A new class of irreducible pentanomials for polynomial based multipliers in binary fields

Gustavo Banegas, Ricardo Custodio, Daniel Panario

We introduce a new class of irreducible pentanomials over ${\mathbb{F}}_2$ of the form $f(x)=x^{2b+c}+x^{b+c}+x^b+x^c+1$. Let $m=2b+c$ and use $f$ to define the finite fiel…