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Some Extremal Self-Dual Codes and Unimodular Lattices in Dimension 40 (1111.2637v2)
Published 11 Nov 2011 in math.CO, cs.IT, math.IT, and math.NT
Abstract: 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.