Scattered trinomials of \(\mathbb{F}_{q^6} [X]\) in even characteristic

Linear codes and caps in Galois spaces (51E22) Combinatorial aspects of finite geometries (05B25) Polynomials over finite fields (11T06) Boolean functions (06E30) Combinatorial structures in finite projective spaces (51E20)

Cites Work

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On the equivalence of linear sets
A new family of linear maximum rank distance codes
MRD-codes and linear sets
On scattered linear sets of pseudoregulus type in \(\operatorname{PG}(1,q^{t})\)
Linear sets in finite projective spaces
Generalized twisted Gabidulin codes
Theory of codes with maximum rank distance
Bilinear forms over a finite field, with applications to coding theory
The Magma algebra system. I: The user language
Scattered spaces with respect to a spread in \(\text{PG}(n,q)\)
Classes and equivalence of linear sets in \(\mathrm{PG}(1,q^{n})\)
A new family of MRD-codes
New maximum scattered linear sets of the projective line
Linear sets and MRD-codes arising from a class of scattered linearized polynomials
Generalising the scattered property of subspaces
Extending two families of maximum rank distance codes
MRD-codes arising from the trinomial \(x^q + x^{q^3} + c x^{q^5} \in \mathbb{F}_{q^6} [x\)]
A condition for scattered linearized polynomials involving Dickson matrices
Scalar \(q\)-subresultants and Dickson matrices
Rank-metric codes, linear sets, and their duality
On kernels and nuclei of rank metric codes
Linearized polynomials over finite fields revisited
Improved explicit estimates on the number of solutions of equations over a finite field
A new family of maximum scattered linear sets in PG(1, q^6)
Blocking sets and derivable partial spreads
A Large family of maximum scattered linear sets of PG(1,\(q^n\)) and their associated MRD codes
On the equivalence issue of a class of 2-dimensional linear maximum rank distance codes
On a family of linear MRD codes with parameters \([8\times 8,16,7_q\)]
A standard form for scattered linearized polynomials and properties of the related translation planes