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I looked for the actual implementation of the signature and the recovery algorithms, and this is what I found. The relevant excerpt is here:. Well, that requires us going a little more into the maths. If you go back to my post on elliptic curves , you will see that they are symmetric over the x-axis.
In the signature verification algorithm, we are given a signature r, s , a message m and a public key Q. The point X is computed as. This means, essentially, that if r, s is a valid signature, the pair r, n - s is valid as well for the same message and signing key. It is possible to recover a public key from the signature only. Recall that Q is the public key, and that X is the random point chosen during signing.
All the other values are publicly known during verification: the base point for the elliptic curve G , the signature pair r, s , and the hash of the message e. So, if we know the value of X we can find the public key Q by. This in turn means that the overwhelming majority of r determine a unique x. The conclusion from the above is that any r can generate two valid signatures, and a few of them can generate up to 4. Each of them leads to the recovery of a different public key, and so we need a way to distinguish which is the real one.
This is why Ethereum signatures include a third element, the value v , called the recovery identifier. This is the recid variable you can see in the code. If the value of x is larger than n , recid will be 2 or 3. If not, it will be 0 or 1. Which one it is is determined by the parity of the y coordinate.
As I told you above, there are two valid coordinates for each x. Because q is always odd since it is a big prime number , if y is even then y' must be odd and vice-versa. That is, y and y' always have opposite parity.
So, if the y coordinate of the random point is odd, recid will be odd as well. We can summarize this in the following way:. The Yellow Paper adds some further caveats to this. First, for some reason it does not explain, it adds a base 27 to these values, so that the results are in the range 27 to Then, it defines that overflow which it calls finiteness situations are illegal, further reducing the range of v to 27 or This brings us to the end of this post.
Hopefully, it clarifies the meaning and purpose of the mysterious extra value in an Ethereum signature. If you like what I write, please hit the like button below, or share it with your contacts. So if you want to check that a message was signed by an account you need to pass the r,s and v values to your contract.
Notice that when you send transactions to the network, the network do the verification automatically. The signature can be obtained with web3, see here. Also for a complete discussion see this answer. Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams � Start collaborating and sharing organizational knowledge. Create a free Team Why Teams? Learn more about Teams. How to use ecrecover and what it is?
Ask Question. Asked 4 years, 9 months ago. Modified 4 years, 9 months ago. Viewed 4k times. Improve this question. Add a comment. Sorted by: Reset to default. Highest score default Date modified newest first Date created oldest first. The signature can be obtained with web3, see here Also for a complete discussion see this answer Hope this help. Improve this answer. Jaime Jaime 8, 1 1 gold badge 8 8 silver badges 19 19 bronze badges. How do I compute transaction signature?
The link in the answer shows how to do it using web3. No sorry. I mean how do I compute the called signature requiring for computing ecrecover parameters. Sorry, I do not understand.
Sign in to your account. It would be nice if the documentation would explain the parameters and maybe give an example on how you would use this function. The text was updated successfully, but these errors were encountered:. For now, take a look at this. Hopefully it'll tide you over until I can properly document this. Sorry, something went wrong. VoR , do you think this should be explicitly stated in these docs or is a quick link to the web3 docs sufficient?
I wish the code axic posted was part of the standard library. Without it ecrecover is pretty useless to the normal developer. There is a wrong answer when I use ecrecover,the address always be different. Is there something different between those two method? I have try those method upstair,web3. Hello, apologies if this is not the correct place to comment on this and please direct me elsewhere if necessary , but I am having the same issue - following all the examples, including the one linked to from here , I am unable to get ecrecover to work as documented i.
Can anyone explain what may be wrong? I'm not sure how much detail we would like to mention here. We should mention that a return value of zero means "invalid input" and that the ecrecover builtin still has the "high s" issue, i. I can find a lot of questions, but I'm also not sure how many still apply. Also because we bump into the issue of Solidity being part of a toolchain again, most of the examples to show how to use ecrecover properly use something else alongside, I can do that if you think it's a good idea?
There are no search results for "high s", and no one else I spoke to at EF knew what was meant by it. So I am happy to document, but need a little guidance. We should say something along the lines of "if you use the low-level ecrecover function, be aware that a valid signature can be turned into a different valid signature without requiring knowledge of the corresponding private key.
This is usually not a problem unless if you require signatures to be unique or use them to identify items. Does this help leonardoalt and chriseth? As I'm not sure this doc is true until that point? Skip to content. Star New issue. Jump to bottom. Projects 0. Copy link. Learn more about Teams. How to use ecrecover and what it is? Ask Question. Asked 4 years, 9 months ago.
Modified 4 years, 9 months ago. Viewed 4k times. Improve this question. Add a comment. Sorted by: Reset to default. Highest score default Date modified newest first Date created oldest first. The signature can be obtained with web3, see here Also for a complete discussion see this answer Hope this help. Improve this answer. Jaime Jaime 8, 1 1 gold badge 8 8 silver badges 19 19 bronze badges. How do I compute transaction signature? The link in the answer shows how to do it using web3.
No sorry. I mean how do I compute the called signature requiring for computing ecrecover parameters. Sorry, I do not understand. Maybe a bit of context in the question, indicating what you are doing, will make easy for me to provide more help. Let me know. The problem is keccak and the nonce. Show 2 more comments. Sign up or log in Sign up using Google.
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What I know is that ecrecover returns an address, and verifying a signature is essentially a matter of comparing the resulting address with the expected one. Yet the whole procedure seems unnecessarily complicated. Here's a good example from the ethereumjs utils library:. Even though you may sign two different msgs with the same private key, the signing process internally generates a random nonce value k that is used as part of the calculation and must be different for each generated signature.
Note: I'm no cryptographer. This is what I've dug up trying to answer the same questions you have. I'd suggest looking at some of the online resources for elliptic curves. The problem you'd have generating a signature from within Solidity is you'd have to expose the private key. Alternatively, you could generate a signature outside of the normal Ethereum transaction process using one of the many elliptic curve libraries and send that resulting signature to a contract.
Since the signature only includes the x coordinate of the point R , there are either 0, 1, 2, 3, or 4 matching y coordinates over the Secpk1 elliptic curve. Now we know how to get to the recovery ID. In addition to v values of In Ethereum, v reflects the chain for replay protection and the ID for signature recovery.
I know this is not a question, but this is literally how elliptic-curve cryptography works: it's just mathematical operations with various points on a curve. An address is just a pretty-formatted version of the public key; the public key is just a point on the Secpk1 elliptic curve.
A signature is just another point. And if you do public key magic and signature magic, at the end of this math-heavy process you have two points public keys and if they are exact matches, the signature can be considered verified.
That ecrecover returns an address is just for your convenience: you can directly compare if the signature address matches the signer address - and that is much easier to do in Solidity as opposed to deal with uncompressed public keys. Sign up to join this community. The best answers are voted up and rise to the top.
Stack Overflow for Teams � Start collaborating and sharing organizational knowledge. Create a free Team Why Teams? Learn more about Teams. Ethereum ecrecover signature verification and encryption Ask Question. Asked 6 years, 11 months ago. Modified 1 year, 1 month ago. Viewed 16k times. The question of signing and verifying signatures with Solidity has been asked in these questions, both of which I have tried to study: How can I sign a piece of data with the private key of an Ethereum address?
How can I verify a cryptographic signature that was produced by an Ethereum address key pair However, there are still pieces of information that I appear to be missing. Improve this question. Check out ethereum. I agree that this procedure is a bit too complicated, and I expressed this issue here: github. I'm afraid that the question in question is not in Solidity. What I am trying to accomplish has to be executed within a contract.
Can you expand a bit on why you would want to sign something inside a contract? As has been mentioned this will expose the private key of the signer to everyone � MrChico.
I merely want to verify a signature in the format specified above within a contract. The signing part would be just for unit testing. The verification procedure is done in a solidity contract in the question I linked to � MrChico. Show 3 more comments. Sorted by: Reset to default. Highest score default Date modified newest first Date created oldest first.
Improve this answer. Thanks for the response! Highest score default Date modified newest first Date created oldest first. The signature can be obtained with web3, see here Also for a complete discussion see this answer Hope this help. Improve this answer. Jaime Jaime 8, 1 1 gold badge 8 8 silver badges 19 19 bronze badges. How do I compute transaction signature? The link in the answer shows how to do it using web3.
No sorry. I mean how do I compute the called signature requiring for computing ecrecover parameters. Sorry, I do not understand. Maybe a bit of context in the question, indicating what you are doing, will make easy for me to provide more help.
Let me know. The problem is keccak and the nonce. Show 2 more comments. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. Not the answer you're looking for? Browse other questions tagged solidity erc or ask your own question. The Overflow Blog. Monitoring debt builds up faster than software teams can pay it off. Because the only thing worse than building internal tools is maintaining them Ticket smash for [status-review] tag: Part Deux.
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WebMay 12, �� 1. The code block of getting signer address via ecrecover in solidity contract code is working well with Ethereum but in TRON it is returning wrong address My . WebJun 23, �� axic removed this from the 4-ecrecover milestone on Jul 30, axic removed the accepted label on Aug 1, ChrisChinchilla mentioned this issue on Oct . WebEthereum signatures must conform to the secpk1 curve R, S and V values, requiring the V value must be either 27 or // EcRecover returns the address for the account that .