A Short Note on Irreducible Trinomials in Binary Fields
Mathieu Ciet, Jean-Jacques Quisquater, Francesco Sica · 2002
In this paper, we analyse the irreducibility of trinomials defined over F2[X]. For elliptic curve cryptography, prime extensions fields F2p are recommended to avoid current attacks like the Weil descent attack [3]. One often represents F2p as a quotient F2[X]/(f(X)), where f is an irreducible polynomial over F2 of