Emergent Mind
New extremal singly even self-dual codes of lengths $64$ and $66$
(1708.05950)
Published Aug 20, 2017
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math.CO
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cs.IT
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math.IT
Abstract
For lengths $64$ and $66$, we construct extremal singly even self-dual codes with weight enumerators for which no extremal singly even self-dual codes were previously known to exist. We also construct new $40$ inequivalent extremal doubly even self-dual $[64,32,12]$ codes with covering radius $12$ meeting the Delsarte bound.
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