Symplectic Spreads
نویسندگان
چکیده
We construct an infinite family of symplectic spreads in spaces of odd rank and characteristic.
منابع مشابه
Orthogonal Dual Hyperovals, Symplectic Spreads and Orthogonal Spreads
Orthogonal spreads in orthogonal spaces of type V (2n + 2, 2) produce large numbers of rank n dual hyperovals in orthogonal spaces of type V (2n, 2). The construction resembles the method for obtaining symplectic spreads in V (2n, q) from orthogonal spreads in V (2n + 2, q) when q is even.
متن کاملSymplectic spreads and symplectically paired spreads
If π is a finite symplectic translation plane, it is shown that any affine homology group is cyclic and has order dividing the order of the kernel homology group. This criterion provides a means to ensure that a given spread is not symplectic. Furthermore, a variety of symplectically paired André spreads are constructed.
متن کاملSymplectic spreads, planar functions and mutually unbiased bases
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متن کاملSymplectic spreads from twisted fields
A ,yml'/eclic 'l'J"wd of PG(2n + l,q) is a spread of the symplectic polar space ~V(2n + l,q) defined by a nonsingular alternating bilinear form on a (2n+2)dimensional vector space over GF(q), i.e., a set of q"+l + 1 pairwise disjoint maximal totally isotropic subspaces. Note that a symplectic spread of PG(3, q) is equivalent, under the Klein correspondence, to an ovoid of the quadric Q( 4, q). ...
متن کاملSome results on Spreads and Ovoids
We survey some results on ovoids and spreads of finite polar spaces, focusing on the ovoids of H(3, q) arising from spreads of PG(3, q) via indicator sets and Shult embedding, and on some related constructions. We conclude with a remark on symplectic spreads of PG(2n− 1, q).
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ورودعنوان ژورنال:
- Des. Codes Cryptography
دوره 32 شماره
صفحات -
تاریخ انتشار 2004