Description
Novel public-key cryptosystems beyond RSA and ECC are urgently required to ensure long-term security in the era of quantum computing. One alternative to such established schemes is ideal lattice-based cryptography which offers elegant security reductions and versatile cryptographic building blocks such as the ring learning with errors (RLWE) problem. In this talk we will give an overview on current research dealing with the implementation and optimization of efficient ideal lattice-based cryptography on embedded software platforms. We will present results for public key encryption and digital signature schemes on a constrained 8-bit platform (Atmel AVR) and discuss basic building blocks like polynomial multiplication and discrete Gaussian sampling. At the end of the talk we will examine some open problems and challenges in this emerging field of research.
Prochains exposés
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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
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