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 `"On extremal self-dual codes of length 96", IEEE Trans. Inf. Theory, vol. 57, pp. 6820-6823, 2011'.
Cite
@article{arxiv.1403.4735,
title = {On the Automorphisms of Order 15 for a Binary Self-Dual [96, 48, 20] Code},
author = {Stefka Bouyuklieva and Wolfgang Willems and Nikolay Yankov},
journal= {arXiv preprint arXiv:1403.4735},
year = {2016}
}
Comments
Preprint version to appear in Designs, Codes and Cryptography