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Extension theorems for linear codes over finite rings

  • Jay A. Wood
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1255)

Abstract

Various forms of the extension problem are discussed for linear codes defined over finite rings. The extension theorem for symmetrized weight compositions over finite Frobenius rings is proved. As a consequence, an extension theorem for weight functions over certain finite commutative rings is also proved. The proofs make use of the linear independence of characters as well as the linear independence of characters averaged over the orbits of a group action.

Keywords

Weight Function Linear Code Linear Independence Extension Theorem Extension Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Jay A. Wood
    • 1
  1. 1.Department of Mathematics, Computer Science & StatisticsPurdue University CalumetHammondUSA

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