论文标题

与有限场上的三项元素相关的多环形代码的等效性和二元性

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

论文作者

Shi, Minjia, Lu, Haodong, Zhou, Shuang, Xu, Jiarui, Zhu, Yuhang

论文摘要

在本文中,研究了[2]中提出的几种猜想,涉及与三项元素相关的多环码的等效性和二元性。根据结果​​,我们提供了构建iSodual和自偶偶联代码的方法,并研究了F2上的自动式和双重符合的多环形代码。

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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