2022/10/21 by Charles J. Colbourn, Colin Ingalls, Colbourn, Charles J. +9 · 1 citation
Engineering · #05B25 (Primary) 05B15 #05B40 (Secondary) #51E15 #51E21 #Advanced Antenna and Metasurface Technologies #Antenna Design and Optimization #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2210.11961
openalex publication_date 2022/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A pair of planes, both projective or both affine, of the same order and on the same pointset are orthogoval if each line of one plane intersects each line of the other plane in at most two points. In this paper we prove new constructions for sets of mutually orthogoval planes, both projective and affine, and review known results that are equivalent to sets of more than two mutually orthogoval planes. We also discuss the connection between sets of mutually orthogoval planes and covering arrays.