Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jalgebra.2006.12.029
Title: Algebraic curves with many points over the binary field
Authors: Xing, C. 
Yeo, S.L.
Keywords: Algebraic curves
Asymptotic bound
Rational points
Issue Date: 15-May-2007
Source: Xing, C., Yeo, S.L. (2007-05-15). Algebraic curves with many points over the binary field. Journal of Algebra 311 (2) : 775-780. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jalgebra.2006.12.029
Abstract: For an algebraic curve X over the finite field Fq, we denote by N (X) and g (X) the number of Fq-rational points and genus of X, respectively. Define the asymptotic quantity A (q) by lim supg (X) → ∞ N (X) / g (X). In this paper, we show an improvement on the best known lower bound on A (2). © 2007 Elsevier Inc. All rights reserved.
Source Title: Journal of Algebra
URI: http://scholarbank.nus.edu.sg/handle/10635/102800
ISSN: 00218693
DOI: 10.1016/j.jalgebra.2006.12.029
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