The second largest number of points of plane curves over finite fields

2015/09/08 by Masaaki Homma, Homma, Masaaki, Seon Jeong Kim +1
Computer Science · Mathematics · #11G20 #13F20 #14G15 #14N05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1509.02247

openalex publication_date 2015/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A basis of the ideal of the complement of a linear subspace in a projective space over a finite field is given. As an application, the second largest number of points of plane curves of degree d over the finite field of q elements is also given for d≥ q+1.

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