A field is an ordered triple $(F, +,\cdot)$ of a set $F$ and binary operations $+,\times$ on $F$ such that $(F,+)$ and $(F\backslash 0,\times)$ are abelian groups satisfying the distributive laws ...
I'm implementing arithmetics for elliptic curves over secp256r1 as a homework assignment. For scalar multiplication, the assignment specifically specifies that $k$ is "any hexidecimal encoded ...
In a cryptography book I read that people does not known how to compute the number of points on a Jacobian of a hyperelliptic curve $C$ over a finite field $F_q$? Is this true? It seems easy to ...