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Function-field codes

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Abstract

Function-field codes provide a general perspective on the construction of algebraic-geometry codes. We briefly review the theory of function-field codes and establish some new results in this theory, including a propagation rule. We show how to derive linear codes from function-field codes, thus generalizing a construction of linear codes due to Xing, Niederreiter, and Lam.

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Author information

Authors and Affiliations

  1. Institut für Mathematik, Universität Augsburg, 86135, Augsburg, Germany

    Dirk Hachenberger

  2. Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore, 117543, Singapore

    Harald Niederreiter & Chaoping Xing

Authors
  1. Dirk Hachenberger
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  2. Harald Niederreiter
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  3. Chaoping Xing
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Corresponding author

Correspondence to Dirk Hachenberger.

Additional information

The research of the second and third author was partially supported by the DSTA research grant R-394-000-025-422 with Temasek Laboratories in Singapore.

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Hachenberger, D., Niederreiter, H. & Xing, C. Function-field codes. AAECC 19, 201–211 (2008). https://doi.org/10.1007/s00200-008-0071-3

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  • DOI: https://doi.org/10.1007/s00200-008-0071-3

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