A mass formula for self-dual permutation codes

Authors:
Annika GüNther
Affiliations:
Lehrstuhl D für Mathematik, RWTH Aachen University, Templergraben 64, 52064 Aachen, Germany
Venue:
Finite Fields and Their Applications
Year:
2009

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Abstract

For a module V over a finite semisimple algebra A we give the total number of self-dual codes in V. This enables us to obtain a mass formula for self-dual codes in permutation representations of finite groups over finite fields of coprime characteristic.