2nd Joint Meeting Brazil-Italy in Mathematics
2nd Joint Meeting Brazil-Italy in Mathematics
Embedded Files
Finite Geometry, Galois Fields and Their Impact on Contemporary Coding Theory
Finite Geometry, Galois Fields and Their Impact on Contemporary Coding Theory
Aims & Scope
Finite geometry and finite fields play a central role in contemporary coding theory, providing powerful tools for the construction and analysis of error-correcting codes. In particular, Galois geometries offer a natural framework in which the algebraic and combinatorial properties of codes can be studied and exploited.
This special session aims to explore these deep connections by highlighting recent developments and by providing a contemporary perspective on their role in the advancement of coding theory and combinatorics. A central goal is to show how these structures serve not merely as technical tools, but as a structural setting that connects different families of codes, including linear codes, rank-metric codes and subspace codes, as well as to illustrate how geometric methods are linked to applications in data storage and network coding.
This session, which will be held in Messina (Italy) as part of the conference 2nd Joint Meeting Brazil-Italy in Mathematics, co-organized by the Sociedade Brasileira de Matemática (SBM), the Unione Matematica Italiana (UMI), the Sociedade Brasileira de Matematica Aplicada e Computacional (SBMAC) and the Società Italiana di Matematica Applicata e Industriale (SIMAI). The 1st Brazil-Italy Joint Meeting in Mathematics was held from the 29th of August to the 2nd of September, 2016 at the Instituto de Matemática Pura e Aplicada (Rio de Janeiro).
We wish to invite contributions presenting recent results and developments, including but not limited to the following topics:
Algebraic geometry codes
Algebraic varieties over finite fields
Galois geometries and projective spaces over finite fields
Graph theory methods in coding theory
Linear codes and geometric constructions
Rank-metric codes and subspace codes
Related algebraic and combinatorial structures
Invited Speakers
Invited Speakers
V. Astore (Inria)
H. Borges (Universidade de Sao Paulo)
M. Bonini (Aalborg Universitet)
J. Capaverde (Universidade Federal do Rio Grande do Sul)
J. De Beule (Vrije Universiteit Brussel)
A. Giannoni (Università di Napoli Federico II)
F. Pavese (Politecnico di Bari)
P. Santonastaso (Università di Napoli Federico II)
V. Siconolfi (Politecnico di Bari)
F. do Carmo Silva (Universidade Estadual de Campinas)
P. Speziali (Universidade Estadual de Campinas)
G. Zini (Università degli Studi di Modena e Reggio Emilia)
Session Organizers
Daniela Alves de Oliveira, Universidade Federal de Minas Gerais , Brazil.
danielaalvesoliveira@gmail.com
Giovanni Giuseppe Grimaldi, Università degli Studi di Perugia, Italy.
giovannigiuseppe.grimaldi@unipg.it
Giovanni Longobardi, Università degli Studi di Napoli Federico II, Italy.
giovanni.longobardi@unina.it
Page updated
Google Sites
Report abuse