On an Assmus–Mattson type theorem for type I and even formally self-dual codes
IF 0.5
4区 数学
Q3 MATHEMATICS
引用次数: 7
Abstract
In the present paper, we give an Assmus–Mattson type theorem for near-extremal Type I and even formally self-dual codes. We show the existence of 1-designs or 2-designs for these codes. As a corollary, we prove the uniqueness of a self-orthogonal 2- design.
关于I型甚至形式自对偶码的Assmus–Mattson型定理
本文给出了近极值I型甚至形式自对偶码的一个Assmus–Mattson型定理。我们证明了这些代码的1-设计或2-设计的存在性。作为推论，我们证明了自正交2-（16，6，8）的唯一性$（16,6,8）$设计。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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来源期刊
CiteScore
1.60
自引率
14.30%
发文量
55
审稿时长
>12 weeks
期刊介绍：
The Journal of Combinatorial Designs is an international journal devoted to the timely publication of the most influential papers in the area of combinatorial design theory. All topics in design theory, and in which design theory has important applications, are covered, including:
block designs, t-designs, pairwise balanced designs and group divisible designs
Latin squares, quasigroups, and related algebras
computational methods in design theory
construction methods
applications in computer science, experimental design theory, and coding theory
graph decompositions, factorizations, and design-theoretic techniques in graph theory and extremal combinatorics
finite geometry and its relation with design theory.
algebraic aspects of design theory.
Researchers and scientists can depend on the Journal of Combinatorial Designs for the most recent developments in this rapidly growing field, and to provide a forum for both theoretical research and applications. All papers appearing in the Journal of Combinatorial Designs are carefully peer refereed.
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