A Search for Spreads of Hermitian Unitals

2017/02/04 by Jeremy M. Dover, Dover, Jeremy M.
Computer Science · Mathematics · #05B25 #Analytic Number Theory Research #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #math.CO #msc:05B25

paper · pdf · doi:10.48550/arxiv.1702.01297

arxiv created 2017/02/04 · openalex publication_date 2017/02/04 · arxiv updated 2017/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A spread of a Hermitian unital in PG(2,q²) is a set of q²+q+1 pairwise disjoint blocks that partition the points of the unital. In this paper, we discuss the results of an exhaustive computer search for spreads of Hermitian unitals of small orders, namely the Hermitian unitals in PG(2,16), PG(2,25) and PG(2,49).

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