Author(s)

Sonia Mihaela Bogos, Serge Vaudenay

école Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland.

In this article we present a lattice attack done on a NTRU-like scheme introduced by Verkhovsky in [1]. We show how, based on the relation between the public and private key, we can construct an attack which allows any passive adversary to decrypt the encrypted messages. We explain, step by step, how an attacker can construct an equivalent private key and guess what the original plaintext was. Our attack is efficient and provides good experimental results.

Complex Modulus; Primary Residue; Plaintext Pre-Conditioning; Plaintext Attack; Public-Key Scheme; Lattices; LLL Algorithm; Orthogonal Lattices

S. Mihaela Bogos and S. Vaudenay, "Cryptanalysis of the Double-Moduli Cryptosystem," International Journal of Communications, Network and System Sciences, Vol. 5 No. 12, 2012, pp. 834-838. doi: 10.4236/ijcns.2012.512088.