The Hamming Distances of a Class of p-Ary Negacyclic Codes

被引：0

作者：

DING Jian ^{[1
]}

LI Hongju ^{[1
]}

机构：

[1] Department of General Education, Anhui Xinhua University

来源：

Chinese Journal of Electronics | 2018年 / 27卷 / 01期

关键词：

Negacyclic code; Hamming distance; Gray distance; Gray map;

D O I：

暂无

中图分类号：

O157.4 [编码理论（代数码理论）];

学科分类号：

070104 ;

摘要：

Based on the construction of a new distance-preserving Gray map from(（F;+ uF;）;, Gray distance) to(the corresponding Gray images in F;, Hamming distance) and the calculation of Gray distances of（u-1）-constacyclic codes over F;+ uF;, a bound for the Hamming distances of a class of negacyclic codes with length p N over F;is obtained, which is more tighter than Singleton bound. Further more, the exact Hamming distances of some p-ary negacyclic codes are determined from this bound, some of which cannot be got from Dinh’s work published on Finite Fields and Their Applications in 2008.

引用

页码：46 / 51

页数：6

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