Masaaki Harada, Akihiro Munemasa
Published 2008-09-04, updated 2009-03-06Version 2
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.
Comments: To appear in Designs, Codes and Cryptogr
Journal: Designs, Codes and Cryptogr. 52 (2009), 125-127
On the classification of self-dual [20,10,9] codes over GF(7)
Classification of quaternary Hermitian self-dual codes of length 20
On the classification of self-dual $\mathbb{Z}_k$-codes II
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