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Alessandro Neri's Home Page




About me

I am currently a postdoctoral researcher at INRIA Saclay. In the summer 2019 I got my PhD degree in Mathematics at University of Zurich, under the supervision of Prof. Joachim Rosenthal.
My main research interest is Algebraic Coding Theory. I study the algebra of finite fields and its applications, with also a focus on combinatorial problems on codes. I am especially interested in rank-metric codes and their algebraic structures.

List of coauthors: Tim L. Alderson, Eimear Byrne, José Gómez Torrecillas, Anna-Lena Horlemann-Trautmann, Fco. Javier Lobillo Borrero, Giacomo Micheli, Gabriel Navarro, Sven Puchinger, Tovohery Hajatiana Randrianarisoa, Alberto Ravagnani, Joachim Rosenthal, Davide Schipani, John Sheekey, Minjia Shi, Patrick Solé,


News

Since September 2019, granted by the Swiss National Science Foundation with an Early Postdoc.Mobility fellowship.

Invited speaker at SIAM Conference on Applied Algebraic Geometry, 9-13 July 2019, Bern (Switzerland).

Going to the Summer school Finite Geometry & Friends, 17-21 June 2019, Brussels (Belgium).

Invited to the conference Arithmetic, Geometry, Cryptography and Coding Theory, 10-14 June 2019, CIRM, Luminy (France).


Contacts

Email address alessandro.neri[at]math.uzh.ch
Office room Y27H06, Institut für Mathematik, Universität Zürich
Phone +41 44 635 60 57/8
Postal address Winterthurerstrasse 190, CH-8057 Zürich


Research Activity

       

Publications

How many weights can a cyclic code have? with Minjia Shi, Xiaoxiao Li and Patrick Solé, accepted for publication in IEEE Transactions on Information Theory, 2019. arXiv version

Tensor representation of rank-metric codes with Eimear Byrne, Alberto Ravagnani and John Sheekey, accepted for publication in SIAM Journal on Applied Algebra and Geometry, 2019. arXiv version

Identifying rank-metric codes using Galois group action, to appear in the Oberwolfach Report of the conference “Contemporary Coding Theory” (ID 1912), 2019.

Invariants and inequivalence of linear rank-metric codes with Sven Puchinger and Anna-Lena Horlemann-Trautmann, to appear in IEEE International Symposium on Information Theory, 2019. arXiv version

A complete classification of partial-MDS (maximally recoverable) codes with one global parity, with A.-L. Horlemann-Trautmann, Advances in Mathematics of Communications, 14(1): 69-88, 2020. arXiv version

Maximum weight spectrum codes, with T. L. Alderson, Advances in Mathematics of Communications, 13(1): 101-119, 2019. arXiv version

On the genericity of maximum rank distance and Gabidulin codes, with A.-L. Horlemann-Trautmann, T. Randrianarisoa, and J. Rosenthal, Designs, Codes and Cryptography, 86(2): 341-363, 2018. arXiv version

Hartmann-Tzeng bound and skew cyclic codes of designed Hamming distance, with J. Gómez-Torrecillas, F.J. Lobillo and G. Navarro, Finite Fields and Their Applications, 50: 84-112, 2018. arXiv version

Fuzzy Authentication using Rank Distance, with J. Rosenthal and D. Schipani, In International Worskhop on Communication Security, Lecture Notes in Electrical Engineering, Springer, 97-108, 2017. arXiv version

Preprints

New Lower Bounds for Permutation Codes using Linear Block Codes with Giacomo Micheli, arXiv preprint, arXiv:1901.08858, 2019.

Systematic encoders for generalized Gabidulin codes and the q-analogue of Cauchy matrices, arXiv preprint, arXiv:1805.06706, 2018.

Random construction of partial MDS codes, with A.-L. Horlemann- Trautmann, arXiv preprint, arXiv:1801.05848, 2018.




Presentations

Invited Talks

Technische Universität München (Germany), July 2019.
Rank-metric codes and 3-tensors

SIAM Conference on Applied Algebraic Geometry - Network Coding and Subspace Designs, Bern (Switzerland), July 2019.
Invariants of rank-metric codes via Galois group action

Universidad de Alicante (Spain), June 2019.
Representations of Rank-Metric and Gabidulin Codes

Contermporary Coding Theory - Oberwolfach Workshop 1912 (Germany), March 2019.
Identifying rank-metric codes using Galois group action

Algebraic Coding Theory for Networks, Storage, and Security - Dagstuhl Seminar 18511 (Germany), December 2018.
Parametrizing Systematic Gabidulin Codes and Applications

Technische Universität München (Germany), November 2018.
Encoding schemes for Gabidulin codes with applications

University College Dublin (Ireland), ANT Seminar, October 2018.
Properties of rank metric codes and analogies with the Hamming metric

Universitá di Trento (Italy), Seminari UniTN, June 2018.
The Systematic Encoder for Generalized Gabidulin Codes

Paris 8 (France), Séminaire Protection de l’Information, April 2018.
Analogies between Rank-Metric and Hamming Codes: Old and New Results

Aalto University, Helsinki (Finland), ANTA Seminar, November 2016.
On the Genericity of Maximum Rank Distance and Gabidulin Codes

Other Talks and Seminars

PhD defense - University of Zurich (Switzerland), July 2019.
Algebraic Theory of Rank-Metric Codes: Representations, Invariants and Density Results

The Second Colombian Workshop on Coding Theory, Barranquilla (Colombia), January 2019.
On the Cauchy-like structure of generator matrices for Gabidulin codes

CIMPA Research School and Workshop: Quasi-Cyclic and Related Algebraic Codes, METU (Turkey), August 2018.
Rank Metric vs. Hamming Metric: Evaluation Codes and their Encoders

Latin American Week on Coding and Information, Unicamp, Campinas (Brazil), July 2018.
Generalized Gabidulin Codes and their Generator Matrices (poster)

Combinatorics 2018, Arco (Italy), June 2018.
Maximum Weight Spectrum Codes

Munich Workshop on Coding and Cryptography 2018 (Germany), April 2018.
The Generator Matrix in Standard Form of Gabidulin Codes (poster)

University of Neuchatel (Switzerland), November 2017.
MRD codes: further properties and standard form of Gabidulin codes

Fq13, Gaeta (Italy), June 2017.
On linear Generalized Twisted Gabidulin codes and the existence of new MRD codes

2nd Workshop on Communication Security, Paris (France), April 2017.
Fuzzy Authentication using Rank Distance

University of Neuchatel (Switzerland), September 2016.
On the Genericity of Maximum Rank Distance and Gabidulin Codes

University of Zurich (Switzerland), November 2015.
On Codes over Skew Polynomial Rings

7th Workshop on Coding and Systems, University of Salamanca (Spain), July 2015.
A new approach for List Decoding of BCH and Reed-Solomon Codes