A bound for the number of lines lying on a nonsingular surface in 3-space over a finite field

2014/09/23 by Masaaki Homma, Homma, Masaaki, Seon Jeong Kim +1 · 1 citation
Computer Science · Mathematics · #Coding theory and cryptography #Finite Group Theory Research #Limits and Structures in Graph Theory

paper · pdf · doi:10.48550/arxiv.1409.6421

Abstract

A nonsingular surface of degree d ≥ 2 in ℙ³ over \mathbbF_q has at most ((d-1)q+1)d \mathbbF_q-lines, and this bound is optimal for d = 2, √(q)+1, q+1.

Cited by

• Lines, conics, and all that

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