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Skew Constacyclic Codes over Finite Fields and Finite Chain Rings

Author

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  • Hai Q. Dinh
  • Bac T. Nguyen
  • Songsak Sriboonchitta

Abstract

This paper overviews the study of skew - -constacyclic codes over finite fields and finite commutative chain rings. The structure of skew - -constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew -cyclic and skew -negacyclic codes over finite chain rings in general and over in particular. Moreover, general decoding procedure for decoding skew BCH codes with designed distance and an algorithm for decoding skew BCH codes are discussed.

Suggested Citation

  • Hai Q. Dinh & Bac T. Nguyen & Songsak Sriboonchitta, 2016. "Skew Constacyclic Codes over Finite Fields and Finite Chain Rings," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-17, January.
    • Handle: RePEc:hin:jnlmpe:3965789
    DOI: 10.1155/2016/3965789
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