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Unitals in the code of the Hughes plane
Author(s) -
Baker R. D.,
Wantz K. L.
Publication year - 2003
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.10065
Subject(s) - unital , mathematics , invariant (physics) , plane (geometry) , code (set theory) , discrete mathematics , characterization (materials science) , coding (social sciences) , combinatorics , pure mathematics , algebra over a field , statistics , geometry , computer science , mathematical physics , materials science , set (abstract data type) , programming language , nanotechnology
A coding‐theoretic characterization of a unital in the Hughes plane is provided, based on and extending the work of Blokhuis, Brouwer, and Wilbrink in PG (2, q 2 ). It is shown that a Frobenius‐invariant unital is contained in the p ‐code of the Hughes plane if and only if that unital is projectively equivalent to the Rosati unital. © 2003 Wiley Periodicals, Inc.