1 citations · 1 across the 4 of their papers we have counts for
13 papers
Minimal codewords in Norm-Trace codes
Daniele Bartoli, Matteo Bonini, Marco Timpanella
In this paper, we consider the affine variety codes obtained evaluating the polynomials , , at the affine $\F_{q^r}$-rational po…
Saturating systems and the rank covering radius
Matteo Bonini, Martino Borello, Eimear Byrne
We introduce the concept of a rank saturating system and outline its correspondence to a rank-metric code with a given covering radius. We consider the problem of finding the value…
Rational points on cubic surfaces and AG codes from the Norm-Trace curve
Matteo Bonini, Massimiliano Sala, Lara Vicino
In this paper we give a complete characterization of the intersections between the Norm-Trace curve over and the curves of the form , generaliz…
On the weight distribution of some minimal codes
Daniele Bartoli, Matteo Bonini, Marco Timpanella
Minimal codes are a class of linear codes which gained interest in the last years, thanks to their connections to secret sharing schemes. In this paper we provide the weight distri…
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.
On the weights of dual codes arising from the GK curve
Edoardo Ballico, Matteo Bonini
In this paper we investigate some dual algebraic-geometric codes associated with the Giulietti-Korchmáros maximal curve. We compute the minimum distance and the minimum weight code…
Minimal linear codes arising from blocking sets
Matteo Bonini, Martino Borello
Minimal linear codes are algebraic objects which gained interest in the last twenty years, due to their link with Massey's secret sharing schemes. In this context, Ashikhmin and Ba…
Planar Polynomials arising from Linearized polynomials
Daniele Bartoli, Matteo Bonini
In this paper we construct planar polynomials of the type , with . In particular we completely class…
Intersections between the norm-trace curve and some low degree curves
Matteo Bonini, Massimiliano Sala
In this paper we analyze the intersection between the norm-trace curve over and the curves of the form , giving a complete characterization of…
Minimal linear codes in odd characteristic
Daniele Bartoli, Matteo Bonini
In this paper we generalize constructions in two recent works of Ding, Heng, Zhou to any field , odd, providing infinite families of minimal codes for which the A…
Minimum weight codewords in dual Algebraic-Geometric codes from the Giulietti-Korchmáros curve
Daniele Bartoli, Matteo Bonini
In this paper we investigate the number of minimum weight codewords of some dual Algebraic-Geometric codes associated with the Giulietti-Korchmáros maximal curve, by computing the…
On plane curves given by separated polynomials and their automorphisms
Matteo Bonini, Maria Montanucci, Giovanni Zini
Let be a plane curve defined over the algebraic closure of a prime finite field by a separated polynomial, that is , where…
Constant dimension codes from Riemann-Roch spaces
Daniele Bartoli, Matteo Bonini, Massimo Giulietti
Some families of constant dimension codes arising from Riemann-Roch spaces associated to particular divisors of a curve $\X$ are constructed. These families are generalizations of…