A characterization for an almost MDS code to be a near MDS code and a proof of the Geng-Yang-Zhang-Zhou conjecture

Shiyuan Qiang, Huakai Wei, Shaofang Hong

Let ${\mathbb{F}}_q$ be the finite field of $q$ elements, where $q=p^m$ with $p$ being a prime number and $m$ being a positive integer. Let ${\mathcal{C}}_{(q,n,\hat{I}´,h)}$ be a class…