Generalized cyclotomic codes of length p1e1•••ptet

被引：42
作者：
Ding, CS
Helleseth, T
机构：
[1] Natl Univ Singapore, Sch Comp, Dept Comp Sci, Singapore 119260, Singapore
[2] Univ Bergen, Dept Informat, N-5020 Bergen, Norway
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 1999年 / 45卷 / 02期
关键词：
cyclotomy; error-correcting codes; linear codes;
D O I：
10.1109/18.748996
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we first introduce a generalized cyclotomy of order 2 with respect to p(1)(e1) ... p(t)(et), then we present two classes of new error-correcting binary cyclic codes of length p(1)(e1) ... p(t)(et) based on this generalized cyclotomy. We prove either a square-root bound or a similar bound on the minimum odd weight of those codes with length n = p(1)(e1) p(2)(e2).
引用
收藏
页码：467 / 474
页数：8
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