Equivalence and Duality of Polycyclic Codes Associated with Trinomials over Finite Fields
Information Theory
2022-05-03 v3 math.IT
Abstract
In this paper, several conjectures proposed in [2] are studied, involving the equivalence and duality of polycyclic codes associated with trinomials. According to the results, we give methods to construct isodual and self-dual polycyclic codes, and study the self-orthogonal and dual-containing polycyclic codes over F2.
Keywords
Cite
@article{arxiv.2204.12433,
title = {Equivalence and Duality of Polycyclic Codes Associated with Trinomials over Finite Fields},
author = {Minjia Shi and Haodong Lu and Shuang Zhou and Jiarui Xu and Yuhang Zhu},
journal= {arXiv preprint arXiv:2204.12433},
year = {2022}
}