Sequences of irreducible polynomials over odd prime fields via elliptic curve endomorphisms

TextIn this paper we present and analyze a construction of irreducible polynomials over odd prime fields via the transforms which take any polynomial f∈Fp[x]f∈Fp[x] of positive degree n   to (xk)n⋅f(k(x+x−1)), for some specific values of the odd prime p   and k∈Fpk∈Fp.VideoFor a video summary of this paper, please visit http://youtu.be/Lmw5m_c-i8s.