Two-Weight Codes and Second Order Recurrences

被引：3

作者：

Shi, Minjia ^{[1
]}

Zhang, Zhongyi ^{[2
]}

Sole, Patrick ^{[3
]}

机构：

[1] Anhui Univ, Key Lab Intelligent Comp & Signal Proc, Minist Educ, Sch Math Sci, Hefei 230601, Peoples R China

[2] Anhui Univ, Sch Wendian, Hefei 230601, Peoples R China

[3] Aix Marseille Univ, Cent Marseile, CNRS, I2M, Marseille, France

来源：

CHINESE JOURNAL OF ELECTRONICS | 2019年 / 28卷 / 06期

基金：

中国国家自然科学基金;

关键词：

cyclic codes; polynomials; nonzero weight distribution; second order recurrences; two-weight codes; maximum distance separable code; Two-weight codes; Irreducible Cyclic codes; MDS codes; Linear recurrences;

D O I：

10.1049/cje.2019.07.001

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Cyclic codes of dimension 2 over a finite field are shown to have at most two nonzero weights. We compute their weight distribution, and give a condition on the roots of their check polynomials for them to be maximum distance separable code.

引用

页码：1127 / 1130

页数：4

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