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688 results
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Seminar
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Cryptography
Bad reduction of genus 3 curves with complex multiplication
Speaker : Garcia Lorenzo - Université de Catalogne
Let C be a smooth, absolutely irreducible genus 3 curve over a number field M. Suppose that the Jacobian of C has complex multiplication by a sextic CM-field K. Suppose further that K contains no imaginary quadratic subfield. We give a bound on the primes P of M such that the stable reduction of C at P contains three irreducible components of genus 1. -
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Seminar
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Cryptography
Is there an L(1/4) algorithm for the discrete logarithm problem in algebraic curves?
Speaker : Maike Massierer - LORIA
The function field sieve, an algorithm of subexponential complexity L(1/3) that computes discrete logarithms in finite fields, has recently been improved to an L(1/4) algorithm, and subsequently to a quasi-polynomial time algorithm. Since index calculus algorithms for computing discrete logarithms in Jacobians of algebraic curves are based on very similar concepts and results, the natural question[…] -
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Seminar
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Cryptography
An explicit description of (log) de Rham cohomology over the Witt vector
Speaker : Moritz Minzlaff - Technische Universität Berlin
Motivated by applications to computing zeta functions, we will discuss the log de Rham and de Rham cohomologies of smooth schemes (together with 'nice' divisors) over the Witt vectors. For the former, we will give an explicit description that eventually might lead to improvements to point counting algorithms. Regarding the latter, we will measure "how far" the de Rham cohomology of a curve is from[…] -
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Seminar
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Cryptography
Usage of Modular Techniques for Efficient Computation of Ideal
Speaker : Kazuhiro Yokoyama - Rikkyo University
Modular techniques are widely applied to various algebraic computations. (See [1] for basic modular techniques applied to polynomial computations.) In this talk, we discuss how modular techniques are efficiently applied to computation of various ideal operations such as Gröbner base computation and ideal decompositions. Here, by *modular techniques* we mean techniques using certain projections for[…] -
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Seminar
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Cryptography
Attaques par rencontre au milieu sur l'AES.
Speaker : Patrick Derbez - ENS
Dans cette présentation je décrirai deux types d'attaques par rencontre au milieu sur l'AES et ses dérivés. Le premier type est en réalité une méthode générique pour résoudre des systèmes d'équations reposant sur deux techniques algorithmiques: "la rencontre par le milieu" et "diviser pour régner". Cette méthode a été pensée pour attaquer l'AES lorsque le nombre de paires clair/chiffré disponibles[…] -
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Seminar
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Cryptography
Cryptanalysis of FCSR-based stream ciphers
Speaker : Martin Hell - Lunds University
Feedback with carry shift registers (FCSRs) can be seen as an alternative to LFSRs in stream cipher designs. Since the state is nonlinearly updated, the stream cipher +can be made more resistant to certain attacks than if LFSRs are used. In this talk I will give an overview of FCSR-based stream ciphers and discuss potential +weaknesses. One particular weakness has been exploited to mount efficient[…] -