Generalized Hamming weights of toric codes over hypersimplices and square-free affine evaluation codes

Nupur Patanker, Sanjay Kumar Singh

Let ${\mathbb{F}}_q$ be a finite field with $q$ elements, where $q$ is a power of prime $p$. A polynomial over ${\mathbb{F}}_q$ is square-free if all its monomials are square-free.…