论文标题

所有半差异循环代码的B-符号重量分布

The b-symbol weight distributions of all semiprimitive irreducible cyclic codes

论文作者

Vega, Gerardo

论文摘要

Zhu等人最近获得了一种新的不变$μ(b)$,这是一种特定两种不可减至的循环代码的完整$ b $ -Symbol重量分布。 [des。代码Cryptogr。,90(2022)1113-1125]。本文的目的是简化和推广朱等人的结果,并获得所有一重和两次重量半差异不可约性环状代码的$ b $符合权重分布。

Up to a new invariant $μ(b)$, the complete $b$-symbol weight distribution of a particular kind of two-weight irreducible cyclic codes, was recently obtained by Zhu et al. [Des. Codes Cryptogr., 90 (2022) 1113-1125]. The purpose of this paper is to simplify and generalize the results of Zhu et al., and obtain the $b$-symbol weight distributions of all one-weight and two-weight semiprimitive irreducible cyclic codes.

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