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Symplectic spreads and permutation polynomials

Author
Ball, S.; Zieve, M.
Type of activity
Presentation of work at congresses
Name of edition
7th International Conference on Finite Fields and Applications
Date of publication
2004
Presentation's date
2004-07-01
Book of congress proceedings
Finite Fields and Applications
First page
79
Last page
88
Publisher
Springer
Repository
http://hdl.handle.net/2117/18893 Open in new window
URL
http://www.springer.com/computer/theoretical+computer+science/book/978-3-540-21324-6?cm_mmc=Google-_-Book%20Search-_-Springer-_-0 Open in new window
Abstract
Every symplectic spread of PG(3, q), or equivalently every ovoid of Q(4, q), is shown to give a certain family of permutation polynomials of GF(q) and vice-versa. This leads to an algebraic proof of the existence of the Tits-L¨uneburg spread of W(22h+1) and the Ree-Tits spread of W(32h+1), as well as to a new family of low-degree permutation polynomials over GF(32h+1).
Citation
Ball, S.; Zieve, M. Symplectic spreads and permutation polynomials. A: International Conference on Finite Fields and Applications. "Finite Fields and Applications". Toulouse: Springer, 2004, p. 79-88.
Group of research
GAPCOMB - Geometric, Algebraic and Probabilistic Combinatorics

Participants