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I'm trying to solve a challenge about finding ECDSA private key from known k, and I encountered a problem that I can't google, so I hope someone will help me here.

I have a signature, a Bitcoin address, a message and the k parameter used to create the signature. I wrote a solution that works with my own test cases, but it fails with the challenge in the following way: the public key that gets derived from found private key is not the same as as the public key that corresponds to the Bitcoin address. However, signing the same message with the same k produces the same signature as the challenge signature (aside from special byte appended by Bitcoin).~~I suspected that the problem might be with the R, but R, and tried a few different values, even though it's already supplied by Bitcoin signature format, but still failed to produce the same public key.~~

Update: found the R value that leads to the same public key that I can derive from my found private key. Seems like this was a part of the challenge. Still, want to know the answer to my last question, as I don't know much theory about Ecdsa.

Update 2: after getting a hint, I found the private key by using -s instead of s to calculate the private key. But I don't fully understand how it worked, I see it has something to do with ECDSA malleability, so my second question is - how it all worked?

~~So, my question is - what I could be doing wrong?~~ Can different private keys produce the same signature when k and message are the same?

submitted by Satoshi_Hodler to crypto [link] [comments]

I have a signature, a Bitcoin address, a message and the k parameter used to create the signature. I wrote a solution that works with my own test cases, but it fails with the challenge in the following way: the public key that gets derived from found private key is not the same as as the public key that corresponds to the Bitcoin address. However, signing the same message with the same k produces the same signature as the challenge signature (aside from special byte appended by Bitcoin).

Update: found the R value that leads to the same public key that I can derive from my found private key. Seems like this was a part of the challenge. Still, want to know the answer to my last question, as I don't know much theory about Ecdsa.

Update 2: after getting a hint, I found the private key by using -s instead of s to calculate the private key. But I don't fully understand how it worked, I see it has something to do with ECDSA malleability, so my second question is - how it all worked?

ECDSA to “spend” bitcoin, with the signature (r,s). Elliptic curve cryptography to generate a public key K from a private key k. RIPEMD160 and SHA256 together, together called HASH160, and Base58Check encoding to produce a Bitcoin wallet address from the public key K. •A private key is used to sign Bitcoin transactions with ECDSA •The point P is the public key corresponding to m •A public key is used by other nodes to verify Bitcoin transactions •A Bitcoin address is the hash value of a public key P 11 Elliptic Curve Digital Signature Algorithm or ECDSA is a cryptographic algorithm used by Bitcoin to ensure the effective and secure control of ownership of funds.. A few concepts related to ECDSA: private key: A secret number, known only to the person that generated it.A private key can be a randomly generated number but in 2019 most wallets use deterministic key schemes derived from BIP 0032. ECDSA est l’algorithme de signature électronique à clé publique utilisé par Bitcoin. Il fait appel à la cryptographie sur les courbes elliptiques. La sécurité d’ECDSA repose sur la difficulté de calculer le logarithme discret d’un grand nombre entier. Source : larevolutionblockchain.com En savoir plus : ECDSA, technologie clé de bitcoin par Pierre Noizat Bitcoin (₿) is a cryptocurrency, a form of electronic cash.It is a decentralized digital currency without a central bank or single administrator, though some researchers point at a trend towards centralization.: 215, 219–222: 3 Bitcoins can be sent from user to user on the peer-to-peer bitcoin network directly, without the need for intermediaries, though intermediaries are widely used.

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