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On the Automorphisms of Order 15 for a Binary Self-Dual [96, 48, 20] Code (1403.4735v3)
Published 19 Mar 2014 in cs.IT and math.IT
Abstract: The structure of binary self-dual codes invariant under the action of a cyclic group of order $pq$ for odd primes $p\neq q$ 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'.
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