Elliptic Curve Digital Signature Algorithm - Bitcoin Wiki

Deriving an ECDSA uncompressed public key from a compressed one

Hey everyone!
I'm currently working on a project where I want to derive an uncompressed Bitcoin ECDSA public key from a compressed one (I have actually posted my problem on Stack Overfow ).
Have you ever tried (succeded in?) doing so?
submitted by clara-sininen to BitcoinTechnology [link] [comments]

Satoshi Nakamoto built in defenses against quantum computing attacks - If you use one Bitcoin address one time, then your ECDSA public key is only ever revealed at the one time that you spend bitcoins sent to each address. A quantum computer would need to be to break your key in that short time.

submitted by crazyeyes420 to Bitcoin [link] [comments]

ECDSA: (X,Y) to public key /r/Bitcoin

ECDSA: (X,Y) to public key /Bitcoin submitted by ABitcoinAllBot to BitcoinAll [link] [comments]

How does ECDSA Encryption work for something like BitCoin? How many "digits" is the private key and public key each?

And theoretically, with proper computing power, how long would it take to crack one of these codes and essentially "reconstruct" a key if you lost it? Sort of like hacking.
I'm writing a story that involves BitCoin and need to understand this. Thanks!
submitted by Raichu93 to NoStupidQuestions [link] [comments]

Simple question: a Bitcoin address is the public key of an ECDSA pair, hashed with SHA-256 and then hashed with RIPEMD-160. Correct?

Finding it pretty hard to get a source that states it in so many words, so I don't know if I got it, or if I missed a step or I have the steps completely wrong.
Also, after going through both passes, it's encoded in base64 for display?
submitted by bitcoinfused to Bitcoin [link] [comments]

Interactive explanation of Public-Key Encryption by RSA Algorithm (Bitcoin uses ECDSA instead of RSA)

submitted by f00000000 to CryptocurrencySA [link] [comments]

How was Craig able to determine Satoshi's public ECDSA key? /r/Bitcoin

How was Craig able to determine Satoshi's public ECDSA key? /Bitcoin submitted by BitcoinAllBot to BitcoinAll [link] [comments]

If you are Satoshi send an alert message using your specific ECDSA public key... /r/Bitcoin

If you are Satoshi send an alert message using your specific ECDSA public key... /Bitcoin submitted by BitcoinAllBot to BitcoinAll [link] [comments]

would bitcoin be less secure if addresses were md5 hashes of public keys instead of ecdsa hashes? /r/Bitcoin

would bitcoin be less secure if addresses were md5 hashes of public keys instead of ecdsa hashes? /Bitcoin submitted by BitcoinAllBot to BitcoinAll [link] [comments]

Once it clicks, it feels like you’ve already won

After flushing the alt/shitcoin phase out of my system in 2018, I’ve refined my focus to dollar cost averaging into bitcoin on a weekly basis. No matter the price, I plan on purchasing $100 of btc every week, as well as buying dips when the opportunity arises. I plan on doing this for at least 10 years, if not the rest of my life.
This by no means will make me rich quick, but over a period of a decade or two, this strategy will almost assuredly keep me afloat, if not reasonably well off financially.
After what has unfolded in 2020, I no longer view bitcoin as a speculation. More so an inevitability. Even if it takes 10 years to get to $100k, that would mean the average rate of return year over year is 100%. What asset class out there today offers that type of opportunity?
submitted by toneblind88 to Bitcoin [link] [comments]

How WOULD bitcoin proceed, if a quantum computer dev actually "hacked" the chain?

I am not asking on a technical level, I am just interested how the community and the core devs would react. Would they make bitcoin quantum computer proof and restore the blockchain to a state before the first malicous block?
Many believe, that this would be the death to bitcoin, but I do not believe that everyone will just have lost all the value. Somehow this coin would revive, but I don't know how and would be interested about your opinion.
submitted by TrudleR to CryptoCurrency [link] [comments]

Technical: Confidential Transactions and Their Implementation Tradeoffs

As requested by estradata here: https://old.reddit.com/Bitcoin/comments/iylou9/what_are_some_of_the_latest_innovations_in_the/g6heez1/
It is a general issue that crops up at the extremes of cryptography, with quantum breaks being just one of the extremes of (classical) cryptography.

Computational vs Information-Theoretic

The dichotomy is between computationally infeasible vs informationally-theoretic infeasible. Basically:
Quantum breaks represent a possible reduction in computational infeasibility of certain things, but not information-theoretic infeasibility.
For example, suppose you want to know what 256-bit preimages map to 256-bit hashes. In theory, you just need to build a table with 2256 entries and start from 0x0000000000000000000000000000000000000000000000000000000000000000 and so on. This is computationally infeasible, but not information-theoretic infeasible.
However, suppose you want to know what preimages, of any size, map to 256-bit hashes. Since the preimages can be of any size, after finishing with 256-bit preimages, you have to proceed to 257-bit preimages. And so on. And there is no size limit, so you will literally never finish. Even if you lived forever, you would not complete it. This is information-theoretic infeasible.

Commitments

How does this relate to confidential transactions? Basically, every confidential transaction simply hides the value behind a homomorphic commitment. What is a homomorphic commitment? Okay, let's start with commitments. A commitment is something which lets you hide something, and later reveal what you hid. Until you reveal it, even if somebody has access to the commitment, they cannot reverse it to find out what you hid. This is called the "hiding property" of commitments. However, when you do reveal it (or "open the commitment"), then you cannot replace what you hid with some other thing. This is called the "binding property" of commitments.
For example, a hash of a preimage is a commitment. Suppose I want to commit to something. For example, I want to show that I can predict the future using the energy of a spare galaxy I have in my pocket. I can hide that something by hashing a description of the future. Then I can give the hash to you. You still cannot learn the future, because it's just a hash, and you can't reverse the hash ("hiding"). But suppose the future event occurs. I can reveal that I did, in fact, know the future. So I give you the description, and you hash it and compare it to the hash I gave earlier. Because of preimage resistance, I cannot retroactively change what I hid in the hash, so what I gave must have been known to me at the time that I gave you the commitment i..e. hash ("binding").

Homomorphic Commitments

A homomorphic commitment simply means that if I can do certain operations on preimages of the commitment scheme, there are certain operations on the commitments that would create similar ("homo") changes ("morphic") to the commitments. For example, suppose I have a magical function h() which is a homomorphic commitment scheme. It can hide very large (near 256-bit) numbers. Then if h() is homomorphic, there may be certain operations on numbers behind the h() that have homomorphisms after the h(). For example, I might have an operation <+> that is homomorphic in h() on +, or in other words, if I have two large numbers a and b, then h(a + b) = h(a) <+> h(b). + and <+> are different operations, but they are homomorphic to each other.
For example, elliptic curve scalars and points have homomorphic operations. Scalars (private keys) are "just" very large near-256-bit numbers, while points are a scalar times a standard generator point G. Elliptic curve operations exist where there is a <+> between points that is homomorphic on standard + on scalars, and a <*> between a scalar and a point that is homomorphic on standard * multiplication on scalars.
For example, suppose I have two large scalars a and b. I can use elliptic curve points as a commitment scheme: I can take a <*> G to generate a point A. It is hiding since nobody can learn what a is unless I reveal it (a and A can be used in standard ECDSA private-public key cryptography, with the scalar a as the private key and the point A as the public key, and the a cannot be derived even if somebody else knows A). Thus, it is hiding. At the same time, for a particular point A and standard generator point G, there is only one possible scalar a which when "multiplied" with G yields A. So scalars and elliptic curve points are a commitment scheme, with both hiding and binding properties.
Now, as mentioned there is a <+> operation on points that is homomorphic to the + operation on corresponding scalars. For example, suppose there are two scalars a and b. I can compute (a + b) <*> G to generate a particular point. But even if I don't know scalars a and b, but I do know points A = a <*> G and B = b <*> G, then I can use A <+> B to derive (a + b) <*> G (or equivalently, (a <*> G) <+> (b <*> G) == (a + b) <*> G). This makes points a homomorphic commitment scheme on scalars.

Confidential Transactions: A Sketch

This is useful since we can easily use the near-256-bit scalars in SECP256K1 elliptic curves to easily represent values in a monetary system, and hide those values by using a homomorphic commitment scheme. We can use the hiding property to prevent people from learning the values of the money we are sending and receiving.
Now, in a proper cryptocurrency, a normal, non-coinbase transaction does not create or destroy coins: the values of the input coins are equal to the value of the output coins. We can use a homomorphic commitment scheme. Suppose I have a transaction that consumes an input value a and creates two output values b and c. That is, a = b + c, i.e. the sum of all inputs a equals the sum of all outputs b and c. But remember, with a homomorphic commitment scheme like elliptic curve points, there exists a <+> operation on points that is homomorphic to the ordinary school-arithmetic + addition on large numbers. So, confidential transactions can use points a <*> G as input, and points b <*> G and c <*> G as output, and we can easily prove that a <*> G = (b <*> G) <+> (c <*> G) if a = b + c, without revealing a, b, or c to anyone.

Pedersen Commitments

Actually, we cannot just use a <*> G as a commitment scheme in practice. Remember, Bitcoin has a cap on the number of satoshis ever to be created, and it's less than 253 satoshis, which is fairly trivial. I can easily compute all values of a <*> G for all values of a from 0 to 253 and know which a <*> G corresponds to which actual amount a. So in confidential transactions, we cannot naively use a <*> G commitments, we need Pedersen commitments.
If you know what a "salt" is, then Pedersen commitments are fairly obvious. A "salt" is something you add to e.g. a password so that the hash of the password is much harder to attack. Humans are idiots and when asked to generate passwords, will output a password that takes less than 230 possibilities, which is fairly easy to grind. So what you do is that you "salt" a password by prepending a random string to it. You then hash the random string + password, and store the random string --- the salt --- together with the hash in your database. Then when somebody logs in, you take the password, prepend the salt, hash, and check if the hash matches with the in-database hash, and you let them log in. Now, with a hash, even if somebody copies your password database, the can't get the password. They're hashed. But with a salt, even techniques like rainbow tables make a hacker's life even harder. They can't hash a possible password and check every hash in your db for something that matches. Instead, if they get a possible password, they have to prepend each salt, hash, then compare. That greatly increases the computational needs of a hacker, which is why salts are good.
What a Pedersen commitment is, is a point a <*> H, where a is the actual value you commit to, plus <+> another point r <*> G. H here is a second standard generator point, different from G. The r is the salt in the Pedersen commitment. It makes it so that even if you show (a <*> H) <+> (r <*> G) to somebody, they can't grind all possible values of a and try to match it with your point --- they also have to grind r (just as with the password-salt example above). And r is much larger, it can be a true near-256-bit number that is the range of scalars in SECP256K1, whereas a is constrained to "reasonable" numbers of satoshi, which cannot exceed 21 million Bitcoins.
Now, in order to validate a transaction with input a and outputs b and c, you only have to prove a = b + c. Suppose we are hiding those amounts using Pedersen commitments. You have an input of amount a, and you know a and r. The blockchain has an amount (a <*> H) <+> (r <*> G). In order to create the two outputs b and c, you just have to create two new r scalars such that r = r[0] + r[1]. This is trivial, you just select a new random r[0] and then compute r[1] = r - r[0], it's just basic algebra.
Then you create a transaction consuming the input (a <*> H) <+> (r <*> G) and outputs (b <*> H) <+> (r[0] <*> G) and (c <*> H) <+> (r[1] <*> G). You know that a = b + c, and r = r[0] + r[1], while fullnodes around the world, who don't know any of the amounts or scalars involved, can just take the points (a <*> H) <+> (r <*> G) and see if it equals (b <*> H) <+> (r[0] <*> G) <+> (c <*> H) <+> (r[1] <*> G). That is all that fullnodes have to validate, they just need to perform <+> operations on points and comparison on points, and from there they validate transactions, all without knowing the actual values involved.

Computational Binding, Information-Theoretic Hiding

Like all commitments, Pedersen Commitments are binding and hiding.
However, there are really two kinds of commitments:
What does this mean? It's just a measure of how "impossible" binding vs hiding is. Pedersen commitments are computationally binding, meaning that in theory, a user of this commitment with arbitrary time and space and energy can, in theory, replace the amount with something else. However, it is information-theoretic hiding, meaning an attacker with arbitrary time and space and energy cannot figure out exactly what got hidden behind the commitment.
But why?
Now, we have been using a and a <*> G as private keys and public keys in ECDSA and Schnorr. There is an operation <*> on a scalar and a point that generates another point, but we cannot "revrese" this operation. For example, even if I know A, and know that A = a <*> G, but do not know a, I cannot derive a --- there is no operation between A G that lets me know a.
Actually there is: I "just" need to have so much time, space, and energy that I just start counting a from 0 to 2256 and find which a results in A = a <*> G. This is a computational limit: I don't have a spare universe in my back pocket I can use to do all those computations.
Now, replace a with h and A with H. Remember that Pedersen commitments use a "second" standard generator point. The generator points G and H are "not really special" --- they are just random points on the curve that we selected and standardized. There is no operation H G such that I can learn h where H = h <*> G, though if I happen to have a spare universe in my back pocket I can "just" brute force it.
Suppose I do have a spare universe in my back pocket, and learn h = H G such that H = h <*> G. What can I do in Pedersen commitments?
Well, I have an amount a that is committed to by (a <*> H) <+> (r <*> G). But I happen to know h! Suppose I want to double my money a without involving Elon Musk. Then:
That is what we mean by computationally binding: if I can compute h such that H = h <*> G, then I can find another number which opens the same commitment. And of course I'd make sure that number is much larger than what I originally had in that address!
Now, the reason why it is "only" computationally binding is that it is information-theoretically hiding. Suppose somebody knows h, but has no money in the cryptocurrency. All they see are points. They can try to find what the original amounts are, but because any amount can be mapped to "the same" point with knowledge of h (e.g. in the above, a and 2 * a got mapped to the same point by "just" replacing the salt r with r - a * h; this can be done for 3 * a, 4 * a etc.), they cannot learn historical amounts --- the a in historical amounts could be anything.
The drawback, though, is that --- as seen above --- arbitrary inflation is now introduced once somebody knows h. They can multiply their money by any arbitrary factor with knowledge of h.
It is impossible to have both perfect hiding (i.e. historical amounts remain hidden even after a computational break) and perfect binding (i.e. you can't later open the commitment to a different, much larger, amount).
Pedersen commitments just happen to have perfect hiding, but only computationally-infeasible binding. This means they allow hiding historical values, but in case of anything that allows better computational power --- including but not limited to quantum breaks --- they allow arbitrary inflation.

Changing The Tradeoffs with ElGamal Commitments

An ElGamal commitment is just a Pedersen commitment, but with the point r <*> G also stored in a separate section of the transaction.
This commits the r, and fixes it to a specific value. This prevents me from opening my (a <*> H) <+> (r <*> G) as ((2 * a) <*> H) <+> ((r - a * h) <*> G), because the (r - a * h) would not match the r <*> G sitting in a separate section of the transaction. This forces me to be bound to that specific value, and no amount of computation power will let me escape --- it is information-theoretically binding i.e. perfectly binding.
But that is now computationally hiding. An evil surveillor with arbitrary time and space can focus on the r <*> G sitting in a separate section of the transaction, and grind r from 0 to 2256 to determine what r matches that point. Then from there, they can negate r to get (-r) <*> G and add it to the (a <*> H) <+> (r <*> G) to get a <*> H, and then grind that to determine the value a. With massive increases in computational ability --- including but not limited to quantum breaks --- an evil surveillor can see all the historical amounts of confidential transactions.

Conclusion

This is the source of the tradeoff: either you design confidential transactions so in case of a quantum break, historical transactions continue to hide their amounts, but inflation of the money is now unavoidable, OR you make the money supply sacrosanct, but you potentially sacrifice amount hiding in case of some break, including but not limited to quantum breaks.
submitted by almkglor to Bitcoin [link] [comments]

CRA Plan for Cryptocurrency Spells Death by Taxation

CRA Plan for Cryptocurrency Spells Death by Taxation submitted by LibDragonfly to metacanada [link] [comments]

[ANN] RustCrypto: `k256` and `p256` v0.2.0: pure Rust secp256k1 and NIST P-256 ECDH and ECDSA (no_std/embedded-friendly)

Announcing v0.4.0 releases of these RustCrypto elliptic curve crates:
(see also ecdsa v0.7 and p384 v0.3)
The major notable new features in these releases are:

Elliptic Curve Diffie-Hellman

Key exchange protocol which establishes a shared secret between two parties.

Elliptic Curve Digital Signature Algorithm

Pervasively used public-key scheme for authenticating messages.

Notes on this release

These crates contain experimental pure Rust implementations of scalafield arithmetic for the respective elliptic curves (secp256k1, NIST P-256). These implementations are new, unaudited, and haven't received much public scrutiny. We have explicitly labeled them as being at a "USE AT YOUR OWN RISK" level of maturity.
That said, these implementations utilize the best modern practices for this class of elliptic curves (complete projective formulas providing constant time scalar multiplication).
In particular:
This release has been a cross-functional effort, with contributions from some of the best Rust elliptic curve cryptography experts. I'd like to thank everyone who's contributed, and hope that these crates are useful, especially for embedded cryptography and cryptocurrency use cases.
EDIT: the version in the title is incorrect. The correct version is v0.4.0, unfortunately the title cannot be edited.
submitted by bascule to rust [link] [comments]

Thanks to all who submitted questions for Shiv Malik in the GAINS AMA yesterday, it was great to see so much interest in Data Unions! You can read the full transcript here:

Thanks to all who submitted questions for Shiv Malik in the GAINS AMA yesterday, it was great to see so much interest in Data Unions! You can read the full transcript here:

Gains x Streamr AMA Recap

https://preview.redd.it/o74jlxia8im51.png?width=1236&format=png&auto=webp&s=93eb37a3c9ed31dc3bf31c91295c6ee32e1582be
Thanks to everyone in our community who attended the GAINS AMA yesterday with, Shiv Malik. We were excited to see that so many people attended and gladly overwhelmed by the amount of questions we got from you on Twitter and Telegram. We decided to do a little recap of the session for anyone who missed it, and to archive some points we haven’t previously discussed with our community. Happy reading and thanks to Alexandre and Henry for having us on their channel!
What is the project about in a few simple sentences?
At Streamr we are building a real-time network for tomorrow’s data economy. It’s a decentralized, peer-to-peer network which we are hoping will one day replace centralized message brokers like Amazon’s AWS services. On top of that one of the things I’m most excited about are Data Unions. With Data Unions anyone can join the data economy and start monetizing the data they already produce. Streamr’s Data Union framework provides a really easy way for devs to start building their own data unions and can also be easily integrated into any existing apps.
Okay, sounds interesting. Do you have a concrete example you could give us to make it easier to understand?
The best example of a Data Union is the first one that has been built out of our stack. It's called Swash and it's a browser plugin.
You can download it here: http://swashapp.io/
And basically it helps you monetize the data you already generate (day in day out) as you browse the web. It's the sort of data that Google already knows about you. But this way, with Swash, you can actually monetize it yourself. The more people that join the union, the more powerful it becomes and the greater the rewards are for everyone as the data product sells to potential buyers.
Very interesting. What stage is the project/product at? It's live, right?
Yes. It's live. And the Data Union framework is in public beta. The Network is on course to be fully decentralized at some point next year.
How much can a regular person browsing the Internet expect to make for example?
So that's a great question. The answer is no one quite knows yet. We do know that this sort of data (consumer insights) is worth hundreds of millions and really isn't available in high quality. So With a union of a few million people, everyone could be getting 20-50 dollars a year. But it'll take a few years at least to realise that growth. Of course Swash is just one data union amongst many possible others (which are now starting to get built out on our platform!)
With Swash, I believe they now have 3,000 members. They need to get to 50,000 before they become really viable but they are yet to do any marketing. So all that is organic growth.
I assume the data is anonymized btw?
Yes. And there in fact a few privacy protecting tools Swash supplys to its users.
How does Swash compare to Brave?
So Brave really is about consent for people's attention and getting paid for that. They don't sell your data as such.
Swash can of course be a plugin with Brave and therefore you can make passive income browsing the internet. Whilst also then consenting to advertising if you so want to earn BAT.
Of course it's Streamr that is powering Swash. And we're looking at powering other DUs - say for example mobile applications.
The holy grail might be having already existing apps and platforms out there, integrating DU tech into their apps so people can consent (or not) to having their data sold - and then getting a cut of that revenue when it does sell.
The other thing to recognise is that the big tech companies monopolise data on a vast scale - data that we of course produce for them. That is stifling innovation.
Take for example a competitor map app. To effectively compete with Google maps or Waze, they need millions of users feeding real time data into it.
Without that - it's like Google maps used to be - static and a bit useless.
Right, so how do you convince these big tech companies that are producing these big apps to integrate with Streamr? Does it mean they wouldn't be able to monetize data as well on their end if it becomes more available through an aggregation of individuals?
If a map application does manage to scale to that level then inevitably Google buys them out - that's what happened with Waze.
But if you have a data union which bundles together the raw location data of millions of people then any application builder can come along and license that data for their app. This encourages all sorts of innovation and breaks the monopoly.
We're currently having conversations with Mobile Network operators to see if they want to pilot this new approach to data monetization. And that's what even more exciting. Just be explicit with users - do you want to sell your data? Okay, if yes, then which data point do you want to sell.
Then the mobile network operator (like T-mobile for example) then organises the sale of the data of those who consent and everyone gets a cut.
Streamr - in this example provides the backend to port and bundle the data, and also the token and payment rail for the payments.
So for big companies (mobile operators in this case), it's less logistics, handing over the implementation to you, and simply taking a cut?
It's a vision that we'll be able to talk more about more concretely in a few weeks time 😁
Compared to having to make sense of that data themselves (in the past) and selling it themselves
Sort of.
We provide the backened to port the data and the template smart contracts to distribute the payments.
They get to focus on finding buyers for the data and ensuring that the data that is being collected from the app is the kind of data that is valuable and useful to the world.
(Through our sister company TX, we also help build out the applications for them and ensure a smooth integration).
The other thing to add is that the reason why this vision is working, is that the current data economy is under attack. Not just from privacy laws such as GDPR, but also from Google shutting down cookies, bidstream data being investigated by the FTC (for example) and Apple making changes to IoS14 to make third party data sharing more explicit for users.
All this means that the only real places for thousands of multinationals to buy the sort of consumer insights they need to ensure good business decisions will be owned by Google/FB etc, or from SDKs or through this method - from overt, rich, consent from the consumer in return for a cut of the earnings.
A couple of questions to get a better feel about Streamr as a whole now and where it came from. How many people are in the team? For how long have you been working on Streamr?
We are around 35 people with one office in Zug, Switzerland and another one in Helsinki. But there are team members all over the globe, we’ve people in the US, Spain, the UK, Germany, Poland, Australia and Singapore. I joined Streamr back in 2017 during the ICO craze (but not for that reason!)
And did you raise funds so far? If so, how did you handle them? Are you planning to do any future raises?
We did an ICO back in Sept/Oct 2017 in which we raised around 30 Millions CHF. The funds give us enough runway for around five/six years to finalize our roadmap. We’ve also simultaneously opened up a sister company consultancy business, TX which helps enterprise clients implementing the Streamr stack. We've got no more plans to raise more!
What is the token use case? How did you make sure it captures the value of the ecosystem you're building
The token is used for payments on the Marketplace (such as for Data Union products for example) also for the broker nodes in the Network. ( we haven't talked much about the P2P network but it's our project's secret sauce).
The broker nodes will be paid in DATAcoin for providing bandwidth. We are currently working together with Blockscience on our tokeneconomics. We’ve just started the second phase in their consultancy process and will be soon able to share more on the Streamr Network’s tokeneconoimcs.
But if you want to summate the Network in a sentence or two - imagine the Bittorrent network being run by nodes who get paid to do so. Except that instead of passing around static files, it's realtime data streams.
That of course means it's really well suited for the IoT economy.
Well, let's continue with questions from Twitter and this one comes at the perfect time. Can Streamr Network be used to transfer data from IOT devices? Is the network bandwidth sufficient? How is it possible to monetize the received data from a huge number of IOT devices? From u/ EgorCypto
Yes, IoT devices are a perfect use case for the Network. When it comes to the network’s bandwidth and speed - the Streamr team just recently did extensive research to find out how well the network scales.
The result was that it is on par with centralized solutions. We ran experiments with network sizes between 32 to 2048 nodes and in the largest network of 2048 nodes, 99% of deliveries happened within 362 ms globally.
To put these results in context, PubNub, a centralized message brokering service, promises to deliver messages within 250 ms — and that’s a centralized service! So we're super happy with those results.
Here's a link to the paper:
https://medium.com/streamrblog/streamr-network-performance-and-scalability-whitepaper-adb461edd002
While we're on the technical side, second question from Twitter: Can you be sure that valuable data is safe and not shared with service providers? Are you using any encryption methods? From u/ CryptoMatvey
Yes, the messages in the Network are encrypted. Currently all nodes are still run by the Streamr team. This will change in the Brubeck release - our last milestone on the roadmap - when end-to-end encryption is added. This release adds end-to-end encryption and automatic key exchange mechanisms, ensuring that node operators can not access any confidential data.
If BTW - you want to get very technical the encryption algorithms we are using are: AES (AES-256-CTR) for encryption of data payloads, RSA (PKCS #1) for securely exchanging the AES keys and ECDSA (secp256k1) for data signing (same as Bitcoin and Ethereum).
Last question from Twitter, less technical now :) In their AMA ad, they say that Streamr has three unions, Swash, Tracey and MyDiem. Why does Tracey help fisherfolk in the Philippines monetize their catch data? Do they only work with this country or do they plan to expand? From u/ alej_pacedo
So yes, Tracey is one of the first Data Unions on top of the Streamr stack. Currently we are working together with the WWF-Philippines and the UnionBank of the Philippines on doing a first pilot with local fishing communities in the Philippines.
WWF is interested in the catch data to protect wildlife and make sure that no overfishing happens. And at the same time the fisherfolk are incentivized to record their catch data by being able to access micro loans from banks, which in turn helps them make their business more profitable.
So far, we have lots of interest from other places in South East Asia which would like to use Tracey, too. In fact TX have already had explicit interest in building out the use cases in other countries and not just for sea-food tracking, but also for many other agricultural products.
(I think they had a call this week about a use case involving cows 😂)
I recall late last year, that the Streamr Data Union framework was launched into private beta, now public beta was recently released. What are the differences? Any added new features? By u/ Idee02
The main difference will be that the DU 2.0 release will be more reliable and also more transparent since the sidechain we are using for micropayments is also now based on blockchain consensus (PoA).
Are there plans in the pipeline for Streamr to focus on the consumer-facing products themselves or will the emphasis be on the further development of the underlying engine?by u/ Andromedamin
We're all about what's under the hood. We want third party devs to take on the challenge of building the consumer facing apps. We know it would be foolish to try and do it all!
As a project how do you consider the progress of the project to fully developed (in % of progress plz) by u/ Hash2T
We're about 60% through I reckon!
What tools does Streamr offer developers so that they can create their own DApps and monetize data?What is Streamr Architecture? How do the Ethereum blockchain and the Streamr network and Streamr Core applications interact? By u/ CryptoDurden
We'll be releasing the Data UNion framework in a few weeks from now and I think DApp builders will be impressed with what they find.
We all know that Blockchain has many disadvantages as well,
So why did Streamr choose blockchain as a combination for its technology?
What's your plan to merge Blockchain with your technologies to make it safer and more convenient for your users? By u/ noonecanstopme
So we're not a blockchain ourselves - that's important to note. The P2P network only uses BC tech for the payments. Why on earth for example would you want to store every single piece of info on a blockchain. You should only store what you want to store. And that should probably happen off chain.
So we think we got the mix right there.
What were the requirements needed for node setup ? by u/ John097
Good q - we're still working on that but those specs will be out in the next release.
How does the STREAMR team ensure good data is entered into the blockchain by participants? By u/ kartika84
Another great Q there! From the product buying end, this will be done by reputation. But ensuring the quality of the data as it passes through the network - if that is what you also mean - is all about getting the architecture right. In a decentralised network, that's not easy as data points in streams have to arrive in the right order. It's one of the biggest challenges but we think we're solving it in a really decentralised way.
What are the requirements for integrating applications with Data Union? What role does the DATA token play in this case? By u/ JP_Morgan_Chase
There are no specific requirements as such, just that your application needs to generate some kind of real-time data. Data Union members and administrators are both paid in DATA by data buyers coming from the Streamr marketplace.
Regarding security and legality, how does STREAMR guarantee that the data uploaded by a given user belongs to him and he can monetize and capitalize on it? By u/ kherrera22
So that's a sort of million dollar question for anyone involved in a digital industry. Within our system there are ways of ensuring that but in the end the negotiation of data licensing will still, in many ways be done human to human and via legal licenses rather than smart contracts. at least when it comes to sizeable data products. There are more answers to this but it's a long one!
Okay thank you all for all of those!
The AMA took place in the GAINS Telegram group 10/09/20. Answers by Shiv Malik.
submitted by thamilton5 to streamr [link] [comments]

ABCMint is a quantum resistant cryptocurrency with the Rainbow Multivariable Polynomial Signature Scheme.

Good day, the price is going up to 0.3USDT.

ABCMint Second Foundation

ABCMint has been a first third-party organization that focuses on post-quantum cryptography research and technology and aims to help improve the ecology of ABCMint technology since 2018.


https://abcmintsf.com

https://abcmintsf.com/exchange


What is ABCMint?

ABCMint is a quantum resistant cryptocurrency with the Rainbow Multivariable Polynomial Signature Scheme.

Cryptocurrencies and blockchain technology have attracted a significant amount of attention since 2009. While some cryptocurrencies, including Bitcoin, are used extensively in the world, these cryptocurrencies will eventually become obsolete and be replaced when the quantum computers avail. For instance, Bitcoin uses the elliptic curved signature (ECDSA). If a bitcoin user?s public key is exposed to the public chain, the quantum computers will be able to quickly reverse-engineer the private key in a short period of time. It means that should an attacker decide to use a quantum computer to decrypt ECDSA, he/she will be able to use the bitcoin in the wallet.

The ABCMint Foundation has improved the structure of the special coin core to resist quantum computers, using the Rainbow Multivariable Polynomial Signature Scheme, which is quantum resisitant, as the core. This is a fundamental solution to the major threat to digital money posed by future quantum computers. In addition, the ABCMint Foundation has implemented a new form of proof of arithmetic (mining) "ABCardO" which is different from Bitcoin?s arbitrary mining. This algorithm is believed to be beneficial to the development of the mathematical field of multivariate.


Rainbow Signature - the quantum resistant signature based on Multivariable Polynomial Signature Scheme

Unbalanced Oil and Vinegar (UOV) is a multi-disciplinary team of experts in the field of oil and vinegar. One of the oldest and most well researched signature schemes in the field of variable cryptography. It was designed by J. Patarin in 1997 and has withstood more than two decades of cryptanalysis. The UOV scheme is a very simple, smalls and fast signature. However, the main drawback of UOV is the large public key, which will not be conducive to the development of block practice technology.

The rainbow signature is an improvement on the oil and vinegar signature which increased the efficiency of unbalanced oil and vinegar. The basic concept is a multi-layered structure and generalization of oil and vinegar.


PQC - Post Quantum Cryptography

The public key cryptosystem was a breakthrough in modern cryptography in the late 1970s. It has become an increasingly important part of our cryptography communications network over The Internet and other communication systems rely heavily on the Diffie-Hellman key exchange, RSA encryption, and the use of the DSA, ECDSA or related algorithms for numerical signatures. The security of these cryptosystems depends on the difficulty level of number theory problems such as integer decomposition and discrete logarithm problems. In 1994, Peter Shor demonstrated that quantum computers can solve all these problems in polynomial time, which made this security issue related to the cryptosystems theory irrelevant. This development is known as the "post-quantum cryptography" (PQC)

In August 2015, the U.S. National Security Agency (NSA) released an announcement regarding its plans to transition to quantum-resistant algorithms. In December 2016, the National Institute of Standards and Technology (NIST) announced a call for proposals for quantum-resistant algorithms. The deadline was November 30, 2017, which also included the rainbow signatures used for ABCMint.
submitted by WrapBeautiful to ABCMint [link] [comments]

Is there any protection against secret quantum computing on our Bitcoin Cash private keys?

If a person who uses a quantum computer mine private keys in secret, then do they get everyone's Bitcoin Cash? Or is it not feasible to mine private keys with a quantum computer.

I'm assuming if there was a quantum computer mining in secret, then we could just change the algorithm, but I don't know about private keys.
submitted by lopokoko to btc [link] [comments]

The NSA Backdoor question....

So over a lunch conversation with a nocoiner I got what i thought sounded like a far fetched conspiracy theory, went a little like this... "Mmm yeah I reckon the NSA has a backdoor code that would allow them access to any private key simply by looking at the public key" ... I'm used to the "Bitcoin will be hacked" arguement but this seems to be on a different level.
Thoughts? It's a new one for me for sure and not sure how to answer it....
submitted by hungdoge to Bitcoin [link] [comments]

08-13 21:45 - 'Building the Infrastructure for the Future Decentralized Financial Market, Coinbase Included HBTC.Com Debut DeFi Project - Nest Protocol' (self.Bitcoin) by /u/Nest_Fan removed from /r/Bitcoin within 24-34min

'''
As the world’s leading regulatory compliant digital asset exchange, Coinbase sets one of the most stringent requirements for digital asset listing which includes technical evaluation of projects, legal and risk analysis, market supply and demand analysis, and crypto-economics. Coinbase holds a strong reputation in the digital asset industry, and thus the “Coinbase Standard” is considered as the industry benchmark for other digital asset projects, and the market has even seen the “Coinbase effect”.
On July 25 2020, Coinbase quietly launched the pricing chart of a decentralized oracle project, NEST Protocol (NEST), into its portal. Although Coinbase has yet to announce the inclusion of the project in its evaluation list, it represents a keen interest in the DeFi sector, and particularly in the DeFi price oracle projects.
NEST Protocol is the rising star in the decentralized price oracle sector
Decentralized financial services offered by the current mainstream DeFi platforms such as MakerDAO, Compound, dYdX, etc. rely heavily on the market data provided by the oracle projects. Oracle projects act as reliable information sources to feed these price data to other DeFi Projects, connecting the price data from the centralized world to the DeFi space. As such, the price oracle is an integral part of the decentralized financial services infrastructure.
Traditionally, the price oracle collects data from different platforms and feeds these data points to the DeFi space to create data reference points to enable them to function properly. However, many problems currently exist in the DeFi space, for example, blockchain network congestion, malicious attacks, wild market fluctuations, and other factors that may cause the data given by the price oracle to deviate from the true market data. These ultimately cause users to trade on wrong information in the DeFi space and increases such transaction costs.
Decentralized finance requires a fast, secure, and reliable price oracle. The birth of the decentralized price oracle is the embodiment of the blockchain industry’s thinking, and the current market projects offering decentralized price oracle services which includes NEST Protocol, Chainlink, Band Protocol, Tellor, Witness, Oraclize, and many others.
The innovation of NEST-Price is that every data point has been agreed upon by market validators, in line with the blockchain consensus mechanism. NEST-Price synchronizes the off-chain price in a highly decentralized manner, creating real and valid price data on-chain. This is the unique differentiator between NEST-Price and other price oracles.
Compared with other price oracle projects, NEST also has other features and advantages, such as the proposed peer-to-peer quotation matching as well as its unique verifier verification structure, making NEST more resilient to malicious attacks, resulting in a more decentralized network, and it’s on-chain prices closer to the fair market price. All of this has resulted in the NEST Protocol becoming a rising star in the DeFi price oracle sector. HBTC.com selects high-quality projects to list and partnering with NEST to promote the development of DeFi ecosystem
During the selection of quality assets, exchanges like [HBTC.com]1 and Coinbase adhere to the principle of a rigorous selection of assets from different projects to enable a proper range of digital assets. At the same time, in order to solve existing pain points in the digital asset industry, which currently lacks a market-making management solution, HBTC.com also has launched its own “coin listing crowdsourcing [liquidity initiative]2 “, redefining the exchange market making model.
HBTC.com, through its coin listing strategy, effectively reduces the problem of low liquidity in the early stages of high-quality projects, ensuring the smoothness of the user experience, and achieves a win-win situation for traders, the community, and the respective trading platform. These initiatives, coupled with reliable user protection and a responsible attitude, have earned a positive reputation among users.
Since its inception, the HBTC.com exchange has been committed to the discovery of both quality and promising digital asset projects. At a time when DeFi is growing rapidly, HBTC.com has a unique perspective for the decentralized price oracle sector and has prioritized NEST as a premium partner to debut the project alongside with its global branding upgrade. In addition, HBTC.com has [100% proof of reserves]3 for traders to validate the existence of assets via the Merkle tree, which brings transparency to the extreme.
In May 2020, NEST token delivered a 883.29% of return, at its peak, after its global debut on HBTC.com. At present, HBTC Exchange addresses holding NEST token accounts in a total of 141 million, ranked first in the overall network. At the same time, the HBTC Exchange network exclusively releases NEST staking mining and data show that NEST 24-hour turnover has reached $20.4 million.
Post-listing of the NEST token, HBTC.com has also listed DeFi projects such as DF, OKS, NEST, SWTH, JST, NVT, and other DeFi projects with market potential; some projects have achieved astonishing performance in the secondary market.
HBTC.com’s path to DeFi: developing public chains to prepare for the future ecosystem breakout.
In terms of the DeFi product and ecosystem infrastructure, HBTC has deployed HBTC Chain since launched in 2018, an infrastructure designed for decentralized finance and DeFi business with patented Bluehelix decentralized cross-chain clearing and custody technology.
The HBTC Chain is the DeFi ecosystem infrastructure that the team has spent a significant amount of effort to build. It is based on decentralization and community consensus and integrates cryptography and blockchain technologies to support decentralized association-based governance capabilities at the technical level. Based on decentralized key management, combining various cryptography tools including ECDSA, commitment, zero-knowledge proof, and multi-party computation, It implements the distributed private key generation and signature for cross-chain assets among all validators. On top of that, this technology can realize light-weight and non-intrusive cross-chain asset custody. On the clearing layer, HBTC Chain employs BHPOS consensus and horizontal sharding mechanisms to achieve high-performing transaction clearing, and implementation of OpenDex protocol to help the development of the DeFi ecosystem.
In addition, with the success experience of Bluehelix Cloud SaaS and white label solutions and the HBTC Brokerage system, HBTC’s public chain also innovatively supports CEX+DEX mixed matchmaking model and OpenDex protocol and proposes the three-tier node system which consists of standard node + consensus node + core node. This structure provides HBTC public chain certain advantages in terms of performance and cross-chain transactions. Users can easily establish a DEX with OpenDex protocol at nearly zero cost, and all DEX will share the liquidity and support customized user interface and trading parameters. The trading experience can be completely comparable to centralized spot exchanges.
With the launch of its test network, it is now possible to develop various DeFi applications on the HBTC public chain, such as decentralized swap, so that private keys are not controlled by any party; no KYC, which can prevent personal information leakage; and asset security through the setting of invalidation, cancellation of transactions and other functions, cross-chain asset mappings, such as the ability to issue cross-chain cBTC or other chain tokens, fully decentralized asset mapping contracts, and 100% reserves.
Conclusion
In the past few months, the DeFi market has been extremely active, the price of DeFi tokens has been rising, and a new round of competition with the centralized exchanges has started. HBTC Chain relies on the powerful technology of Bluehelix and [HBTC.com]1 , giving all public chains the ability to interconnect, and put into both DeFi and SaaS levels. Undoubtedly, as one of the first exchanges to build the DeFi ecosystem, HBTC is leading the breakout in the current DeFi craze and has now become the first choice of users to engage with quality DeFi projects.

From BITCOIN news([[link]6 )
'''
Building the Infrastructure for the Future Decentralized Financial Market, Coinbase Included HBTC.Com Debut DeFi Project - Nest Protocol
Go1dfish undelete link
unreddit undelete link
Author: Nest_Fan
1: *btc*com/ 2: m*diu**com/hbt***ficia*/hbt*-launches-ba**liquidi*y***owd*unding-li*ti*g-plan-redefine-t*e*exch*nge-*i*tin**m*d*l***6*58f*f1d* 3: hbtc.ze**e*k*co*/hc/*n-us/a**icles/3***46287754-HBT*-10*-*ro***of*Reserve 4: hb*c.co*/ 5: n*ws.bitcoin.c*m*bu*ld*ng-t**-infr***ructur*-f*r-the*fut*re*decen**ali**d-*inanc*a*-market-coi**as*-*ncluded-h*t*-*o*-*ebut-de**-p*oject-n*st-**otocol* 6: n**s.bit*oin*com/building-th*-infrast*u*ture*for-t*e-fut****decen**a**zed**inancia*-m*rket-coinbase-**c*uded-*b*c-c***deb***defi-**oject-*est**r**ocol/]^^5
Unknown links are censored to prevent spreading illicit content.
submitted by removalbot to removalbot [link] [comments]

ECDSA: How does Bitcoin "chooses" the Elliptic Curve point?

Recently I've read about point addition in elliptic curves and the ECDSA and became curious about how it is applied in the bitcoin code.
I've learned that the main idea is, given a point P in the elliptic curve, the relation is:

X = xP, where x is the 256-bit integer number Private Key and X is the Public Key.

So, my questions are:

1 - How is the point P "chosen"? Is it the same everytime? Or is it randomized?
2 - How is X format defined? Do you just concatenate the x and y coordinates of P?
submitted by marcelo10fr1 to Bitcoin [link] [comments]

ECDSA In Bitcoin

Digital signatures are considered the foundation of online sovereignty. The advent of public-key cryptography in 1976 paved the way for the creation of a global communications tool – the Internet, and a completely new form of money – Bitcoin. Although the fundamental properties of public-key cryptography have not changed much since then, dozens of different open-source digital signature schemes are now available to cryptographers.

How ECDSA was incorporated into Bitcoin

When Satoshi Nakamoto, a mystical founder of the first crypto, started working on Bitcoin, one of the key points was to select the signature schemes for an open and public financial system. The requirements were clear. An algorithm should have been widely used, understandable, safe enough, easy, and, what is more important, open-sourced.
Of all the options available at that time, he chose the one that met these criteria: Elliptic Curve Digital Signature Algorithm, or ECDSA.
At that time, native support for ECDSA was provided in OpenSSL, an open set of encryption tools developed by experienced cipher banks in order to increase the confidentiality of online communications. Compared to other popular schemes, ECDSA had such advantages as:
These are extremely useful features for digital money. At the same time, it provides a proportional level of security: for example, a 256-bit ECDSA key has the same level of security as a 3072-bit RSA key (Rivest, Shamir и Adleman) with a significantly smaller key size.

Basic principles of ECDSA

ECDSA is a process that uses elliptic curves and finite fields to “sign” data in such a way that third parties can easily verify the authenticity of the signature, but the signer himself reserves the exclusive opportunity to create signatures. In the case of Bitcoin, the “data” that is signed is a transaction that transfers ownership of bitcoins.
ECDSA has two separate procedures for signing and verifying. Each procedure is an algorithm consisting of several arithmetic operations. The signature algorithm uses the private key, and the verification algorithm uses only the public key.
To use ECDSA, such protocol as Bitcoin must fix a set of parameters for the elliptic curve and its finite field, so that all users of the protocol know and apply these parameters. Otherwise, everyone will solve their own equations, which will not converge with each other, and they will never agree on anything.
For all these parameters, Bitcoin uses very, very large (well, awesomely incredibly huge) numbers. It is important. In fact, all practical applications of ECDSA use huge numbers. After all, the security of this algorithm relies on the fact that these values are too large to pick up a key with a simple brute force. The 384-bit ECDSA key is considered safe enough for the NSA's most secretive government service (USA).

Replacement of ECDSA

Thanks to the hard work done by Peter Wuille (a famous cryptography specialist) and his colleagues on an improved elliptical curve called secp256k1, Bitcoin's ECDSA has become even faster and more efficient. However, ECDSA still has some shortcomings, which can serve as a sufficient basis for its complete replacement. After several years of research and experimentation, a new signature scheme was established to increase the confidentiality and efficiency of Bitcoin transactions: Schnorr's digital signature scheme.
Schnorr's signature takes the process of using “keys” to a new level. It takes only 64 bytes when it gets into the block, which reduces the space occupied by transactions by 4%. Since transactions with the Schnorr signature are the same size, this makes it possible to pre-calculate the total size of the part of the block that contains such signatures. A preliminary calculation of the block size is the key to its safe increase in the future.
Keep up with the news of the crypto world at CoinJoy.io Follow us on Twitter and Medium. Subscribe to our YouTube channel. Join our Telegram channel. For any inquiries mail us at [[email protected]](mailto:[email protected]).
submitted by CoinjoyAssistant to btc [link] [comments]

tBTC an erc20 wrapped version of BTC, like erc20 wBTC; but is trustless and does not require a centralised party to mint wrapped btc like wBTC

I found this article on /Ethereum though it didnt go into the specs of how this works:
https://np.reddit.com/ethereum/comments/ftqdna/bitcoin_to_ethereum_bridge_raises_77_million_in/
https://decrypt.co/24336/bitcoin-to-ethereum-bridge-raises-7-7-million-in-token-sale?utm_source=reddit&utm_medium=social&utm_campaign=sm
as the article says wrapped bitcoin has been done before e.g. wBTC but wBTC requires a centralised party to mint wBTC from BTC held by this party; making it out of the question as its centralised.
did some digging there is a whitepaper , but i wanted more details on the tBTC implementation.
I went on their github and looked at the readme on some projects; found a few interesting things, though not an entire explanation.
https://github.com/keep-network/tbtc
tBTC is a trustlessly Bitcoin-backed ERC-20 token.
The goal of the project is to provide a stronger 2-way peg than federated sidechains like Liquid, expanding use cases possible via today’s Bitcoin network, while bringing superior money to other chains.
This repo contains the Solidity smart contracts and specification.
https://github.com/keep-network/tbtc
tbtc.js provides JS bindings to the tBTC system. The tBTC system is a bonded, multi-federated peg made up of many deposits backed by single-use BTC wallets to enable their value’s corresponding usage on the Ethereum chain, primarily through the minting of a TBTC ERC20 token whose supply is guaranteed to be backed by at least 1 BTC per TBTC in circulation.
finally this is the best:
https://tbtc.network/developers/tbtc-technical-system-overview
here is the first few pargarphs
2020-04-01 tBTC incorporates novel design features that carry important implications for users. This piece explains four of these: TDT receipts, multiple lot sizes, Keep's random beacon, and threshold signatures.
TBTC Deposit Token (TDT) The TBTC Deposit Token (TDT) is a non-fungible token that is minted when a user requests a deposit. A TDT is a non-fungible ERC-721 token that serves as a counterpart to TBTC. It represents a claim to a deposit's underlying UTXO on the Bitcoin blockchain.
TBTC deposits can be locked or unlocked. A locked deposit can only be redeemed by the deposit owner with the corresponding TDT. Each TDT is unique to the deposit that mints it and carries the exclusive right for up to a 6 month term to redeem the deposit.
also this paragraph addresses creating wallets with the created tokens
Random Beacon for Signer Selection
The Keep network requires a trusted source of randomness to select tBTC signers. This takes the form of a BLS Threshold Relay.
When a request comes in to create a signing group, the tBTC system uses a random seed from a secure decentralized random beacon to randomly select signing group members from the eligible pool of signers. These signers coordinate a distributed key generation protocol that results in a public ECDSA key for the group, which is used to produce a wallet address that is then published to the host chain. This completes the signer selection phase.
my take away from this is that by using side chains that a trustless, not fedeared like liquid bitcoin sidechains sold by blockstream. it uses NFT erc-721 tokens as representation of the bitccoin UTXO from the bitcoin blockchain, store it in a wallet and mint it into tBTC. given this is all smart contracts generating wallets and minting the tBTC, it does away with the need of a centralised party to provide the funds of BTC to create a wrapped erc20 version on ethereum and so should be trustles.
perhaps erc20 token trading is the way to go forward. just requires wrapping of exisitng tokens. this looks promising for DeXs and DeFi if it happens.
also opens the possibiliy of multicollateral Dai (MCD) using tBTC in addition to eth and BAT. though personally i think btc should not be used in MCD.
any thoughts on this? or if my understanding is off.
thanks
edit: got some more info from px403
I talked to James a bit about tBTC in Osaka, so I have a vague idea of how it works, so I might be able to explain it in a somewhat coherent way.
Basically, the magic here is they reimplemented Bitcoin's SPV as an Ethereum smart contract, effectively letting them query the current state of the Bitcoin network, including validity of payments, directly in contract. Using this, they built an auction system where people can at any time claim ETH by paying BTC, or claim BTC by paying ETH. By design the spread is wide, so this isn't actually intended to be a high volume exchange, but what you do get is a pretty good price oracle.
From the price oracle, I think there were doing some Maker style CDPs or something, where people could lock up their BTC on the Bitcoin network to redeem tBTC, and any of the locked BTC could be reclaimed by burning tBTC or something.
Sorry it's not a complete picture of what's going on, but I think that's the general gist of what they're doing.
submitted by Neophyte- to CryptoTechnology [link] [comments]

Bitcoin 101 Elliptic Curve Cryptography Part 5 The Magic of Signing & Verifying Bitcoin 101 Elliptic Curve Cryptography Part 4 Generating ... Bitcoin 101 - Elliptic Curve Cryptography - Part 4 ... Cracking Bitcoin Private Keys in Seconds - YouTube Hack Non spendable Bitcoin Today

How are public keys used in Bitcoin? You can give your public key away to people so that they can include it in the the locking script of an output when they create a transaction. We can give people our public key so that they can send us bitcoins. This is called Pay-To-Pubkey . However, in Bitcoin we now more commonly hash160 our public key before giving it away. The public key is then used ... ECDSA (‘Elliptical Curve Digital Signature Algorithm’) is the cryptography behind private and public keys used in Bitcoin. It consists of combining the math behind finite fields and elliptic ... How to recover ECDSA public key from the signature? I know that all is need is a hash of the unsigned message and signature. But may be there is some detailed method for to calculate ECDSA public... When reading it it looked like the additional calculations were for the bitcoin address or the signature rather than just the public key (as I have no need or care for the signature or address right now since I think it will only serve to further confuse me). I see you reference those things (signature and address). I'm only looking to find how to convert the Private key to Public key and what ... SSL verwendet asymmetrische Verschlüsselung oder Public-Key-Verschlüsselung, um eine Verbindung herzustellen. Der öffentliche Schlüssel (public) steht allen zur Verfügung. Es wird verwendet, um Daten zu verschlüsseln, wenn der Browser auf den Server zugreift. Bitcoin Digital Keys . Der kryptographische Schlüssel wurde 1970 erfunden und ist heute die mathematische Grundlage der ...

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Bitcoin 101 Elliptic Curve Cryptography Part 5 The Magic of Signing & Verifying

Create Public Key from Private (ECDSA Encryption) Helpful? Please support me on Patreon: https://www.patreon.com/roelvandepaar With thanks & praise to God, a... Bitcoin 101 - Quindecillions & The Amazing Math Of Bitcoin's Private Keys - Duration: 23:51. ... Fast Secure Two Party ECDSA Signing - Duration: 22:08. TheIACR 1,663 views. 22:08 . How Bitcoin ... Bitcoin 101 - Elliptic Curve Cryptography - Part 4 - Generating the Public Key (in Python) - Duration: 21:22. CRI 26,257 views. 21:22. ... This video shows how easy it is to paste, verify, and sign a message using an ECDSA private key behind a Bitcoin address. Vídeo original: https://youtu.be/iB3HcPgm_FI Welcome to part four in our series on Elliptic Curve Cryptography. I this episode we dive into the development o...

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