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Mutually Disjoint 5‐Designs and 5‐Spontaneous Emission Error Designs from Extremal Ternary Self‐Dual Codes
Author(s) -
Fang Jianying,
Chang Yanxun
Publication year - 2015
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21391
Subject(s) - ternary operation , disjoint sets , circulant matrix , mathematics , generator matrix , dual (grammatical number) , combinatorics , generator (circuit theory) , discrete mathematics , arithmetic , algorithm , computer science , power (physics) , decoding methods , physics , art , literature , quantum mechanics , programming language
It is known that extremal ternary self‐dual codes of length n ≡ 0 ( mod 12) yield 5‐designs. Previously, mutually disjoint 5‐designs were constructed by using single known generator matrix of bordered double circulant ternary self‐dual codes (see [1, 2]). In this paper, a number of generator matrices of bordered double circulant extremal ternary self‐dual codes are searched with the aid of computer. Using these codes we give many mutually disjoint 5‐designs. As a consequence, a list of 5‐spontaneous emission error designs are obtained.