9 citations · 101 across the 70 of their papers we have counts for
7 papers · 1 filter
Non-minimum tensor rank Gabidulin codes
Daniele Bartoli, Giovanni Zini, Ferdinando Zullo
The tensor rank of some Gabidulin codes of small dimension is investigated. In particular, we determine the tensor rank of any rank metric code equivalent to an -dimensional $\m…
Low c-differential uniformity for functions modified on subfields
Daniele Bartoli, Marco Calderini, Constanza Riera +1
In this paper, we construct some piecewise defined functions, and study their -differential uniformity. As a by-product, we improve upon several prior results. Further, we look…
Linear maximum rank distance codes of exceptional type
Daniele Bartoli, Giovanni Zini, Ferdinando Zullo
Scattered polynomials of a given index over finite fields are intriguing rare objects with many connections within mathematics. Of particular interest are the exceptional ones, as…
On a conjecture on APN permutations
Daniele Bartoli, Marco Timpanella
The single trivariate representation proposed in [C. Beierle, C. Carlet, G. Leander, L. Perrin, A Further Study of Quadratic APN Permutations in Dimension Nine, arXiv:2104.08008] o…
An inductive construction of minimal codes
Daniele Bartoli, Matteo Bonini, Burçin Güneş
We provide new families of minimal codes in any characteristic. Also, an inductive construction of minimal codes is presented.
Tables, bounds and graphics of short linear codes with covering radius 3 and codimension 4 and 5
Daniele Bartoli, Alexander A. Davydov, Stefano Marcugini +1
The length function is the smallest length of a -ary linear code of codimension (redundancy) and covering radius . The -length function i…