Mutually Disjoint 5-Designs and 5-Spontaneous Emission Error Designs from Extremal Ternary Self-Dual Codes


  • Contract grant sponsor: NSFC; contract grant number: 11271042.


It is known that extremal ternary self-dual codes of length math formula 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.