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Type: Artigo de periódico
Title: On The Curve Y N = X M + X Over Finite Fields
Author: Tafazolian S.
Torres F.
Abstract: We characterize certain maximal curves over finite fields defined by equations of type y n = x m + x. Moreover, we show that a maximal curve over Fq2 defined by the affine equation y n = f(x), where f(x)∈Fq2[x] is separable of degree coprime to n, is such that n is a divisor of q + 1 if and only if f(x) has a root in Fq2. In this case, all the roots of f(x) belong to Fq2; cf. Theorems 1.2 and 4.3 in Garcia and Tafazolian (2008) [9]. © 2014 Elsevier Inc.
Editor: Academic Press Inc.
Rights: fechado
Identifier DOI: 10.1016/j.jnt.2014.05.019
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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