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On trace codes, duality and Galois invariance over finite commutative chain rings, by Edgar Martinez (Eastern Kentucky University and Valladolid University Spain)

  • Colloquium
When May 13, 2013
from 04:20 PM to 05:20 PM
Where Morton 322
Contact Name
Contact Phone 740-593-1258
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Abstract: Codes over finite commutative chain rings have been introduced as a generalization of codes over finite fields. Let S | R be a Galois extension of finite commutative chain rings. If C ⊆ S n is an S-code, it is possible to define, starting from C , two different R-codes:
Res(C ) = C ∩ R^n and Tr( C ), where Tr is the trace function. We will analyze the relationships between these R-codes and the
duality operator.