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In this paper we develop a theory of translation groups for dimensional dual hyperovals and APN functions. It will be seen that both theories can be treated, to a large degree, simultaneously. For… (More)
In Section 2 of  C. Huybrechts introduces the notion of covers and quotients of dimensional dual hyperovals and calls maximal covers universal. S. Yoshiara  and  calls such maximal covers… (More)
The problem of computing the automorphism groups of elementary abelian Hadamard difference sets or equivalently of bent functions seems to have attracted not much interest so far. We describe some… (More)
Using isomorphism invariants, we enumerate the translation planes of order 49 and determine their automorphism groups.
In  an extension construction of (n+1)-dimensional, bilinear dual hyperovals using n-dimensional, symmetric dual hyperovals was introduced. We characterize extensions which are again symmetric and… (More)
This paper is the successor of . We now consider semibent functions with a linear structure. Semibent functions of partial spread type with a linear structure seem to be rare. We distinguish four… (More)
In this article we outline a computer assisted classification of the ovoids in an orthogonal space of the type Ω+(8, 5).