On the classification of the extremal self-dual codes over small fields with 2-transitive automorphism groups

نویسندگان

  • Anton Malevich
  • Wolfgang Willems
چکیده

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 n = 1 024. We also classify all extremal ternary self-dual and quaternary Hermitian self-dual codes.

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عنوان ژورنال:
  • Des. Codes Cryptography

دوره 70  شماره 

صفحات  -

تاریخ انتشار 2014