An upper bound of the value of of the support -designs of extremal binary doubly even self-dual codes

被引：0

作者：

Miezaki, Tsuyoshi ^{[1
]}

Nakasora, Hiroyuki ^{[2
]}

机构：

[1] Yamagata Univ, Fac Educ Art & Sci, Yamagata 9908560, Japan

[2] Okayama Univ, Grad Sch Nat Sci & Technol, Okayama 7008530, Japan

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2016年 / 79卷 / 01期

关键词：

Self-dual codes; t-Designs; Assmus-Mattson theorem; Harmonic weight enumerators; MODULAR-FORMS; T-DESIGNS; POLYNOMIALS; LATTICES;

D O I：

10.1007/s10623-014-0033-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let be an extremal binary doubly even self-dual code of length and be the support design of for a weight . We introduce the two numbers and : is the largest integer such that, for all wight, is a -design; denotes the largest integer such that there exists a such that is a -design. In this paper, we consider the possible values of and .

引用

页码：37 / 46

页数：10

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