9 citations · 101 across the 70 of their papers we have counts for
7 papers · 1 filter
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…
Locally recoverable codes from automorphism groups of function fields of genus
Daniele Bartoli, Maria Montanucci, Luciane Quoos
A Locally Recoverable Code is a code such that the value of any single coordinate of a codeword can be recovered from the values of a small subset of other coordinates. When we hav…
On certain self-orthogonal AG codes with applications to Quantum error-correcting codes
Daniele Bartoli, Maria Montanucci, Giovanni Zini
In this paper a construction of quantum codes from self-orthogonal algebraic geometry codes is provided. Our method is based on the CSS construction as well as on some peculiar pro…
New examples of maximal curves with low genus
Daniele Bartoli, Massimo Giulietti, Mokoto Kawakita +1
We investigate the Jacobian decomposition of some algebraic curves over finite fields with genus , and . As a corollary, explicit equations for curves that are either ma…
Explicit Maximal and Minimal Curves of Artin-Schreier Type from Quadratic Forms
Daniele Bartoli, Luciane Quoos, Zülfükar Saygı +1
In this work we present explicit examples of maximal and minimal curves over finite fields in odd characteristic. The curves are of Artin-Schreier type and the construction is clos…
-maximal curves with many automorphisms are Galois-covered by the Hermitian curve
Daniele Bartoli, Maria Montanucci, Fernando Torres
Let be the finite field of order , with prime. It is commonly atribute to J.P. Serre the fact that any curve -covered by the Hermitian cur…