We prove that under the action of GL(2, q(6)) there are left perpendicular(q(2)+ q+ 1)(q- 2)/2right perpendicular equivalence classes of maximum scattered subspaces of the form U-b={( x, bx(q) + x(q4)) : x is an element of F-q6} in F-q6 x F-q6. This verifies a conjecture of Csajbok, Marino, Polverino and Zanella from 2018. (c) 2021 Elsevier Inc. All rights reserved.
On a conjecture about maximum scattered subspaces of
Daniele Bartoli;Maria Montanucci
2021
Abstract
We prove that under the action of GL(2, q(6)) there are left perpendicular(q(2)+ q+ 1)(q- 2)/2right perpendicular equivalence classes of maximum scattered subspaces of the form U-b={( x, bx(q) + x(q4)) : x is an element of F-q6} in F-q6 x F-q6. This verifies a conjecture of Csajbok, Marino, Polverino and Zanella from 2018. (c) 2021 Elsevier Inc. All rights reserved.File in questo prodotto:
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