Pencils of Quadratic Forms over Finite Fields

Authors

Robert W. Fitzgerald, Southern Illinois University CarbondaleFollow
Joseph L. Yucas, Southern Illinois University Carbondale

Comments

Published in Discrete Mathematics, 283, 71-79.

Abstract

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

Recommended Citation

Fitzgerald, Robert W. and Yucas, Joseph L. "Pencils of Quadratic Forms over Finite Fields." (Jan 2004).