Algebraic curves with many points over the binary field

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
Citation:	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
Appears in Collections:	Staff Publications

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