A class of linear sets in PG(1,q5)

Maximum scattered linear sets in PG(1,qn) have been completely classified for n≤4, see Csajbók and Zanella (2018) [9]; Lavrauw and Van de Voorde (2010) [10]. Here a wide class of linear sets in PG(1,q5) is studied which depends on two parameters. Conditions for the existence, in this class, of possi...

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Bibliographic Details
Published inFinite fields and their applications Vol. 78; p. 101983
Main Authors Montanucci, Maria, Zanella, Corrado
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.02.2022
Subjects
Finite projective line
Finite projective space
Linear set
Subgeometry
Finite projective space
Subgeometry
51E20
Linear set
05B25
Finite projective line
Online AccessGet full text
ISSN1071-5797
1090-2465
DOI10.1016/j.ffa.2021.101983

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Summary:Maximum scattered linear sets in PG(1,qn) have been completely classified for n≤4, see Csajbók and Zanella (2018) [9]; Lavrauw and Van de Voorde (2010) [10]. Here a wide class of linear sets in PG(1,q5) is studied which depends on two parameters. Conditions for the existence, in this class, of possible new maximum scattered linear sets in PG(1,q5) are exhibited.
ISSN:1071-5797
1090-2465
DOI:10.1016/j.ffa.2021.101983