Giovanni Zini

dblp:179/0179 · DBLP profile ↗
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7ranked-venue papers
1as first author
4since 2021 · last 2024
0000-0003-4760-0428ORCID · verified

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Security and privacy · 6 · 1 first-author · 3 since 2021Theory of computation · 1 · 1 since 2021
YearPublicationVenuePosition
2024 On a family of linear MRD codes with parameters [8˟ 8,16,7]q
Marco Timpanella, Giovanni Zini
Des. Codes Cryptogr.2
2023 Linear Maximum Rank Distance Codes of Exceptional Type
abstract
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 classification results are known. In this paper we propose a unified algebraic description of$\mathbb {F}_{q^{n}}$-linear maximum rank distance codes, introducing the notion of exceptional linear maximum rank distance codes of a given index. Such a connection naturally extends the notion of exceptionality for a scattered polynomial in the rank metric framework and provides a generalization of Moore sets in the monomial MRD context. We move towards the classification of exceptional linear MRD codes, by showing that the ones of index zero are generalized Gabidulin codes and proving that in the positive index case the code contains an exceptional scattered polynomial of the same index.
Daniele Bartoli, Giovanni Zini, Ferdinando Zullo
IEEE Trans. Inf. Theory2
2021 On certain self-orthogonal AG codes with applications to Quantum error-correcting codes
Daniele Bartoli, Maria Montanucci, Giovanni Zini
Des. Codes Cryptogr.3
2021 Scattered subspaces and related codes
Giovanni Zini, Ferdinando Zullo
Des. Codes Cryptogr.1
2018 Multi point AG codes on the GK maximal curve
Daniele Bartoli, Maria Montanucci, Giovanni Zini
Des. Codes Cryptogr.3
2018 AG codes and AG quantum codes from the GGS curve
Daniele Bartoli, Maria Montanucci, Giovanni Zini
Des. Codes Cryptogr.3
2016 Complete (k, 3)-arcs from quartic curves
Daniele Bartoli, Massimo Giulietti, Giovanni Zini
Des. Codes Cryptogr.3