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Order functions and evaluation codes

  • Tom Høholdt
  • Jacobus H. van Lint
  • Ruud Pellikaan
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1255)

Abstract

Based on the notion of an order function we construct and determine the parameters of a class of error-correcting evaluation codes. This class includes the one-point algebraic geometry codes as well as the generalized Reed-Muller codes, and the parameters are determined without using heavy machinery from algebraic geometry.

Keywords

Weight Function Nonzero Element Evaluation Code Lexicographic Order Order Function 
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

  • Tom Høholdt
    • 1
  • Jacobus H. van Lint
    • 1
  • Ruud Pellikaan
    • 2
  1. 1.Dept. of MathematicsTechnical University of DenmarkLyngbyDenmark
  2. 2.Dept. of Mathematics and Computing ScienceEindhoven University of TechnologyMB EindhovenThe Netherlands

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