摘要
Assmus-Mattson定理保证当n≡4(mod 12)时n长三元极值自对偶码可给出一些3-设计.本文借助计算机搜索具有镶边双循环生成矩阵的三元极值自对偶码,利用这些生成矩阵得到了一些互不相交的3-设计和3-自发生错误设计.
Extremal ternary self-dual codes of length n ≡ 4 （mod 12） hold 3-designs by the Assmus-Mattson theorem. In this paper, we search for generator matrices of bordered double circulant extremal ternary self-dual codes with the aid of computer. Using these generator matrices we obtain many mutually disjoint 3-designs and a list of 3-spontaneous emission error designs.
出处
《数学进展》
CSCD
北大核心
2015年第6期852-864,共13页
Advances in Mathematics（China）
基金
Supported by NSFC(No.11271042,No.11401271)
关键词
自发生错误设计
三元自对偶码
互不相交的t-设计
spontaneous emission error design
ternary self-dual code
mutually disjoint t-design
