Carles Padró

Associate Professor in Applied Mathematics
Department of Applied Mathematics IV
Universitat Politècnica de Catalunya

Postal address:
Departament de Matemàtica Aplicada IV
Universitat Politècnica de Catalunya
C. Jordi Girona, 1-3
08034 Barcelona
Catalonia, Spain

e-mail: cpadro at ma4 upc edu
URL: http://www-ma4.upc.edu/~cpadro
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 the Department of Applied Mathematics IV of the Universitat Politècnica de Catalunya from 1997.

Research

Currently, my research is mainly devoted to Cryptology. I belong to the Research Group on Mathematics Applied to Cryptography. I am interested mainly in problems in Algebra and Combinatorics related to Unconditional Security in Cryptography, Distributed Cryptography and Public Key Cryptography.

I was a member of the Research Group on Graph Theory and Combinatorics of our department from 1988 to 2001. I began my research activities in this group as a PhD student. My main interest in this area was the application of Graph Theory to the design of Interconnection Networks.

Manuscripts and Preprints

• O. Farràs, C. Padró. Ideal Hierarchical Secret Sharing Schemes. Full version of the paper that appeared in TCC 2010. Updated on October 1, 2009.
• R. Cramer, E. Kiltz, C. Padró. A Note on Secure Computation of the Moore-Penrose Pseudoinverse and Its Application to Secure Linear Algebra. Full version of the paper that appeared in Crypto 2007 (in preparation).
• O. Farràs, J. Martí-Farré, C. Padró. Ideal Multipartite Secret Sharing Schemes. Full version of the paper that appeared in Eurocrypt 2007.
• J. Martí-Farré, C. Padró. On Secret Sharing Schemes, Matroids and Polymatroids. Full version of the paper that appeared in TCC 2007. Updated on June 30, 2009.

Publications

List of my main publications

Recent Seminars and Invited Talks

• Ideal Hierarchical Secret Sharing Schemes. Joint Mathematical Conference CSASC 2010. Prague, Czech Republic, January 2010.
• On the Optimization of Bipartite Secret Sharing Schemes. Seminar of the Division of Mathematical Sciences. Nanyang Technological University, Singapore, January 2010.
• Key Predistribution Schemes and One-Time Broadcast Encryption Schemes from Algebraic Geometry Codes. Seminar of the Division of Mathematical Sciences. Nanyang Technological University, Singapore, January 2010.
• On the Optimization of Secret Sharing Schemes for General Access Structures. Workshop on the Applications of Matroid Theory and Combinatorial Optimization to Information and Coding Theory. Banff International Research Station (BIRS), Banff, Alberta, Canada, August 2009.
• Algebraic manipulation detection codes. Seminar of the Division of Mathematical Sciences. Nanyang Technological University, Singapore, April 2009.

Complete list of seminars and invited talks

PhD Students

I have been the advisor of the PhD Thesis:

1. Vanesa Daza. On Linear Secret Sharing Schemes and Distributed Cryptographic Protocols. UPC (2004).
2. Daniela Ferrero. Graphs and hypergraphs as interconnection network models. UPC (1999).
3. 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, Technical University of Catalonia (1994). Advisor: Paz Morillo.

Other Research Activities

• Member of the Editorial Review Board of International Journal of Computer Mathematics, Section A.
• Co-Organizer of the Summer School on Provable Security. Barcelona, Spain, 2009.
• Co-Organizer of the International School on Mathematical Cryptology 2008: Mathematical Foundations of Cryptology. Barcelona, Spain, 2008.
• General Chair of the IACR International Workshop on Practice and Theory in Public Key Cryptography, PKC 2008. Barcelona, Spain, 2008.
• Member of the Program Committee of the Conferences:
  • Selected Areas in Cryptography, SAC 2010. University of Waterloo, Canada, 2010.
  • The Second International Workshop on Multimedia, Information Privacy and Intelligent Computing Systems MPIS'09 . Jeju Island, Korea, 2009.
  • International Conference on Security and Cryptography, SECRYPT 2009. Milan, Italy, 2009.
  • International Conference on Security and Cryptography, SECRYPT 2008. Porto, Portugal, 2008.
  • X Reunión Española sobre Criptología y Seguridad de la Información RECSI 2008. Salamanca, Spain, 2008.
  • 11th Information Security Conference, ISC 2008. Taipei, Taiwan, 2008.

Complete list of other research activities

Teaching

Els estudiants d'Equacions Diferencials de l'ETSETB trobareu el material de l'assignatura aquí

In the academic year 2009-2010, I teach Differential Equations in the Telecommunication Engineering School.

I have taught other subjects:

• in the Faculty of Mathematics and Statistics: Graph Theory, Differential Geometry 1, Differential Geometry 2, Distributed Cryptography, and Topics on Mathematics for Engineering (Introduction to Fourier Analysis).
• in the Telecommunication Engineering School: Calculus, Linear Algebra, Vector Analysis, and Mathematics for Telecommunication.
• in the Castelldefels School of Technology (EPSC): Mathematical Aspects of Telecommunication (Basics on Cryptology).

Teaching Publications

• J. Martí-Farré, C. Padró. Problemes d'Àlgebra Lineal (in Catalan).
• J. Fàbrega, C. Padró. Problemes de Teoria de Grafs (in Catalan).
• C. Padró, G. Sáez. Pràctiques d'Àlgebra Lineal: mètodes numèrics per a resoldre sistemes d'equacions lineals (in Catalan).
• I. Gracia, C. Padró. Apunts de l'assignatura Càlcul Infinitesimal de l'ETSETB (in Catalan).

These pages were created by Carles Padró on March 6, 2000.

Last Update: February 2, 2010