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

Maria Montanucci; Corrado Zanella

doi:10.1016/j.ffa.2021.101983

A class of linear sets in PG(1, q⁵)

Maria Montanucci, Corrado Zanella

Universita di Padova

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Abstract

Maximum scattered linear sets in PG(1, qⁿ) have been completely classified for n ≤ 4, see [B. Csajbók and C. Zanella, Discrete Math. 341 (2018), 74–80; M. Lavrauw and G. Van de Voorde, Des. Codes Cryptogr. 56 (2010), 89–104]. 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.

Original language	English
Article number	101983
Journal	Finite Fields and Their Applications
Volume	78
Number of pages	28
ISSN	1071-5797
DOIs	https://doi.org/10.1016/j.ffa.2021.101983
Publication status	Published - 2021

Keywords

Linear set
Finite projective line
Subgeometry
Finite projective space

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