Abstract
There are seven binary extremal self-dual doubly-even codes which are known to have a 2-transitive automorphism group. Using representation theoretical methods we show that there are no other such codes, except possibly for length n = 1024. We also classify all extremal ternary self-dual and quaternary Hermitian self-dual codes.
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This is one of several papers published in Designs, Codes and Cryptography comprising the “Special Issue on Coding Theory and Applications”.
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Malevich, A., Willems, W. On the classification of the extremal self-dual codes over small fields with 2-transitive automorphism groups. Des. Codes Cryptogr. 70, 69–76 (2014). https://doi.org/10.1007/s10623-012-9655-9
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DOI: https://doi.org/10.1007/s10623-012-9655-9