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 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).
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Ball, S., Zieve, M. (2004). Symplectic Spreads and Permutation Polynomials. In: Mullen, G.L., Poli, A., Stichtenoth, H. (eds) Finite Fields and Applications. Fq 2003. Lecture Notes in Computer Science, vol 2948. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24633-6_7
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DOI: https://doi.org/10.1007/978-3-540-24633-6_7
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