| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4582991 | Finite Fields and Their Applications | 2013 | 8 Pages |
Abstract
Codes over finite commutative chain rings have been introduced as a generalization of codes over finite fields. Let S|RS|R be a Galois extension of finite commutative chain rings. If C⊆SnC⊆Sn is an S-code, it is possible to define, starting from C, two different R -codes: Res(C)=C∩RnRes(C)=C∩Rn and Tr(C)Tr(C), where Tr is the trace function. In this work we analyze the relationships between these R-codes and the duality operator.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
E. Martínez-Moro, A.P. Nicolás, I.F. Rua,