On the Scaled Inverse of $(x^i-x^j)$ modulo Cyclotomic Polynomial of the form ${\Phi }_{p^s}(x)$ or ${\Phi }_{p^s{q}^t}(x)$

Jung Hee Cheon, Dongwoo Kim, Duhyeong Kim +1

The scaled inverse of a nonzero element $a(x)\in \mathbb{Z}[x]/f(x)$, where $f(x)$ is an irreducible polynomial over $\mathbb{Z}$, is the element $b(x)\in \mathbb{Z}[x]/f(x)$ such…