New classes of few-weight ternary codes from simplicial complexes
Yang Pan, Yan Liu · AIMS Mathematics · 2021
In this article, we describe two classes of few-weight ternary codes, compute their minimum weight and weight distribution from mathematical objects called simplicial complexes. One class of codes described here has the same parameters with the binary first-order Reed-Muller codes. A class of (optimal) minimal linear codes is also obtained in this correspondence.