Using the Trace Operator to repair the Polynomial Reconstruction based Cryptosystem presented at Eurocrypt 2003
In this paper, we present a modification of the Augot-Finiasz cryptosystem presented at EUROCRYPT 2003. Coron managed to design an attack against the original cryptosystem enabling an attacker to decrypt any intercepted ciphertext efficiently. We introduce here a modification of the scheme which appears to resist to this attack. We furthermore propose parameters thwarting the state of the art attacks.
A Fast Provably Secure Cryptographic Hash Function
We propose a family of fast and provably secure cryptographic hash functions. The security of these functions relies directly on the well-known syndrome decoding problem for linear codes. Attacks on this problem are well identified and their complexity is known. This enables us to study precisely the practical security of the hash functions and propose valid parameters for implementation. Furthermore, the design proposed here is fully scalable, with respect to security, hash size and output rate.