On the Automorphisms of Order 15 for a Binary Self-Dual [96, 48, 20] Code

Abstract

The structure of binary self-dual codes invariant under the action of a cyclic group of order $pq$ for odd primes $p\ne q$ 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 `"On extremal self-dual codes of length 96", IEEE Trans. Inf. Theory, vol. 57, pp. 6820-6823, 2011'.

Preprint version to appear in Designs, Codes and Cryptography

Cited by in corpus (1)

• On involutions in extremal self-dual codes and the dual distance of semi self-dual codes