Maximum scattered F-q-linear sets of PG(1, q(4))

Csajbók, Bence and Zanella, C. (2018) Maximum scattered F-q-linear sets of PG(1, q(4)). DISCRETE MATHEMATICS, 341 (1). pp. 74-80. ISSN 0012-365X

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Abstract

There are two known families of maximum scattered Fq-linear sets in PG(1, q(t)): 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, q(4)) and pri(2, q(4)). (C) 2017 Elsevier B.V. All rights reserved.

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