Description
QKD is a landmark of how quantum resources allow us to implement cryptographic
functionalities with a level of security that is not achievable only with classical resources.
However, key agreement is not sufficient to implement all functionalities of interest, and it is
well-known that they cannot be implemented with perfect security, even if we have access
to quantum resources. Thus, computational assumptions are necessary even in the quantum
world.
In this talk, I will cover recent examples that even in the computational setting, quantum
resources may give an advantage in the required assumption. More concretely, I will talk
about quantum implementations of multi-party computation and public-key encryption
under weaker computational assumptions than their classical counterparts. Moreover, I will
discuss new cryptographic assumptions that are inherently quantum, which have changed
the landscape of the feasibility of cryptographic primitives in the quantum world.
Infos pratiques
Prochains exposés
-
On the average hardness of SIVP for module lattices of fixed rank
Orateur : Radu Toma - Sorbonne Université
In joint work with Koen de Boer, Aurel Page, and Benjamin Wesolowski, we study the hardness of the approximate Shortest Independent Vectors Problem (SIVP) for random module lattices. We use here a natural notion of randomness as defined originally by Siegel through Haar measures. By proving a reduction, we show it is essentially as hard as the problem for arbitrary instances. While this was[…] -
Lightweight (AND, XOR) Implementations of Large-Degree S-boxes
Orateur : Marie Bolzer - LORIA
The problem of finding a minimal circuit to implement a given function is one of the oldest in electronics. In cryptography, the focus is on small functions, especially on S-boxes which are classically the only non-linear functions in iterated block ciphers. In this work, we propose new ad-hoc automatic tools to look for lightweight implementations of non-linear functions on up to 5 variables for[…]-
Cryptography
-
Symmetrical primitive
-
Implementation of cryptographic algorithm
-
-
Algorithms for post-quantum commutative group actions
Orateur : Marc Houben - Inria Bordeaux
At the historical foundation of isogeny-based cryptography lies a scheme known as CRS; a key exchange protocol based on class group actions on elliptic curves. Along with more efficient variants, such as CSIDH, this framework has emerged as a powerful building block for the construction of advanced post-quantum cryptographic primitives. Unfortunately, all protocols in this line of work are[…] -
Endomorphisms via Splittings
Orateur : Min-Yi Shen - No Affiliation
One of the fundamental hardness assumptions underlying isogeny-based cryptography is the problem of finding a non-trivial endomorphism of a given supersingular elliptic curve. In this talk, we show that the problem is related to the problem of finding a splitting of a principally polarised superspecial abelian surface. In particular, we provide formal security reductions and a proof-of-concept[…]-
Cryptography
-