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-3 votes

can we modify the prime field by increasing it in secp256k1?

yes its possible, example take prime p=23 parameter of curve x=x^3+ax+b where a=1 b=4 base point (0,2) field of curve is 29. extand curve with p=529 (23x23) , same parameter, you got curve with field ...
knuckballs's user avatar
1 vote

What’s the fastest known Koblitz curve addition law for FPGA that maximizes the per-LUT throughput?

The question is for curve seckp256k1. That's the elliptic curve of Weierstrass equation $y^2=x^3+a\cdot x+b$ in the finite field $\mathbb F_p$ with $p=2^{256}-\epsilon$, $\epsilon=2^{32}+977$, $a=0$, $...
fgrieu's user avatar
  • 142k
1 vote
Accepted

Is it safe to reuse the same scalar when doing direct scalar multiplication on Koblitz curves?

In the question's context, it's safe to reuse the same scalar when doing direct scalar multiplication on Koblitz (or other elliptic) curves. More precisely: irrespective of how many $(\mathsf{seed},\...
fgrieu's user avatar
  • 142k
1 vote

Is it safe to reuse the same scalar when doing direct scalar multiplication on Koblitz curves?

There are multiple ways in which question can be dealt but I will choose to explain what scalar multiplication is because it will be more natural . Short Answer: No Explanation: In pure terms of ...
madhurkant's user avatar

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