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arXiv · 0809.0733

There exists no self-dual [24,12,10] code over F5

Masaaki Harada·Akihiro Munemasa
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Abstract

Self-dual codes over F5 exist for all even lengths. The smallest length for which the largest minimum weight among self-dual codes has not been determined is 24, and the largest minimum weight is either 9 or 10. In this note, we show that there exists no self-dual [24,12,10] code over F5, using the classification of 24-dimensional odd unimodular lattices due to Borcherds.

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Masaaki Harada, Akihiro Munemasa. 2009-03-06. There exists no self-dual [24,12,10] code over F5. https://arxiv.org/abs/0809.0733

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