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On theorems of Delsarte-McEliece and Chevalley-Warning-Ax-Katz

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Publication:690673
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DOI10.1007/s10623-012-9645-yzbMath1272.94091OpenAlexW2045002414MaRDI QIDQ690673

Daniel J. Katz

Publication date: 28 November 2012

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-012-9645-y


zbMATH Keywords

cyclic codesabelian codesalgebraic setsAx-KatzDelsarte-McEliece


Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Polynomials over finite fields (11T06) Cyclic codes (94B15)




Cites Work

  • Unnamed Item
  • A lemma on polynomials modulo \(p^m\) and applications to coding theory
  • A divisibility property for Stirling numbers
  • On periodic sequences from \(GF(q)\)
  • Weight congruence for p-ary cyclic codes
  • <tex>$p$</tex>-Adic Valuation of Weights in Abelian Codes Over<tex>$BBZ_p^d$</tex>
  • Zeros of Functions in Finite Abelian Group Algebras
  • New generalizations of the Reed-Muller codes--I: Primitive codes
  • Weights of cyclic codes
  • On a Theorem of Ax
  • Zeroes of Polynomials Over Finite Fields
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