On some d-dimensional dual hyperovals in PG(2d, 2)

نویسنده

  • Hiroaki Taniguchi
چکیده

In [H. Taniguchi, On d-dimensional dual hyperovals in PG(2d,2), Innov. Incidence Geom., in press], we construct d-dimensional dual hyperovals in PG(2d,2) from quasifields of characteristic 2. In this note, we show that, if d-dimensional dual hyperovals in PG(2d,2) constructed from nearfields are isomorphic, then those nearfields are isomorphic. Some results on dual hyperovals constructed from quasifields are also proved. © 2008 Elsevier Inc. All rights reserved.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Dimensional dual hyperovals associated with Steiner systems

In Adv. Geom. 3 (2003) 245, a class of d-dimensional dual hyperovals is constructed starting from a subset X of PG(d, 2) with certain properties. In this paper, a criterion for X to provide a d-dimensional dual hyperoval is given in terms of some functions. Based on this, we describe such subsets, and show that there are exactly two isomorphism classes of d-dimensional dual hyperovals arising f...

متن کامل

Semi-Boolean Steiner quadruple systems and dimensional dual hyperovals

A dimensional dual hyperoval satisfying property (H) [6] in a project!ve space of order 2 is naturally associated with a "semi-Boolean" Steiner quadruple system. The only known examples are associated with Boolean systems. For every d > 2, we construct a new ddimensional dual hyperoval satisfying property (H) in PG(d(d + 3)/2,2); its related semiBoolean system is the Teirlinck one. It is univer...

متن کامل

Doubly Transitive Dimensional Dual Hyperovals: Universal Covers and Non-Bilinear Examples

In [5] we showed, that a doubly transitive, non-solvable dimensional dual hyperoval D is either isomorphic to the Mathieu dual hyperoval or to a quotient of a Huybrechts dual hyperoval. In order to determine the doubly transitive dimensional dual hyperovals, it remains to classify the doubly transitive, solvable dimensional dual hyperovals and this paper is a contribution to this problem. A dou...

متن کامل

Symmetric extensions of bilinear dual hyperovals

In [2] 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 present examples.

متن کامل

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(...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Finite Fields and Their Applications

دوره 14  شماره 

صفحات  -

تاریخ انتشار 2008