A New Family of Optimal Binary Few-Weight Codes From Simplicial Complexes

被引：22

作者：

Li, Xiaoxiao ^{[1
]}

Shi, Minjia ^{[1
]}

机构：

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

来源：

IEEE COMMUNICATIONS LETTERS | 2021年 / 25卷 / 04期

基金：

中国国家自然科学基金;

关键词：

5G mobile communication; Frequency modulation; Linear codes; Hamming weight; 3G mobile communication; Indexes; Decoding; Trace codes; simplicial complexes; few-weight codes; LINEAR CODES;

D O I：

10.1109/LCOMM.2020.3024907

中图分类号：

TN [电子技术、通信技术];

学科分类号：

0809 ;

摘要：

Trace codes over a cubic ring extension of the binary field are constructed by using a triple of simplicial complexes. A linear Gray map yields several infinite families of binary few-weight codes which can have as many as 9 weights. By equating two complexes in the triple, we obtain binary three-weight codes, which are minimal and distance optimal.

引用

页码：1048 / 1051

页数：4

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