The structure of binary self-dual codes invariant under the action of a cyclic group of order pq for odd primes p ̸= q is considered. As an application we prove the nonexistence of an extremal self-dual [96, 48, 20] code with an automorphism of order 15 which closes a gap in [2].
Stefka Bouyuklieva, Wolfgang Willems, Nikolay Yank