Generalized Cyclotomic Double Circulant Self-Dual Codes of Length 4p

被引：0

作者：

Yan, Tongjiang ^{[1
]}

Gao, Wenpeng ^{[1
]}

Sun, Yuhua ^{[1
]}

机构：

[1] China Univ Petr, Coll Sci, Qingdao 266555, Peoples R China

来源：

IEEE COMMUNICATIONS LETTERS | 2020年 / 24卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Generators; Hamming weight; Linear codes; Sun; Indexes; Error correction codes; Germanium; Self-dual code; double circulant code; generalized cyclotomy; SEQUENCES;

D O I：

10.1109/LCOMM.2020.3007426

中图分类号：

TN [电子技术、通信技术];

学科分类号：

0809 ;

摘要：

Constructions of some double circulant self-dual codes on the residue ring Z(2p), where p is a prime and satisfies p equivalent to 3 mod 4, are proposed. Two new structures of these codes are formed from the theory of generalized cyclotomy. Moreover, both [12, 6, 4] and [44, 22, 8] optimal self-dual codes over GF(2) and a family of [28, 14, 9] highest known self-dual codes over GF(4) are given.

引用

页码：2401 / 2405

页数：5

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