Journée inaugurale groupe sécurité, mardi 23 mars
2010, Clapiers
Research Interests
- Number systems and algorithms for computing the arithmetic operations
- Polynomial and finite field arithmetic
- Non-standard arithmetic
- Complexity of arithmetic algorithms
- Elliptic curve arithmetic and applications in public key cryptography
- Efficient implementation of cryptographic systems
- Computational number theory
- Algorithms for solving diophantine equations
- Fault-tolerant arithmetic
- Side-channel attacks of cryptographic devices and countermeasures
Preprints and Recent Papers
-
Hybrid binary-ternary number system for elliptic curve
cryptosystems, with J. Adikari and V. Dimitrov. (to appear in IEEE Trans. Comp., 2010)
-
Fast ideal cubing in quadratic number and function fields, with
M. Jacobson, Jr. and A. Schmidt. (AMC 2010)
- Strictly chained (p,q)-ary
partitions, with F. Philippe. (to appear in CDM, 2010)
-
Accelerating query-by-humming on GPU, with P. Ferraro,
P. Hanna and T. Izard. (ISMIR 2009)
-
Optimizing elliptic curve scalar multiplication for small
scalars, with P. Giorgi and T. Izard. (SPIE 2009)
My complete list of publications is available here or can be
downloaded as a pdf.
Recent Talks
- 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.