Paper 2024/1860

Constructions of self-orthogonal codes and LCD codes from functions over finite fields

Abstract

The construction of self-orthogonal codes from functions over finite fields has been widely studied in the literature. In this paper, we construct new families of self-orthogonal linear codes with few weights from trace functions and weakly regular plateaued functions over the finite fields of odd characteristics. We determine all parameters of the constructed self-orthogonal codes and their dual codes. Moreover, we employ the constructed $p$-ary self-orthogonal codes to construct $p$-ary LCD codes.