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Journal article

On a conjecture about maximum scattered subspaces of Fq6×Fq6

From

University of Perugia1

Eotvos Lorand University2

Department of Applied Mathematics and Computer Science, Technical University of Denmark3

Mathematics, Department of Applied Mathematics and Computer Science, Technical University of Denmark4

We prove that under the action of GL(2,q6) there are ⌊(q2+q+1)(q−2)/2⌋ equivalence classes of maximum scattered subspaces of the form Ub={(x,bxq+xq4):x∈ F q6} in F q6× F q6. This verifies a conjecture of Csajbók, Marino, Polverino and Zanella from 2018.

Language: English
Year: 2021
Pages: 111-135
ISSN: 18731856 and 00243795
Types: Journal article
DOI: 10.1016/j.laa.2021.08.023
ORCIDs: 0000-0002-5767-1679 , 0000-0003-2801-452X and Montanucci, Maria

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