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New extremal singly even self-dual codes of lengths $64$ and $66$ (1708.05950v1)
Published 20 Aug 2017 in math.CO, cs.IT, and 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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