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On the Structure of Linear and Cyclic Codes over a Finite Chain Ring

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

We generalise structure theorems of Calderbank and Sloane for linear and cyclic codes over ℤ pa to a finite chain ring. Our results are more detailed and do not use non-trivial results from Commutative Algebra.

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Author information

Authors and Affiliations

  1. Algebraic Coding Research Group, Centre for Communications Research, University of Bristol, Bristol BS8 1UB, UK (e-mail: Graham.Norton@bristol.ac.uk), , , , , , GB

    Graham H. Norton

  2. Department of Mathematics, Nottingham Trent University, Nottingham NG11 8NS, UK (e-mail: Ana.Salagean@ntu.ac.uk), , , , , , GB

    Ana Sălăgean

Authors
  1. Graham H. Norton
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  2. Ana Sălăgean
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Received: January 25, 1999; revised version: November 17, 1999

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Norton, G., Sălăgean, A. On the Structure of Linear and Cyclic Codes over a Finite Chain Ring. AAECC 10, 489–506 (2000). https://doi.org/10.1007/PL00012382

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  • DOI: https://doi.org/10.1007/PL00012382