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 PΓL(2,q^4).
Maximum scattered Fq-linear sets of PG(1,q^4) / Csajbok, Bence; Zanella, Corrado. - In: DISCRETE MATHEMATICS. - ISSN 0012-365X. - STAMPA. - 341:1(2018), pp. 74-80. [10.1016/j.disc.2017.07.001]
Maximum scattered Fq-linear sets of PG(1,q^4)
Csajbok, Bence
;
2018-01-01
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 PΓL(2,q^4).File in questo prodotto:
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