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A classification result on weighted {δ ( p 3 + 1), δ; 3, p 3 }‐minihypers
Author(s) -
Ferret S.,
Storme L.
Publication year - 2004
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.20009
Subject(s) - mathematics , combinatorics , prime (order theory) , line (geometry) , geometry
We classify all {δ ( p 3 + 1), δ; 3, p 3 }‐minihypers, $\delta \leq 2p^2-4p, p=p_0^{h}\geq 9, h \geq 1$ , for a prime number p 0 ≥ 7, with excess e ≤ p 3 . Such a minihyper is a sum of lines and of possibly one projected subgeometry PG (5, p ), or a sum of lines and a minihyper which is a projected subgeometry PG (5, p ) minus one line. When p is a square, also (possibly projected) Baer subgeometries PG (3, p 3/2 ) can occur. © 2004 Wiley Periodicals, Inc.