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 conversely. This leads to an algebraic proof of the existence of the Tits-Lüneburg 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). © Springer-Verlag Berlin Heidelberg 2004.
CITATION STYLE
Ball, S., & Zieve, M. (2004). Symplectic spreads and permutation polynomials. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2948, 79–88. https://doi.org/10.1007/978-3-540-24633-6_7
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