2022/11/02 by Federico Romaniello, Valentino Smaldore, Romaniello, Federico +1 · 1 citation
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2211.01057
openalex publication_date 2022/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let Q+(2n-1,2) be a non-degenerate hyperbolic quadric of PG(2n-1,2). Let NO+(2n,2) be the tangent graph, whose vertices are the points of PG(2n-1,2) ∖ Q+(2n-1,2) and two vertices u,~v are adjacent if the line joining u and v is tangent to Q+(2n-1,2). Then NO+(2n-1,q) is a strongly regular graph. Let V42 be the Veronese surface in PG(5,q), and M34 its secant variety. When q=2, |Q+(5,2)|=|M34|=35. In this paper we define the graph NM34, with 28 vertices in PG(5,2)\setminusM34 and with the analogue incidence rule of the tangent graph. Such graph is isomorphic to NO+(6,2).