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731 results
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Seminar
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Cryptography
L1 a new quasi-linear LLL algorithm
Speaker : Andy Novocin - ENS Lyon
The LLL lattice reduction algorithm of 1982 has proven to be useful in a wide variety of fields. It can be used to approximately solve computationally difficult lattice-based problems, such as the shortest vector problem, in polynomial time. We present a new algorithm for lattice reduction which is the first algorithm to have a complexity bound which is both polynomial and quasi-linear bound in[…] -
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Seminar
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Cryptography
Sélection polynomiale pour NFS
Speaker : Paul Zimmermann - LORIA
Le problème de la sélection polynomiale pour le crible algébrique consiste à trouver deux polynômes irréductibles f(x) et g(x) à coefficients entiers ayant une racine commune modulo le nombre N à factoriser. On décrira en détail l'algorithme proposé par Kleinjung en 2008, son implantation dans CADO-NFS, et on donnera des exemples de polynômes obtenus avec cet algorithme (RSA704, B200, RSA896). -
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Seminar
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Cryptography
Cracking Passwords with Time-memory Trade-offs
Speaker : Gildas Avoine - IRISA
Cryptanalytic time-memory trade-offs were introduced by Hellman in 1980 in order to perform key-recovery attacks on cryptosystems. A major advance was presented at Crypto 2003 by Oechslin, with the rainbow tables that outperform Hellman's seminal work. After introducing the cryptanalytic time-memory trade-offs, we will present in this talk a new variant of tables, known as fingerprint tables,[…] -
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Seminar
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Cryptography
Support for p-adics in Sage: present and future
Speaker : David Roe - Harvard
I will describe the current capabilities within Sage for arithmetic in p-adic rings and fields, as well as support for polynomials, matrices, hyperelliptic curves and p-adic L-functions. I will then discuss plans for improvements to these areas. -
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Seminar
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Cryptography
Intégration numérique prouvée pour la théorie des nombres
Speaker : Pascal Molin - Université Bordeaux I
La théorie des nombres rend nécessaire le calcul de certaines intégrales à des précisions permettant un travail arithmétique. On présentera une méthode à la fois simple, rapide et prouvée pour y parvenir. Il existe depuis une vingtaine d'années un paradigme d'intégration numérique, dit des fonctions doublement exponentielles, qui dans la pratique converge très rapidement pour des fonctions[…] -
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Seminar
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Cryptography
Privacy, incentives, and truthfulness
Speaker : David Xiao - LRI
Imagine the government is taking a census, and you as an individual are worried that by participating, private information about you (such as your address, age, ethnicity, etc.) may eventually be revealed when the government publishes the census data. How can the government assure you that by using an appropriate release mechanism that "sanitizes" census data, no individual's privacy will be[…] -