FPGAs are an attractive platform for elliptic curve cryptography hardware. Since field multiplication is the most critical operation in elliptic curve cryptography, we have studi...
In this paper, a fast hardware architecture for elliptic curve cryptography computation in Galois Field GF(p) is proposed. The architecture is implemented for 160-bits, as its dat...
Elliptic curve cryptosystems are usually implemented over fields of characteristic two or over (large) prime fields. For large prime fields, projective coordinates are more suitabl...
We present an innovative technique to add elliptic curve points with the form P Q± , and discuss its application to the generation of precomputed tables for the scalar multiplicat...
Let E be an elliptic curve defined over F2n . The inverse operation of point doubling, called point halving, can be done up to three times as fast as doubling. Some authors have t...
Roberto Maria Avanzi, Mathieu Ciet, Francesco Sica