Pencils of quadratic forms over finite fields

A formula for the number of common zeros of a non-degenerate pencil of quadratic forms spanned by gap forms is given. This is applied to pencils which count binary strings with an even number of 1's prescribed distances apart.

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Bibliographic Details
Published in:Discrete mathematics 2004-06, Vol.283 (1), p.71-79
Main Authors: Fitzgerald, Robert W., Yucas, Joseph L.
Format: Article
Language:English
Subjects:
Algebra
Arf invariant
Exact sciences and technology
Finite fields
Mathematics
Number theory
Quadratic forms
Sciences and techniques of general use
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Description
Summary:A formula for the number of common zeros of a non-degenerate pencil of quadratic forms spanned by gap forms is given. This is applied to pencils which count binary strings with an even number of 1's prescribed distances apart.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2004.01.006