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On recognition by spectrum of the simple groupsB3(q),C3(q), andD4(q)

✍ Scribed by A. M. Staroletov

Book ID
114990272
Publisher
SP MAIK Nauka/Interperiodica
Year
2012
Tongue
English
Weight
165 KB
Volume
53
Category
Article
ISSN
0037-4466

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πŸ“œ SIMILAR VOLUMES

On the construction of [q4+q2βˆ’q, 5,q4βˆ’q3
On the construction of [q4+q2βˆ’q, 5,q4βˆ’q3+q2βˆ’ 2q;q]-codes meeting the Griesmer bound
✍ 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

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 β©Ύ 3
✍ L.R.A Casse; D.G Glynn πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 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