Séminaire de Cryptographie

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Adi Shamir

Cube Attacks on Tweakable Black Box Polynomials

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.