Artin-Schreier curves and codes
type: Item
instance of: scholarly article
title: Artin-Schreier curves and codes
zbMATH Open document ID: 0729.11066
DOI: 10.1016/0021-8693(91)90293-H
author: Gerard van der Geer
author: Marcel van der Vlugt
published in: Journal of Algebra
publication date: 1991-01-01T00:00:00Z
review text: The weight distributions of the ternary Melas codes and related codes and of ternary Zetterberg codes are obtained by describing them as algebraic geometry codes and studying the corresponding curves. The used methods are as in [\textit{R. Schoof} and the second author, J. Comb. Theory, Ser. A 57, No. 2, 163--186 (1991; Zbl 0729.11065)].
Mathematics Subject Classification ID: 94B27
Mathematics Subject Classification ID: 11T71
Mathematics Subject Classification ID: 14G50
zbMATH DE Number: 4204484
zbMATH Keywords: Artin-Schreier curves
zbMATH Keywords: elliptic curves
zbMATH Keywords: weight distributions
zbMATH Keywords: ternary Melas codes
zbMATH Keywords: ternary Zetterberg codes
reviewed by: L. M. G. M. Tolhuizen
MaRDI profile type: Publication
cites work: Q3794074
cites work: Q4146667
cites work: A duality theorem for the weight distribution of some cyclic codes
cites work: Nonsingular plane cubic curves over finite fields
cites work: Hecke operators and the weight distributions of certain codes
cites work: Abelian varieties over finite fields
full work available at URL: 0021-8693(91)90293-h
OpenAlex ID: W2071417614
description: scientific article; zbMATH DE number 4204484