✦ LIBER ✦

Small blocking sets of hermitian designs

✍ Scribed by David A Drake; Cyrus Kitto

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 357 KB
Volume: 65
Category: Article
ISSN: 0097-3165
DOI: 10.1016/0097-3165(94)90028-0

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On a family of minimal blocking sets of

On a family of minimal blocking sets of the Hermitian surface

✍ Antonio Cossidente;; Oliver H. King 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 87 KB 👁 1 views

An infinite family of minimal blocking sets of H(3,q 2 ) is constructed for even q, with links to Ceva configurations.

Small Blocking Sets in Higher Dimensions

✍ Tamás Szőnyi; Zsuzsa Weiner 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 133 KB

We show that small blocking sets in PG(n, q) with respect to hyperplanes intersect every hyperplane in 1 modulo p points, where q= p h . The result is then extended to blocking sets with respect to k-dimensional subspaces and, at least when p>2, to intersections with arbitrary subspaces not just hyp

Blocking sets in designs with block size

Blocking sets in designs with block size four II

✍ D.G. Hoffman; C.C. Lindner; ; K.T. Phelps 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 456 KB

In this paper, we give constructions of block designs with block size 4 and index 1, for L = 3, 6 which have a blocking set for all admissible orders (with at most 5 possible exceptions). A design which admits a blocking set is 2-colorable. These results, in conjunction with an earlier paper [l], s

Small Minimal Blocking Sets inPG(2, q3)

✍ O Polverino; L Storme 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 109 KB

on small minimal blocking sets in P G(2, p 3 ), p prime, p ≥ 7, to small minimal blocking sets in P G(2, q 3 ), q = p h , p prime, p ≥ 7, with exponent e ≥ h. We characterize these blocking sets completely as being blocking sets of Rédei-type.

Special sets of the Hermitian surface an

Special sets of the Hermitian surface and indicator sets

✍ Antonio Cossidente; Giuseppe Marino; Olga Polverino 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 121 KB 👁 1 views

## Abstract An interesting connection between special sets of the Hermitian surface of PG(3,__q__^2^), __q__ odd, (after Shult 13) and indicator sets of line‐spreads of the three‐dimensional projective space is provided. Also, the CP‐type special sets are characterized. © 2007 Wiley Periodicals, In

On blocking sets of inversive planes

✍ György Kiss; Stefano Marcugini; Fernanda Pambianco 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 96 KB

## Abstract Let __S__ be a blocking set in an inversive plane of order __q__. It was shown by Bruen and Rothschild 1 that |__S__| ≥ 2__q__ for __q__ ≥ 9. We prove that if __q__ is sufficiently large, __C__ is a fixed natural number and |__S__ = 2__q__ + __C__, then roughly 2/3 of the circles of the