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Automorphisms of Association Schemes of Quadratic Forms over a Finite Field of Characteristic Two

โœ Scribed by Changli Ma; Yangxian Wang

Publisher
World Scientific Publishing Company
Year
2003
Tongue
English
Weight
247 KB
Volume
10
Category
Article
ISSN
1005-3867

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๐Ÿ“œ SIMILAR VOLUMES

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โœ John D. Fulton ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 392 KB

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

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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