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Equivalence and Duality of Polycyclic Codes Associated with Trinomials over Finite Fields

2022/04/06 by Shi, Minjia, Lu, Haodong, Zhou, Shuang +2
#05E30 #94B05 #FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.2204.12433

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.

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