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Seminar
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Cryptography
Construction p-adique de courbes CM en genre 2
Speaker : Christophe Ritzenthaler - Université de Paris VI
Nous proposons une construction 2-adique de courbes de genre 2 à multiplication complexe, offrant une alternative a l'algorithme sur C développé par Weng. Cette méthode repose sur l'AGM en genre 2. -
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Seminar
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Cryptography
On Fast Algebraic Attacks
Speaker : Frederik Armknecht - Universitat Mannheim
An algebraic attack is a method for cryptanalysis which is based on finding and solving a system of nonlinear equations. Recently, algebraic attacks where found helpful in cryptanalysing stream ciphers based on linear feedback shift registers. The efficiency of these attacks greatly depends on the degree of the nonlinear equations.<br/> At Crypto 2003, Courtois proposed fast algebraic attacks. The[…] -
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Seminar
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Cryptography
Basing Cryptography on Biometrics and Other Noisy Data
Speaker : Yevgeniy Dodis - New York Univeristy
We provide formal definitions and efficient secure techniques for - turning biometric and other noisy data into keys usable for *any* cryptographic application, and - reliably and securely authenticating biometric data. Our techniques apply not just to biometric information, but to any keying material that, unlike traditional cryptographic keys, is (1) not reproducible precisely and (2) not[…] -
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Seminar
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Cryptography
On the Subexponentiality of the Elliptic Curve Discrete Logarithm Problem over Extension Fields
Speaker : Clauss Diem - Universität Essen
The purpose of the talk is to present the following heuristic result.<br/> Let a, b in R with 0 < a < b. Then discrete logarithms in E(F_q^n), where q is a prime power, a log_2(q) \leq n \leq b \log_2(q)$ and E/F_q^n is any elliptic curve over F_q^n, can be solved in probabilistic subexponential time L[3/4].<br/> The algorithm is a variant of a recent index calculus algorithm by Gaudry. The main[…] -
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Seminar
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Cryptography
Constructions in public-key cryptography over matrix groups
Speaker : Ilia Ponomarenko - Université de Saint Petersbourg
A new two-parties key agreement protocol based on identities in groups is proposed. For abelian groups this protocol is, in fact, the Diffie-Hellman one. We also discuss a general scheme producing matrix groups for which our protocol can have a secure realization. -
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Seminar
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Cryptography
Constructing elliptic curves by p-adic methods
Speaker : Peter Stevenhagen - University of Leiden
We will discuss a p-adic method to construct an elliptic curve over a finite field such that the group of rational points over the base field has some prescribed order N. The method uses ideas of Couveignes-Henocq, and is being developed and improved by my PhD student Reinier Broker. -