Singly-even self-dual codes and Hadamard matrices

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Abstract

A construction of binary self-dual singly-even codes from Hadamard matrices is described. As an application, all inequivalent extremal singly-even [40,20,8] codes derived from Hadamard matrices of order 20 are enumerated.

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Harada, M., & Tonchev, V. D. (1995). Singly-even self-dual codes and Hadamard matrices. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 948, pp. 279–284). Springer Verlag. https://doi.org/10.1007/3-540-60114-7_20

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