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

✍ Scribed by Laura Bader


Publisher
Springer
Year
1988
Tongue
English
Weight
309 KB
Volume
27
Category
Article
ISSN
0046-5755

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✦ Synopsis


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


πŸ“œ SIMILAR VOLUMES


On the flocks of Q+(3,q)
✍ Laura Bader; Guglielmo Lunardon πŸ“‚ Article πŸ“… 1989 πŸ› Springer 🌐 English βš– 297 KB

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.

Examples of some Q-admissible groups
✍ Walter Feit; Paul Vojta πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 644 KB
On the construction of [q4+q2βˆ’q, 5,q4βˆ’q3
✍ Noboru Hamada; Tor Helleseth; Øyvind Ytrehus πŸ“‚ Article πŸ“… 1992 πŸ› Springer 🌐 English βš– 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