On the character table of the association schemeSp(4, q)/Sz(q)
β Scribed by Eiichi Bannai; Sung-Yell Song
- Publisher
- Springer Japan
- Year
- 1989
- Tongue
- English
- Weight
- 118 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0911-0119
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π SIMILAR VOLUMES
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
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