Carles Padró
Associate Professor in Applied Mathematics
Department of Mathematics
Universitat Politècnica de Catalunya
Barcelona, Catalonia, Spain
Postal address:
Campus Nord UPC, Edifici C3
Universitat Politècnica de Catalunya
C. Jordi Girona, 1-3
08034 Barcelona
Spain
e-mail: carles padro at upc edu
URL: web.mat.upc.edu/carles.padro/
Telephone: +34 93 401 6041
Fax: +34 93 401 5981
Short CV
Born in Manresa, Catalonia, Spain, in 1964. Graduate in Mathematics,
Universitat de Barcelona, 1988. PhD Student and Lecturer in the
Universitat Politècnica de Catalunya from 1988 to 1994.
Doctor in Mathematics, Universitat Politècnica de Catalunya, 1994.
Associate Professor in Applied Mathematics at
Universitat Politècnica de Catalunya from 1997.
Senior Research Fellow in the
Division of Mathematical Sciences,
School of Physical and Mathematical Sciences at
Nanyang Technological University,
Singapore from September 2010 to August 2014
(on leave from the position at UPC Barcelona).
Research
Currently, my research is mainly devoted to Cryptology.
I am interested mainly in problems in Algebra and Combinatorics
related to Secret Sharing.
Recent Publications
-
Kristóf Bérczi,
Boglárka Gehér,
András Imolay,
László Lovász,
Carles Padró,
Tamás Schwarcz.
Interaction between skew-representability,
tensor products, extension properties,
and rank inequalities.
Proceedings of the 2026 Annual ACM-SIAM
Symposium on Discrete Algorithms (SODA)
(2026) 328-354.
DOI.
Available at
arXiv.org
-
M. Bamiloshin,
O. Farràs, C. Padró.
A Note on Extension Properties and Representations of Matroids.
Discrete Applied Mathematics
376 (2025) 270-280.
DOI.
Available at
arXiv.org
-
C. Padró.
Efficient Representation of Lattice Path Matroids.
Annals of Combinatorics
29 (2025) 601-614.
DOI.
Available at
arXiv.org
-
L. Csirmaz, F. Matúš,
C. Padró.
Bipartite secret sharing and staircases.
Discrete Mathematics
347 (2024) 113909.
DOI.
Available at
arXiv.org
Complete list of publications
Recent Seminars and Invited Talks
-
Interaction between skew-representability, tensor products,
extension properties, and rank inequalities.
Algorithmic Aspects of Information Theory.
Online Seminar, March 2026
-
Hierarchical Secret Sharing and
Efficient Representation of Lattice Path Matroids.
Three Talks in Combinatorics.
Universitat de Barcelona, Spain, February 2026
-
From Combinatorics to Secret Sharing and Back.
CWI Cryptology 20th Anniversary Group Fest.
Amsterdam, The Netherlands, September 2025
-
Combinatorics of Secret Sharing Schemes.
Workshop on Secret Sharing Schemes.
Tarragona, Spain, May 2025
Complete list of seminars and invited talks
PhD Students
I have been the (co-)advisor of the PhD Thesis:
-
An Yang.
Secret Sharing Schemes and Polymatroids.
NTU (2014). Co-advisor with Chaoping Xing
-
Oriol Farràs.
Multipartite Secret Sharing Schemes. UPC (2010)
-
Leonor Vázquez.
Sobre la optimización de la eficiencia
de los esquemas de compartición de secretos
(in Spanish, On the Optimization of
the Efficiency of Secret Sharing Schemes).
UPC (2010)
-
Vanesa Daza.
On Linear Secret Sharing Schemes and
Distributed Cryptographic Protocols. UPC (2004).
-
Daniela Ferrero.
Graphs and hypergraphs as interconnection network models.
UPC (1999)
-
Germán Sáez.
Esquemes per a compartir secrets
(in Catalan, Secret Sharing Schemes).
UPC (1998)
PhD Thesis
-
Vulnerabilitat en famílies òptimes de digrafs per al
disseny de xarxes d'interconnexió (in Catalan).
PhD Thesis, UPC (1994).
Advisor: Paz Morillo
Other Research Activities
Complete list of other research activities
Teaching
I have taught many different subjects at UPC:
In the School of Physical and Mathematical Sciences, NTU,
I taught the graduate course
Discrete Methods (MAS-711) from 2011 to 2014
In May-June 2012, I taught a short course entitled
Applications of Combinatorics to
Information-Theoretic Cryptography
at the Central European University, Budapest
Teaching Publications
These pages were created by
Carles Padró on March 6, 2000.
Last Update: March 12, 2026