New maximum scattered linear sets of the projective line
نویسندگان
چکیده
منابع مشابه
On linear sets on a projective line
Linear sets generalise the concept of subgeometries in a projective space. They have many applications in finite geometry. In this paper we address two problems for linear sets: the equivalence problem and the intersection problem. We consider linear sets as quotient geometries and determine the exact conditions for two linear sets to be equivalent. This is then used to determine in which cases...
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In this paper, we show that one can associate a pseudoregulus with every scattered linear set of rank 3n in PG(2n − 1, q3). We construct a scattered linear set having a given pseudoregulus as associated pseudoregulus and prove that there are q − 1 different scattered linear sets that have the same associated pseudoregulus. Finally, we give a characterisation of reguli and pseudoreguli in PG(3, ...
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In a preceding paper (Bruyère and Carton, automata on linear orderings, MFCS’01), automata have been introduced for words indexed by linear orderings. These automata are a generalization of automata for finite, infinite, bi-infinite and even transfinite words studied by Büchi. Kleene’s theorem has been generalized to these words. We prove that rational sets of words on countable scattered linea...
متن کاملon the effect of linear & non-linear texts on students comprehension and recalling
چکیده ندارد.
15 صفحه اول1 M ay 2 01 7 Maximum scattered F q - linear sets of PG ( 1 , q 4 )
There are two known families of maximum scattered Fq-linear sets in PG(1, q): the linear sets of pseudoregulus type and for t ≥ 4 the scattered linear sets found by Lunardon and Polverino. For t = 4 we show that these are the only maximum scattered Fq-linear sets and we describe the orbits of these linear sets under the groups PGL(2, q) and PΓL(2, q).
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2018
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2018.08.001