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DOI: 10.1360/SSM-2022-0073

Equivalence and automorphism groups of two families of maximum scattered linear sets

Wei TangYue Zhou
Dec 2022
摘要
Linear set in projective spaces over finite fields plays central roles in thestudy of blocking sets, semifields, rank-metric codes and etc. A linear setwith the largest possible cardinality and the maximum rank is called maximumscattered. Despite two decades of study, there are only a few number of knownmaximum scattered linear sets in projective lines, including the familyconstructed by Csajb\'ok, Marino, Polverino and Zanella 2018, and the familyconstructed by Csajb\'ok, Marino, Zullo 2018 (also Marino, Montanucci, andZullo 2020). This paper aims to solve the equivalence problem of the linearsets in each of these families and to determine their automorphism groups.
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