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Self-dual codes over $\mathbb{F}_5$ and $s$-extremal unimodular lattices - MaRDI portal

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Self-dual codes over $\mathbb{F}_5$ and $s$-extremal unimodular lattices

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Publication:6407168

DOI10.1016/J.DISC.2022.113126arXiv2208.03617WikidataQ113877004 ScholiaQ113877004MaRDI QIDQ6407168

Author name not available (Why is that?)

Publication date: 6 August 2022

Abstract: New s-extremal extremal unimodular lattices in dimensions 38, 40, 42 and 44 are constructed from self-dual codes over mathbbF5 by Construction A. In the process of constructing these codes, we obtain a self-dual [44,22,14] code over mathbbF5. In addition, the code implies a [43,22,13] code over mathbbF5. These codes have larger minimum weights than the previously known [44,22] codes and [43,22] codes, respectively.





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