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3

For example, I could use: If the discrete log is already backdoored with the standard base point $G$, then changing the base to another point on the curve doesn't solve this issue. Let you know that $G$ is backdoored and you changed the base to $G' \neq G$. Then the entity that created the backdoor can use this to find the private keys. Let $P = [k]G'$ be a ...

1

Normally, coin tosses are random variables $r$ drawn (usually uniformly unless otherwise specified) from a finite set $R.$ In this case however $R=g^{k^{-1}}$ where $r=H’(R)$ and $H’$ is a hash function from a cyclic group of prime order into $Z_q$ and $k$ is a uniformly distributed random variable from $Z_q.$ So $R$ is a random variable which is a function ...

0

If by "I'm working in a constrained hardware environment" you mean that you are developing a hardware wallet then yes, deterministic signatures matter a lot! With non-deterministic signatures, your hardware wallet might be leaking key material. The only way for users to verify this is not happening is to try your brand wallet with deterministically ...

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