Unitals in the code of the Hughes plane | Zendy

Baker R. D. | Zendy; Wantz K. L. | Zendy

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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.

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