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

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

2011-11-11

arxiv.org/abs/1111.2637v2

Mathematics

Combinatorics

30 pages

Scientific paper

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.

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