On quadratic APN functions and dimensional dual hyperovals

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作者
Yves Edel
机构
[1] Ghent University,Department of Pure Mathematics and Computer Algebra
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关键词
Finite fields; Finite geometry; APN functions; Dimensional dual hyperovals; 52C35; 94A60; 11T06; 11T71;
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摘要
In this paper we characterize the d-dimensional dual hyperovals in PG(2d + 1, 2) that can be obtained by Yoshiara’s construction (Innov Incid Geom 8:147–169, 2008) from quadratic APN functions and state a one-to-one correspondence between the extended affine equivalence classes of quadratic APN functions and the isomorphism classes of these dual hyperovals.
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页码:35 / 44
页数:9
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