A CLASS OF SUBFIELD CODES AND THEIR DUALS

被引：0
作者：
Huang, Junsong [1 ]
Yan, Tongjiang [1 ]
机构：
[1] China Univ Petr East China, Coll Sci, Qingdao 266580, Shandong, Peoples R China
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2025年 / 19卷 / 05期
关键词：
Subfield codes; weight distribution; dual codes; almost optimal code; BINARY LINEAR CODES; CYCLIC CODES;
D O I：
10.3934/amc.2025005
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
. Recently, Xiang and Yin studied two families of subfield codes of linear codes over F2m , and determined the weight distribution of the linear C(2) = {((Trq/2 (ax2 + by2 + wy) + c) } where q = 2m. Motivated by this paper and other former contributions, we study the subfield codes of linear codes over Fpm and obtain the weight distribution of {( ) 1J1 C(p) = Trpm/p(axpk+1 + bx + uy) + w x,y is an element of Fpm : a, b, u is an element of Fpm , w is an element of Fp , which is a self-orthogonal p-divisible linear code. We also investigate the dual codes of C(p), whose parameters are obtained by the weight distribution of C(p), and they are almost optimal codes.
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收藏
页码：1488 / 1498
页数：11
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