There exists no self-dual 24,12,10 code over F5 - Mathematics > CombinatoricsReport as inadecuate




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Abstract: Self-dual codes over F5 exist for all even lengths. The smallest length forwhich the largest minimum weight among self-dual codes has not been determinedis 24, and the largest minimum weight is either 9 or 10. In this note, we showthat there exists no self-dual 24,12,10 code over F5, using theclassification of 24-dimensional odd unimodular lattices due to Borcherds.



Author: Masaaki Harada, Akihiro Munemasa

Source: https://arxiv.org/







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