FEW-WEIGHT CODES FROM TRACE CODES OVER Rk

被引：11

作者：

Shi, Minjia ^{[1
,2
]}

Guan, Yue ^{[2
]}

Wang, Chenchen ^{[2
]}

Sole, Patrick ^{[3
]}

机构：

[1] Anhui Univ, Key Lab Intelligent Comp & Signal Proc, Minist Educ, 3 Feixi Rd, Hefei 230039, Anhui, Peoples R China

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

[3] Univ Paris 08, CNRS, LAGA, F-93526 St Denis, France

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2018年 / 98卷 / 01期

基金：

中国国家自然科学基金;

关键词：

few-weights codes; trace codes; Gray may; defining set; 2-WEIGHT;

D O I：

10.1017/S0004972718000291

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct two families of few-weight codes for the Lee weight over the ring Rk based on two di ff erent defining sets. For the first defining set, taking the Gray map, we obtain an infinite family of binary two-weight codes which are in fact 2(k)-fold replicated MacDonald codes. For the second defining set, we obtain two infinite families of few-weight codes. These few-weight codes can be used to implement secret-sharing schemes.

引用

页码：167 / 174

页数：8

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