✦ LIBER ✦

On the flocks of Q+(3,q)

✍ Scribed by Laura Bader; Guglielmo Lunardon

Publisher: Springer
Year: 1989
Tongue: English
Weight: 297 KB
Volume: 29
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00182118

No coin nor oath required. For personal study only.

✦ Synopsis

A complete characterization of the flocks of Q + (3, q) is given. As an application, it follows that if q is odd, q # 11, 23, 59, there exist no maximal exterior sets of Q + (2n -1, q) for n>2.

📜 SIMILAR VOLUMES

Flocks inPG(3,q)

✍ J. Chris Fisher; Joseph A. Thas 📂 Article 📅 1979 🏛 Springer-Verlag 🌐 French ⚖ 620 KB

Some new examples of flocks of Q+(3,q)

✍ Laura Bader 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 309 KB

Three new examples of non-linear flocks of the non-singular ruled quadric Q +(3, q) of PG(3, q) are given.

Flocks of a quadratic cone in PG(3,q),q≤

Flocks of a quadratic cone in PG(3,q),q≤ 8

✍ F. Clerck; H. Gevaert; J. A. Thas 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 776 KB

On the construction of [q4+q2−q, 5,q4−q3

On the construction of [q4+q2−q, 5,q4−q3+q2− 2q;q]-codes meeting the Griesmer bound

✍ Noboru Hamada; Tor Helleseth; Øyvind Ytrehus 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 237 KB

It is unknown whether or not there exists an [87, 5, 57 ; 31-code. Such a code would meet the Griesmer bound. The purpose of this paper is to give a constructive proof of the existence of [q4 + q2 \_ q, 5, q'\* -q3 + q2 \_ 2q; q]-codes for any prime power q \_> 3. As a special case, it is shown that

On the genus of the groups PSL(2, q), PS

On the genus of the groups PSL(2, q), PSL(3, q), and PSp(4, q)

✍ Clifton E. Ealy Jr 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 569 KB

On the uniqueness of (q + 1)4-arcs of PG

On the uniqueness of (q + 1)4-arcs of PG(4, q), q = 2h, h ⩾ 3

✍ L.R.A Casse; D.G Glynn 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 579 KB

Two results are proved: (1) In PG(3, q), q=2 h, h>~3, every q3-arc can be uniquely completed to a (q + 1)3-arc. (2) In PG(4, q), q = 2", h ~> 3, every (q + 1)4-arc is a normal rational curve. ## 1. In~oduction We assume throughout this paper that the base field GF(q) is of order q = 2 h, where h i