Formal name: Dr. I. Cascudo
Function: Researcher
Email: I.Cascudo@cwi.nl
Telephone +31(0)20 592 4250
Room: M260
Research groups:
(PNA5) Cryptology
Research
My research has so far been focused mainly on the study of asyptotics of linear secret sharing schemes with special properties (strong multiplication, uniformity of shares) which can be applied in different areas of information theoretically secure crypto: multiparty computation, zero knowledge, correlation extraction. This research has a strong mathematical component: the existence results use constructions of good towers of algebraic function fields with additional properties. In a joint work with H.Chen R.Cramer and C.Xing which appeared in CRYPTO 2009 we proved that asymptotically good (in a precisely defined sense) families of such schemes exist for any finite field.
The imposibility results use combinatorics, more concretely techniques that resemble the ones used to prove upper bounds on the relative distance and dimension of linear codes.
Another line of research, which came as a consequence of some of the techniques introduced to study the first, is on the asymptotical bilinear complexity of multiplication in extensions of finite fields.
Informal homepage
Career
| 2010 - 2013 | Scientific staff member/postdoc PNA5 - Cryptology |
| 2009 | Guest PNA5 - Cryptology |
| 2009 - 2010 | Lecturer at interuniversity master program"Iniciacion a la investigacion en matematicas"- Spain |
| 2008 | Guest PNA5 - Cryptology |
| 2007 | Guest PNA5 - Cryptology |
| 2006 - 2010 | PhD student- University of Oviedo, Spain |
| 2005 - 2010 | TA for several courses- University of Oviedo, Spain |
| 2001 - 2005 | BSc-University of Oviedo, Spain |
Selected Awards and Honours
| 2010 | Cum Laude (PhD thesis) |
| 2001 | Gold Medal at National Mathematical Olympiad |
Selected Academic Activities
| 2012 | Reviewer International Association for Cryptologic Research - IACR Theory of Cryptography Conference - [TCC] |
| 2012 | Reviewer IACR Crypto - [CRYPTO] |
| 2012 | Lector Mastermath course Cryptology, fall 2012. |
| 2012 - 2013 | BSc supervisor Universiteit Leiden - [UL] - De Jonge, A. |
| 2011 | Reviewer International Association for Cryptologic Research - IACR Theory of Cryptography Conference - [TCC] |
| 2011 | Referee Series: Contemporary mathematics - [CONM] |
| 2011 | Referee Journal: Finite Fields and their Applications |
| 2011 | Referee Journal: Finite Fields and their Applications |
| 2011 | Referee Journal: Designs, Codes and Cryptography |
| 2011 | MSc thesis examiner Universiteit Leiden - [UL] - Astolfi |
| 2010 | Organizer CWI, Amsterdam, The Netherlands - RISC/Intercity number theory seminar on Crypto, Coding and Geometry |
| 2010 - | Referee Journal: IEEE Transactions on Information Theory |
Selected Publications
| I. Cascudo, R.J.F. Cramer, Ch. Xing. The arithmetic codex. Proceedings of IEEE Information Theory Workshop 2012, 75–79, 2012. |
| I. Cascudo, R.J.F. Cramer, Ch. Xing, A. Yang. Asymptotic Bound for Multiplication Complexity in the Extensions of Small Finite Fields. IEEE Transactions on Information Theory 58, 4930–4935, 2012. |
| I. Cascudo, R.J.F. Cramer, Ch. Xing. The Torsion-limit for algebraic function fields and its application to arithmetic secret sharing. Proceedings of IACR Crypto 2011 (31), Lecture Notes in Computer Science 6841, Santa Barbara, CA, USA , 685–705, 2011. |
| I. Cascudo. On asymptotically good strongly multiplicative linear secret sharing. PhD thesis 2010. |
| I. Cascudo, H. Chen, R.J.F. Cramer, Ch. Xing. Asymptotically good ideal linear secret sharing schemes with strong multiplication over any fixed finite field. Proceedings of Annual IACR CRYPTO 2009 (29), Lecture Notes in Computer Science 5677, Santa Barbara, CA, USA , 466–486, 2009. |
| H. Chen, R.J.F. Cramer, R. de Haan, I. Cascudo. Strongly multiplicative ramp schemes from high degree rational points on curves. lecture notes in computer science, Lecture Notes in Computer Science 4965, Istanbul, Turkey, 451–470, 2008. |
