5 papers · 1 filter
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…
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…