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Seminar
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Cryptography
Cocks-Pinch curves of embedding degree five to eight and optimal ate pairing computation
Speaker : Simon Masson - Loria, Nancy
Recent algorithmic improvements of discrete logarithm computation in special extension fields threaten the security of pairing-friendly curves used in practice. A possible answer to this delicate situation is to propose alternative curves that are immune to these attacks, without compromising the efficiency of the pairing computation too much. We follow this direction, and focus on embedding[…] -
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Seminar
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Cryptography
Aggregate Cash Systems: A Cryptographic Investigation of Mimblewimble
Speaker : Michele Orru - ENS
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Seminar
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Cryptography
Isogeny-based cryptography from superspecial genus-2 curves
Speaker : Wouter Castryck - KU Leuven
I will report on some first attempts to do isogeny-based cryptography in genus 2. More precisely, we will use isogeny graphs of superspecial principally polarized abelian surfaces over GF(p^2) for constructing variants of Charles, Goren and Lauter's hash function and of Jao and De Feo's SIDH key exchange protocol, both of which use supersingular elliptic curves over GF(p^2). This will be largely[…] -
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Seminar
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Cryptography
Horizontal isogeny graphs of ordinary abelian varieties and the discrete logarithm problem
Speaker : Benjamin WESOLOWSKI - École Polytechnique Federale de Lausanne
An isogeny graph is a graph whose vertices are abelian varieties (typically elliptic curves, or Jacobians of genus 2 hyperelliptic curves) and whose edges are isogenies between them. Such a graph is "horizontal" if all the abelian varieties have the same endomorphism ring. We study the connectivity and the expander properties of these graphs. We use these results, together with a recent algorithm[…] -
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Seminar
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Cryptography
CSIDH: an efficient post-quantum commutative group action
Speaker : Chloé Martindale - Technical University of Eindhoven
CSIDH, or `commutative supersingular isogeny Diffie-Hellman' is a new isogeny-based protocol of Castryck, Lange, Martindale, Panny, and Renes.<br/> The Diffie-Hellman style scheme resulting from the group action allows for public key validation at very little cost, runs reasonably fast in practice, and has public keys of only 64 bytes at a conjectured AES-128 security level, matching NIST’s post[…] -
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Seminar
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Cryptography
New candidate PRFs and their applications
Speaker : Alain Passelègue - Inria
In this talk, I will present new and simple candidate PRFs introduced in a recent work. In this work, we depart from the traditional approaches for building PRFs used in provable security or in applied cryptography by exploring a new space of plausible PRF candidates. Our guiding principle is to maximize simplicity while optimizing complexity measures that are relevant to advanced cryptographic[…] -