Maximum scattered Fq-linear sets of PG(1,q4)

There are two known families of maximum scattered Fq-linear sets in PG(1,qt): 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 line...

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Bibliographic Details
Published inDiscrete mathematics Vol. 341; no. 1; pp. 74 - 80
Main Authors Csajbók, Bence, Zanella, Corrado
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2018
Subjects
Finite projective line
Finite projective space
Linear set
Subgeometry
Finite projective space
Subgeometry
Linear set
Finite projective line
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ISSN0012-365X
1872-681X
DOI10.1016/j.disc.2017.07.001

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Summary:There are two known families of maximum scattered Fq-linear sets in PG(1,qt): 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,q4) and PΓL(2,q4).
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2017.07.001