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 2016Show all

6 papers · 1 filter

math.AG2016

Generalized Artin-Mumford curves over finite fields

Maria Montanucci, Giovanni Zini

Let $F_{q}$ be the finite field of order $q = p^{h}$ with $p > 2$ prime and $h > 1$ , and let $F_{q ˉ}$ be a subfield of $F_{q}$ . From any two $q ˉ$ -linearize…

math.CO2016

Multi-Point AG Codes on the GK Maximal Curves

Daniele Bartoli, Maria Montanucci, Giovanni Zini

In this paper we investigate multi-point Algebraic-Geometric codes associated to the GK maximal curve, starting from a divisor which is invariant under a large automorphism group o…

math.AG2016

On some Galois covers of the Suzuki and Ree curves

Massimo Giulietti, Maria Montanucci, Luciane Quoos +1

We determine the full automorphism group of two recently constructed families $S ~_{q}$ and $R ~_{q}$ of maximal curves over finite fields. These curves…

math.AG2016★ 3 cited

Algebraic Geometric codes from Kummer Extensions

Daniele Bartoli, Luciane Quoos, Giovanni Zini

For Kummer extensions defined by $y^{m} = f (x)$ , where $f (x)$ is a separable polynomial over the finite field $F_{q}$ , we compute the number of Weierstrass gaps at two total…

math.CO2016

Complete permutation polynomials from exceptional polynomials

Daniele Bartoli, Massimo Giulietti, Luciane Quoos +1

We classify complete permutation polynomials of type $a X^{\frac{q ^{n} - 1}{q - 1} + 1}$ over the finite field with $q^{n}$ elements, for $n + 1$ a prime and $n^{4} < q$ . For the case $n + 1$ a pow…

math.AG2016

Some Ree and Suzuki curves are not Galois covered by the Hermitian curve

Maria Montanucci, Giovanni Zini

The Deligne-Lusztig curves associated to the algebraic groups of type $^{2} A_{2}$ , $^{2} B_{2}$ , and $^{2} G_{2}$ are classical examples of maximal curves over finite fields. The Hermitian curve…