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A Propagation Rule for Linear Codes

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

We establish a general theorem which, given an arbitrary linear code, generates a family of linear codes of larger lengths and higher dimensions. The proof is based on a representation of the given linear code as a (generalized) algebraic-geometry code. Examples yielding many optimal linear codes document the power of this theorem.

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Authors and Affiliations

  1. Institute of Discrete Mathematics, Austrian Academy of Sciences, Sonnenfelsgasse 19, A-1010 Vienna, Austria (e-mail: niederreiter@oeaw.ac.at), , , , , , AT

    Harald Niederreiter

  2. Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543 (e-mail: xingcp@math.nus.edu.sg), , , , , , SG

    Chaoping Xing

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  1. Harald Niederreiter
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  2. Chaoping Xing
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Received: July 5, 1999

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Niederreiter, H., Xing, C. A Propagation Rule for Linear Codes. AAECC 10, 425–432 (2000). https://doi.org/10.1007/s002009900017

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  • DOI: https://doi.org/10.1007/s002009900017

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