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20092023
most citedNew MRD codes from linear cutting blocking sets

9 citations · 101 across the 70 of their papers we have counts for

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math.CO2023

Scattered trinomials of in even characteristic

Daniele Bartoli, Giovanni Longobardi, Giuseppe Marino +1

In recent years, several families of scattered polynomials have been investigated in the literature. However, most of them only exist in odd characteristic. In [B. Csajbók, G. Mari…

math.CO2023

On Permutation Trinomials of the type over

Daniele Bartoli, Francesco Ghiandoni

Necessary and sufficient conditions on for being a permutation polynomial of are investigated via a co…

math.CO2023

Saturating linear sets of minimal rank

Daniele Bartoli, Martino Borello, Giuseppe Marino

Saturating sets are combinatorial objects in projective spaces over finite fields that have been intensively investigated in the last three decades. They are related to the so-call…

math.CO2023

New scattered sequences of order 3

Daniele Bartoli, Alessandro Giannoni

Scattered sequences are a generalization of scattered polynomials. So far, only scattered sequences of order one and two have been constructed. In this paper an infinite family of…

math.CO2023

Complete -arcs in from the Hermitian curve

Daniele Bartoli, Marco Timpanella

We prove that, if is large enough, the set of the -rational points of the Hermitian curve is a complete -arc in , addr…

math.CO2022★ 1 cited

Exceptional scattered sequences

Daniele Bartoli, Giuseppe Marino, Alessandro Neri +1

The concept of scattered polynomials is generalized to those of exceptional scattered sequences which are shown to be the natural algebraic counterpart of -linear…