Self-dual codes over 𝔽_5 and s-extremal unimodular lattices

08/07/2022

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by   Masaaki Harada, et al.

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New s-extremal extremal unimodular lattices in dimensions 38, 40, 42 and 44 are constructed from self-dual codes over 𝔽_5 by Construction A. In the process of constructing these codes, we obtain a self-dual [44,22,14] code over 𝔽_5. In addition, the code implies a [43,22,13] code over 𝔽_5. These codes have larger minimum weights than the previously known [44,22] codes and [43,22] codes, respectively.