Cryptanalysis of the Sidelnikov Cryptosystem

We present a structural attack against the Sidelnikov cryptosystem [8]. The attack creates a private key from a given public key. Its running time is subexponential and is effective if the parameters of the Reed-Muller code allow for efficient sampling of minimum weight codewords. For example, the length 2048, 3rd-order Reed-Muller code as proposed in [8] takes roughly an hour to break on a stock PC using the presented method.

• Type: Conference
• Year: 2007
• Where: EUROCRYPT
• Authors: Lorenz Minder, Amin Shokrollahi
• Keywords: Cryptography, EUROCRYPT 2007, Minimum Weight Codewords, Reed-Muller Code, Reed-Muller Code Allow