Dimensional doubly dual hyperovals and bent functions
نویسندگان
چکیده
منابع مشابه
The Non-solvable Doubly Transitive Dimensional Dual Hyperovals
In [9] S. Yoshiara determines possible automorphism group of doubly transitive dimensional dual hyperovals. He shows, that a doubly transitive dual hyperoval D is either isomorphic to the Mathieu dual hyperoval or the dual hyperoval is defined over F2 and if the hyperoval has rank n, the automorphism group has the form E · S, with an elementary abelian group E of order 2 and S a subgroup of GL(...
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We show that dimensional doubly dual hyperovals over F2 define bent functions. We also discuss some known and a few new examples of dimensional doubly dual hyperovals and study the associated bent functions.
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We classify the bilinear dual hyperovals over F2 of rank n, which admit a cyclic autotopism group of order 2 − 1. This work is a continuation of previous research of S. Yoshiara [7], where such dual hyperovals were investigated under the additional assumption, that the ambient space has dimension 2n.
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ژورنال
عنوان ژورنال: Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial
سال: 2013
ISSN: 2640-7345,2640-7337
DOI: 10.2140/iig.2013.13.149