Monogenic Fields of Cryptographic Size

Swechchha Adhikari, Daphne Plott, Parker Torgersen

For a monic irreducible $f\in \mathbb{Z}[x]$ of degree $n$ and an integer $c$, we study the palindromic transform $F(x)=x^{n}f(x+x^{-1}+c)$, which produces a polynomial of de…