2017/09/18 by Máté Matolcsi, Matolcsi, Máté, Mihály Weiner +1
Computer Science · Engineering · Mathematics · #05B10 (Primary) #05B25 (Secondary) #20C15 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.1709.06149
openalex publication_date 2017/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, the authors of the present work (together with M. N. Kolountzakis)\nintroduced a new version of the non-commutative Delsarte scheme and applied it\nto the problem of mutually unbiased bases. Here we use this method to\ninvestigate the existence of a finite projective plane of a given order d. In\nparticular, a short new proof is obtained for the nonexistence of a projective\nplane of order 6. For higher orders like 10 and 12, the method is non decisive\nbut could turn out to give important supplementary informations.\n