On BEL-configurations and finite semifields
نویسندگان
چکیده
منابع مشابه
On BEL-configurations and finite semifields
In this talk we will explain the Knuth orbit of a semifield S: a set of six isotopism classes of semifields associated to S (from [2]), and discuss ways of extending it, using techniques from finite geometry. A BEL-configuration in Frn q is a triple (D, U,W ), where D is a Desarguesian spread, and U and W are subspaces of dimension n and rn− n, resp., such that no element of D intesects both U ...
متن کاملFinite semifields
This note surveys the known finite semifields and discusses the question: How many finite semifields of a given order are there up to isotopism?
متن کاملSegre embeddings and finite semifields
Each embedded product space PG(n, q)×PG(n, q) in an (n2 +n− 1)-dimensional projective space is obtained by projecting the Segre variety Sn,n,q from an n-subspace δ skew with its first secant variety. On the other hand, when δ is skew with the (n − 1)-th secant variety, it determines a semifield of order qn+1 whose center contains Fq. A relationship arises between a particular class of embedding...
متن کاملFinite semifields and nonsingular tensors
In this article, we give an overview of the classification results in the theory of finite semifieldsand elaborate on the approach using nonsingular tensors based on Liebler [52].
متن کاملFinite Semifields and Galois Geometry∗
In this article, we concentrate on the links between Galois geometry and a particular kind of non-associative algebras of finite dimension over a finite field F, called finite semifields. Although in the earlier literature (predating 1965) the term semifields was not used, the study of these algebras was initiated about a century ago by Dickson [31], shortly after the classification of finite f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2014
ISSN: 0925-1022,1573-7586
DOI: 10.1007/s10623-014-0015-9