Covering polynomials and projections of self-dual codes

被引：0

作者：

Janusz, Gerald J. ^{[1
]}

机构：

[1] Univ Illinois, Math, Champaign, IL 61820 USA

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2022年 / 90卷 / 10期

关键词：

Binary codes; Self-dual; Designs; Projections;

D O I：

10.1007/s10623-022-01091-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We give two formulas involving covering polynomials and use them to study projections C -> C*v for binary self-dual codes C and vectors v. The dimension of C*v is determined in terms of the weight of v and the number of codewords covered by v. These projections are very useful in the study of self-dual codes. An example is given proving some new properties of a doubly-even self-dual code with parameters [72, 36, 12].

引用

页码：2481 / 2489

页数：9

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