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
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2004-07-01
- Book of congress proceedings
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Finite Fields and Applications
- First page
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79
- Last page
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88
- Publisher
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Springer
- Repository
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http://hdl.handle.net/2117/18893
- URL
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http://www.springer.com/computer/theoretical+computer+science/book/978-3-540-21324-6?cm_mmc=Google-_-Book%20Search-_-Springer-_-0
- Abstract
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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
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