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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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
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ISSN1071-5797
1090-2465
DOI10.1016/j.ffa.2021.101983

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Abstract 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.
AbstractList 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.
ArticleNumber 101983
Author Montanucci, Maria
Zanella, Corrado
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Cites_doi 10.1016/j.jalgebra.2018.03.010
10.1016/j.ffa.2016.04.006
10.2140/iig.2005.2.35
10.1007/s10623-010-9393-9
10.1515/form.2004.029
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10.1007/s00493-016-3531-6
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10.3934/amc.2016019
10.26493/1855-3974.1651.e79
10.1016/j.ffa.2017.07.002
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Finite projective line
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Snippet 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]....
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SubjectTerms Finite projective line
Finite projective space
Linear set
Subgeometry
Title A class of linear sets in PG(1,q5)
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