hi, im currently working on enhancing on Nonce Recurrence Attack. Read: https://eprint.iacr.org/2023/305.pdf

While i was able to recreate the attack describe in the paper, im thinking of enhancing this method. however, the enhance method would require me to generate some fake signatures that still points to the same public key. i vaguely remember that there was a discussion in some topic and someone mention that we could recreate fake signatures that could still be verified against the targeted public key but it wont be valid. or something to that effect.

Do you get what i am saying? i might not be explaining this correctly. but if you do, what is the formula to do that? i have forgotten the formula.