Re: pegwit's elliptic curve over GF(2^255)
[Originally posted by ] 2^233 is allowed for use because Smart's attack won't work. That's because 233 is prime. You are right that calling that a "prime field" doesn't make any sense, what I meant was that 233 is prime, so the field is safe from attack. I think GF(p^n) == F_p^n notation. I don't know where the difference comes from, but the F_p^n notation is from the mathematicians. It may be that the GF(p^n) notation is from computer science majors. Another notational difference is that mathematicians write Z/nZ to indicate a modular field of size n, but CS people write it as Z_n. For the mathematicians, it means the Ring of integers divided by an Ideal of all integers multiplied by n. The final object is the same, but the thought process is quite a bit different. BTW, thanks for the comment about finding the book at Amazon, that's good to know it's still available.
