# Questions tagged [secp256k1]

This tag should be used for anything related to the secp256k1 algorithm used for Bitcoin's public key cryptography.

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### x , y coordination division

python code def inverse(x, p): return pow(x,p-2,p) p = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f #private key 2 -->(x , y) value xx = ...
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### order of group of points of secp256k1

points on curve secp256k1 form a group E(Fp) over field Fp. p = 2^256 - 2^32 - 2^9 - 2^8 - 2^7 - 2^6 - 2^4 - 1 is prime. n is the order of group E, n=...
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### How do you derive the lambda and beta values for endomorphism on the secp256k1 curve?

You can see a little background about this on this bitcointalk post by the late Hal Finney. Beta and lambda are the values on the secp256k1 curve where: λ^3 (mod N) = 1 β^3 (mod P) = 1 As seen ...
232 views

### What sort of tasks can an ASIC be developed to do?

I know requiring a lot of memory is one thing that makes an algorithm ASIC resist. Are there any others? Could an ASIC be developed to do Elliptic Curve Crypto? Like adding two points, or signing a ...
472 views

### What are the weakest cryptographic guarantees in Bitcoin?

I read in this Github pull that Bitcoin relies on weaker cryptographic guarantees than SHA256. What are the weaker cryptographic guarantees being referred to? Could it be that RipeMD is 160 bits? ......
37k views

### What does the curve used in Bitcoin, secp256k1, look like?

I'm reading up on ECC curves and on many of them I see an illustration that looks like this What does the comparable curve in Bitcoin look like, or are all curves generally the same?
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### Does the 256-bit integer secret exponent define the X, Y pair?

I'm trying to understand better how bitcoin works and I'm stuck. I've read a blog showing how to construct the WIF from the 256-bit secret integer and up to that point, I think I follow. However I'm "...
274 views

### Can secp256k1 be implemented efficiently on a 8-bit processor and very limited RAM?

We are trying to build a much simpler version of Trezor. We do have an finished PCB design from a previous project and would like to know whether this design can be modified, without changing the ...