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Parameters of the codes over affine varieties

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Publication:1425449
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DOI10.1007/BF02876039zbMath1048.94022MaRDI QIDQ1425449

Xin-Wen Wu

Publication date: 21 March 2004

Published in: Science in China. Series A (Search for Journal in Brave)



Mathematics Subject Classification ID

Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)




Cites Work

  • The weight distribution of irreducible cyclic codes with block lengths \(n_1 ((q^\ell-1)/N)\)
  • A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound
  • Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
  • Generalized Hamming weights for linear codes
  • Weighted Reed-Muller codes and algebraic-geometric codes
  • Generalized Hamming weights of q-ary Reed-Muller codes
  • On the weight hierarchy of geometric Goppa codes
  • Improved geometric Goppa codes. I. Basic theory
  • Unnamed Item


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