Weight distributions for a certain class of codes and maximal curves

DOI10.1016/0012-365X(92)90548-TzbMath0755.94009OpenAlexW2009961316MaRDI QIDQ1199604

Gerard van der Geer, Marcel van der Vlugt

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1016/0012-365x(92)90548-t

zbMATH Keywords

trace codesrational pointsalgebraic curvesweight distributionsHasse-Weil upper boundsecond-order Reed-Muller codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items

A BOUND ON THE NUMBER OF RATIONAL POINTS OF CERTAIN ARTIN-SCHREIER FAMILIES, A new family of maximal curves over a finite field, Fibre products of Artin-Schreier curves and generalized Hamming weights of codes, Artin-Schreier curves and weights of two-dimensional cyclic codes

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