Could someone please explain, in simple and easy terms, how the creators did (or should have) derived the
N, order of
G for SECP256k1?
Its my understanding its derived from
p = FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE FFFFFC2F
p = 115792089237316195423570985008687907853269984665640564039457584007908834671663
and that the value itself, of
N = FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE BAAEDCE6 AF48A03B BFD25E8C D0364141
N = 115792089237316195423570985008687907852837564279074904382605163141518161494337
I understand that
(N-1) is the total number of valid points on the curve, but how was that determined without going through and trying to count them?
I have seen similar questions, but the answers are either using terminologies I don't understand and or don't contain a "simple" and "easy" explanation.