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- W4303982801 abstract "Ovoids of the non-degenerate quadric Q(4,q) of PG(4,q) have been studied since the end of the’ 80s. They are rare objects and, beside the classical example given by an elliptic quadric, only three classes are known for q odd, one class for q even, and a sporadic example for q = 35. It is well known that to any ovoid of Q(4,q) a bivariate polynomial f (x,y) can be associated. In this paper we classify ovoids of Q(4,q) whose corresponding polynomial f (x, y) has “low degree” compared with q, in particular, (deg left( f right) < {left( {{1 over {6.3}}q} right)^{{3 over {13}}}} - 1). Finally, as an application, two classes of permutation polynomials in characteristic 3 are obtained." @default.
- W4303982801 created "2022-10-10" @default.
- W4303982801 creator A5051731775 @default.
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- W4303982801 date "2022-10-10" @default.
- W4303982801 modified "2023-09-29" @default.
- W4303982801 title "On the Classification of Low-Degree Ovoids of Q(4,q)" @default.
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- W4303982801 doi "https://doi.org/10.1007/s00493-022-5005-3" @default.
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