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Paper detail

Some Extremal Self-Dual Codes and Unimodular Lattices in Dimension 40

In this paper, binary extremal singly even self-dual codes of length 40 and extremal odd unimodular lattices in dimension 40 are studied. We give a classification of extremal singly even self-dual codes of length 40. We also give a classification of extremal odd unimodular lattices in dimension 40 with shadows having 80 vectors of norm 2 through their relationships with extremal doubly even self-dual codes of length 40.

preprint2012arXivOpen access
Stefka BouyuklievaIliya BouyuklievMasaaki Harada
math.COmath.ITInformation Theorymath.NT
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Stefka BouyuklievaIliya BouyuklievMasaaki Harada

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