Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Giovanni Zini"'
Autor:
Marco Timpanella, Giovanni Zini
Publikováno v:
Designs, Codes and Cryptography.
In this paper we consider a family $\mathcal{F}$ of $16$-dimensional $\mathbb{F}_q$-linear rank metric codes in $\mathbb{F}_q^{8\times8}$, arising from the polynomial $x^{q^s}+\delta x^{q^{4+s}}\in\mathbb{F}_{q^8}[x]$. Examples of MRD codes in $\math
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8447573816e8b8b2f52d5e42dad0e68d
https://doi.org/10.1007/s10623-022-01179-0
https://doi.org/10.1007/s10623-022-01179-0
Publikováno v:
International Journal of Algebra and Computation. 31:987-1011
Let [Formula: see text] be the simple group [Formula: see text], where [Formula: see text] is a prime number. For any subgroup [Formula: see text] of [Formula: see text], we compute the Möbius function [Formula: see text] of [Formula: see text] in t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd3689ad2c63f838de0a0bb071ac1975
https://doi.org/10.1142/s0218196721400014
https://doi.org/10.1142/s0218196721400014
Autor:
Giovanni Zini
Publikováno v:
Bulletin of the Australian Mathematical Society. 104:448-452
In this note we show that every element of a simple Suzuki group $^2B_2(q)$ is a commutator of elements of coprime orders.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32f61cdbdb054729a759f168998152a4
https://doi.org/10.1017/s0004972720001537
https://doi.org/10.1017/s0004972720001537
Publikováno v:
Bartoli, D, Montanucci, M & Zini, G 2021, ' Weierstrass semigroups at every point of the Suzuki curve ', Acta Arithmetica . https://doi.org/10.4064/aa181203-24-2
We explicitly determine the structure of the Weierstrass semigroups H(P) for any point P of the Suzuki curve Sq. As the point P varies, exactly two possibilities arise for H(P): one for the Fq-rational points (already known in the literature), and on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f7edee3b617ad366921de29ba462180e
https://doi.org/10.4064/aa181203-24-2
https://doi.org/10.4064/aa181203-24-2
Autor:
Giovanni Zini, Maria Montanucci
Publikováno v:
Journal of Algebra. 550:23-53
Let F q 2 be the finite field with q 2 elements. Most of the known F q 2 -maximal curves arise as quotient curves of the F q 2 -maximal Hermitian curve H q . After a seminal paper by Garcia, Stichtenoth and Xing, many papers have provided genera of q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::019b5c7e994b92201e41c58bbab8e850
https://doi.org/10.1016/j.jalgebra.2020.01.004
https://doi.org/10.1016/j.jalgebra.2020.01.004
Scattered polynomials over a finite field $\mathbb{F}_{q^n}$ have been introduced by Sheekey in 2016, and a central open problem regards the classification of those that are exceptional. So far, only two families of exceptional scattered polynomials
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::094b0c97be14ebd658b41c3d221a4eb8
http://hdl.handle.net/11591/458622
http://hdl.handle.net/11591/458622
In this paper we investigate some properties of ideals in group algebras of finite groups over fields. First, we highlight an important link between their dimension, their minimal Hamming distance and the group order. This is a generalized version of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b437563cac18e2b4b3913d4f5dfadc63
https://hdl.handle.net/11380/1288474
https://hdl.handle.net/11380/1288474
Scattered polynomials of a given index over finite fields are intriguing rare objects with many connections within mathematics. Of particular interest are the exceptional ones, as defined in 2018 by the first author and Zhou, for which partial classi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36c8eb48614005087a3b8b1820813b41
http://arxiv.org/abs/2110.08102
http://arxiv.org/abs/2110.08102
Publikováno v:
Finite Fields and Their Applications. 82:102050
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::406de96a7a2cb62824279394d4fc769c
https://doi.org/10.1016/j.ffa.2022.102050
https://doi.org/10.1016/j.ffa.2022.102050
Autor:
Giovanni Zini, Maria Montanucci
Publikováno v:
Montanucci, M & Zini, G 2019, ' Quotients of the Hermitian curve from subgroups of PGU(3,q) without fixed points or triangles ', Journal of Algebraic Combinatorics . https://doi.org/10.1007/s10801-019-00905-7
In this paper, we deal with the problem of classifying the genera of quotient curves $${\mathcal {H}}_q/G$$ , where $${\mathcal {H}}_q$$ is the $${\mathbb {F}}_{q^2}$$ -maximal Hermitian curve and G is an automorphism group of $${\mathcal {H}}_q$$ .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66442a1760cdcd42a318878ec73968d8
https://doi.org/10.1007/s10801-019-00905-7
https://doi.org/10.1007/s10801-019-00905-7