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Matrix product codes over finite commutative Frobenius rings

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Abstract

Properties of matrix product codes over finite commutative Frobenius rings are investigated. The minimum distance of matrix product codes constructed with several types of matrices is bounded in different ways. The duals of matrix product codes are also explicitly described in terms of matrix product codes.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China

    Yun Fan & Hongwei Liu

  2. Division of Mathematical Sciences, School of Physical & Mathematical Sciences, Nanyang Technological University, Singapore, 637616, Singapore

    San Ling

Authors
  1. Yun Fan
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  2. San Ling
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  3. Hongwei Liu
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Correspondence to Hongwei Liu.

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Communicated by J. D. Key.

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Fan, Y., Ling, S. & Liu, H. Matrix product codes over finite commutative Frobenius rings. Des. Codes Cryptogr. 71, 201–227 (2014). https://doi.org/10.1007/s10623-012-9726-y

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  • DOI: https://doi.org/10.1007/s10623-012-9726-y

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