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The degree of functions and weights in linear codes.

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Publication:5939238
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DOI10.1016/S0166-218X(00)00346-2zbMath1033.94013MaRDI QIDQ5939238

Simonis, Juriaan, Femke Hoogweg, Sugi Guritman

Publication date: 30 March 2004

Published in: Discrete Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

linear codeweight distributiongapsReed-Muller code


Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Linear codes (general theory) (94B05)


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  • Code Tables


Cites Work

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  • The automorphism group of Generalized Reed-Muller codes
  • A gap in GRM code weight distributions
  • On the weight enumeration of weights less than 2.5d of Reed—Muller codes
  • The linear programming bound for binary linear codes
  • Restrictions on the weight distribution of binary linear codes imposed by the structure of Reed-Muller codes
  • Some new results on the minimum length of binary linear codes of dimension nine
  • Some bounds for the minimum length of binary linear codes of dimension nine
  • New generalizations of the Reed-Muller codes--I: Primitive codes
  • Polynomial codes
  • On generalized ReedMuller codes and their relatives
  • Zeroes of Polynomials Over Finite Fields
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