Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/85389
Type: Artigo
Title: A note on some Picard curves over finite fields
Author: Kazemifard, Ahmad
Tafazolian, Saeed
Abstract: In this note we provide a complete classification for the Newton polygon of the Picard curvesy3=x4-xandy3=x4-1 defined over a finite field of characteristic p>3. In fact, we complete the results obtained in [19]. Using these results, we determine all finite fields over which these curves attain the Hasse-Weil upper bound.
In this note we provide a complete classification for the Newton polygon of the Picard curves y3 = x4 − x and y3 = x4 − 1 defined over a finite field of characteristic p > 3. In fact, we complete the results obtained in [19]. Using these results, we deter
Subject: Picard, Curva de
Corpos finitos (Álgebra)
Curva maximal
Newton, Diagramas de
Country: Estados Unidos
Editor: Elsevier
Citation: Finite Fields And Their Applications. Academic Press Inc., v. 34, n. , p. 107 - 122, 2015.
Rights: fechado
fechado
Identifier DOI: 10.1016/j.ffa.2014.12.002
Address: https://www.sciencedirect.com/science/article/pii/S1071579714001452
Date Issue: 2015
Appears in Collections:IMECC - Artigos e Outros Documentos

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