Mutually Disjoint 5‐Designs and 5‐Spontaneous Emission Error Designs from Extremal Ternary Self‐Dual Codes
Jianying Fang, Yanxun Chang · Journal of Combinatorial Designs · 2014
It is known that extremal ternary self‐dual codes of length 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.