G. Zini

activity

20152026

most citedAlgebraic Geometric codes from Kummer Extensions

3 citations · 18 across the 26 of their papers we have counts for

collaborators

Showing 2017Show all

5 papers · 1 filter

cs.IT2017

AG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curves

Maria Montanucci, Marco Timpanella, Giovanni Zini

We investigate several types of linear codes constructed from two families $S ~_{q}$ and $R ~_{q}$ of maximal curves over finite fields recently construct…

math.AG2017

On plane curves given by separated polynomials and their automorphisms

Matteo Bonini, Maria Montanucci, Giovanni Zini

Let $C$ be a plane curve defined over the algebraic closure $K$ of a prime finite field $F_{p}$ by a separated polynomial, that is $C : A (y) = B (x)$ , where…

math.CO2017

On permutation trinomials of type $x^{2 p^{s} + r} + x^{p^{s} + r} + λ x^{r}$

Daniele Bartoli, Giovanni Zini

We determine all permutation trinomials of type $x^{2 p^{s} + r} + x^{p^{s} + r} + λ x^{r}$ over the finite field $F_{p^{t}}$ when $(2 p^{s} + r)^{4} < p^{t}$ . This partially extends a previous result…

math.AG2017

On the spectrum of genera of quotients of the Hermitian curve

Maria Montanucci, Giovanni Zini

We investigate the genera of quotient curves $H_{q} / G$ of the $F_{q^{2}}$ -maximal Hermitian curve $H_{q}$ , where $G$ is contained in the maximal subgroup $\math…

math.CO2017★ 3 cited

AG codes and AG quantum codes from the GGS curve

Daniele Bartoli, Maria Montanucci, Giovanni Zini

In this paper, algebraic-geometric (AG) codes associated with the GGS maximal curve are investigated. The Weierstrass semigroup at all $F_{q^{2}}$ -rational points of the curv…

AG codes and AG quantum codes from cyclic extensions of the Suzuki and Ree curves

On plane curves given by separated polynomials and their automorphisms

On permutation trinomials of type x2ps+r+xps+r+λxr

On the spectrum of genera of quotients of the Hermitian curve

AG codes and AG quantum codes from the GGS curve

On permutation trinomials of type $x^{2 p^{s} + r} + x^{p^{s} + r} + λ x^{r}$