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Extremal Type II $\mathbb{Z}_4$-codes constructed from binary doubly even self-dual codes of length $40$
Published 10 Jun 2017 in math.CO, cs.IT, and math.IT | (1706.03218v1)
Abstract: In this note, we demonstrate that every binary doubly even self-dual code of length $40$ can be realized as the residue code of some extremal Type II $\mathbb{Z}_4$-code. As a consequence, it is shown that there are at least $94356$ inequivalent extremal Type II $\mathbb{Z}_4$-codes of length $40$.
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