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Complete arcs and complete caps from cubics with an isolated double point

2013/05/15 by Nurdagül Anbar, Nurdagul Anbar, Anbar, Nurdagul +6
Computer Science · Mathematics · #51E20 #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Polynomial and algebraic computation #math.CO #msc:51E20

paper · pdf · doi:10.48550/arxiv.1305.3420

arXiv admin note: substantial text overlap with arXiv:1305.3019

arxiv created 2013/05/15 · openalex publication_date 2013/05/15 · arxiv updated 2013/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Small complete arcs and caps in Galois spaces over finite fields \fq with characteristic greater than 3 are constructed from cubic curves with an isolated double point. For m a divisor of q+1, complete plane arcs of size approximately q/m are obtained, provided that (m,6)=1 and m

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