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,bx^q+x^(q^4)):x∈Fq^6} in Fq^6×Fq^6. This verifies a conjecture of Csajbók, Marino, Polverino and Zanella from 2018.
On a conjecture about maximum scattered subspaces of F-q6 X F-q6 / Bartoli, Daniele; Csajbok, Bence; Montanucci, Maria. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - STAMPA. - 631:(2021), pp. 111-135. [10.1016/j.laa.2021.08.023]
On a conjecture about maximum scattered subspaces of F-q6 X F-q6
Csajbok, Bence;
2021-01-01
Abstract
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,bx^q+x^(q^4)):x∈Fq^6} in Fq^6×Fq^6. This verifies a conjecture of Csajbók, Marino, Polverino and Zanella from 2018.File in questo prodotto:
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