Association schemes of quadratic forms over a finite field of characteristic two
โ Scribed by Yangxian Wang; Chunsen Wang; Changli Ma
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 383 KB
- Volume
- 43
- Category
- Article
- ISSN
- 1001-6538
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let F be a finite field of cliaracteristic two and'let F'xm and FIXn denote vector spaces of m-tuples and n-tuples, respectively, over P. Let Q be a quadratic form of rank m defined on FIXm and let Q, be a quadratic form of rank n defined on F I X n . Then relative to given ordered bases for .FIXm a
Let N be the number of affine zeros of a pair of quadratic forms in n#1 variables defined over a finite field F O . We give upper and lower bounds for N and show that these bounds are optimal. One result states that if n#1510 and every quadratic form in the pencil has order at least three, then "N!q