Singly-even self-dual codes with minimal shadow

Details Singly-even self-dual codes with minimal shadow Singly-even self-dual codes with minimal shadow

2011-06-29

arxiv.org/abs/1106.5936v2

Mathematics

Combinatorics

Scientific paper

10.1109/TIT.2012.2183114

In this note we investigate extremal singly-even self-dual codes with minimal
shadow. For particular parameters we prove non-existence of such codes. By a
result of Rains \cite{Rains-asymptotic}, the length of extremal singly-even
self-dual codes is bounded. We give explicit bounds in case the shadow is
minimal.

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