Upcoming events
Research Interests
- Modular and finite field arithmetic
- Elliptic curves and applications in public key cryptography
- Side-channel attacks and countermeasures for cryptographic devices
- Foundations of number systems
- Arithmetic algorithms and complexity
- Computational number theory
-
Hybrid binary-ternary number system
for elliptic curve cryptosystems,
IEEE Transactions on Computers, 2011 (with J. Adikari and V. Dimitrov)
-
Strictly chained
(p,q)-ary partitions,
Contributions to Discrete Mathematics, 2010 (with F. Philippe)
-
Fast ideal cubing in quadratic number
and function fields,
Advances in Mathematics of Communications, 2010 (with M. J. Jacobson
Jr. and A. Schmidt)
-
Diophantine approximation,
Ostrowski numeration and the
double-base number system, Discrete Mathematics & Theoretical Computer
Science, 2009 (with V. Berthé)
-
The Double-base Number System
and its Application to Elliptic Curve Cryptography, Mathematics of
Computation, 2008 (with V. Dimitrov and P. K. Mishra)
-
Multiplication by a Constant is
Sublinear,
ARITH 18, 2007 (with V. Dimitrov and A. Zakaluzny)
-
Extended Double-Base Number
System with Applications to Elliptic Curve Cryptography, INDOCRYPT 2006
(with C. Doche)
-
Arithmetic Operations in Finite
Fields of Medium Prime Characteristic using the
Lagrange Representation,
IEEE Transactions on Computers, 2006 (with J.-C. Bajard and C. Negre)
-
Efficient and Secure Elliptic
Curve Point Multiplication using Double-Base Chains,
ASIACRYPT 2005 (with V. S. Dimitrov and P. K. Mishra)
-
A Full RNS Implementation of RSA,
IEEE Transactions on Computers, 2004 (with J.-C. Bajard.)
-
Modular Number Systems: Beyond the
Mersenne Family,
Selected Areas in Crytography, SAC 2004 (with J.-C. Bajard and T. Plantard)
Recent Talks
- Efficient finite field and elliptic curve arithmetic [slides]
Summer scholl ECC 2011, Nancy, September 2011.
- How to compute shortest double-base chains? [poster]
Poster, Algorithmic Number Theory Symposium, ANTS IX, Nancy, July 2010.
- The Double-Base Number System [slides]
Seminar, Center for Advanced Security Research Darmstadt (CASED), April 8, 2010.
- Arithmétique et Cryptographie Asymétrique [slides]
Séminaire, Journée d'inauguration du groupe Sécurité du LIRMM, Clapiers, March 23, 2010.
- The Double-Base Number System, Theory, Applications and Open Problems
[slides]
Séminaire, Bipop-Casys, Laboratoire LJK, Grenoble, March 4, 2010.
- Strictly chained (p,q)-ary partitions. [slides]
Invited talk, Alberta Number Theory Day, Calgary, April 30, 2009.
Contact Information
Université Montpellier 2
LIRMM, CNRS
161 rue Ada
F-34095 Montpellier
France
Office: 3.163
Phone: +33 4 67 41 86 18
Fax: +33 4 67 41 85 00
Email: Laurent.Imbert (at) lirmm.fr
My GPG public key
(md5sum=178e9ea4a95dfbe50b2a561cb59039cd)
