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Characterization of {2(q+1)+2,2;t,q}-minihypers in PG(t,q) (t⩾3,qϵ{3,4})

✍ Scribed by Noboru Hamada; Tor Helleseth; Øyvind Ytrehus

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 677 KB
Volume: 115
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(93)90487-e

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✦ Synopsis

Hamada, N., T. Helleseth and 8. Ytrehus, Characterization of {2(q + 1) + 2, 2; t, q]-minihypers in PG(t, q) (t>3, q6{3,4}), Discrete Mathematics 115 (1993) 175-185.

A set F offpoints in a finite projective geometry PG(t, q) is an (L m; t, q}-minihyper if m (>O) is the largest integer such that all hyperplanes in PG(t, q) contain at least m points in F. Hamada and Deza (1988) characterized all {2(q + 1) +2,2; t, q}-minihypers for t > 3, q> 5. Hamada (1987Hamada ( , 1989) also determined the cases of t = 2, q > 3. In this paper we characterize {2(q + 1) + 2,2; t, q}-minihypers for t 2 3, q E{ 3,4}. In addition to the previously known constructions, we describe a new { 10, 2; 3,

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