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Section: New Results

Algebraic Crypanalysis with Side Channels Information

In [6] and [24] (see also the PhD thesis of C. Goyet [1] ), we present new cryptanalyses of symmetric and asymmetric cryptosystems (e.g. AES and ECDSA). These analyses share the same fundamental hypotheses that some information are provided to the attacker by some oracle. In a practical point of view, such an oracle can be represented as a partial side channel attack realized in a first step (e.g. SPA, Fault attacks). The second step of the attack uses algorithms from computer algebra (e.g. Gröbner basis computation, LLL) in order to retrieve the secret key.