Description
In this talk I will introduce a new kind of attack on cryptosystems which can be represented by an (unknown) low degree polynomial with tweakable public variables such as a plaintext or IV and fixed secret variables such as a key. Its complexity is exponential in the degree but only polynomial in the key size, and it was successfully applied to several concrete schemes. In particular, for Trivium with 672 initialization rounds, it reduces the complexity of the best known attack from a barely practical 2^{55} to a trivial 2^{19}, which can recover the full key in less than a second on a single PC.
Next sessions
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Algorithms for post-quantum commutative group actions
Speaker : 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
Speaker : 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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