A. J. Menezes, P. C. Van-oorschot, and S. A. Vanstone, Handbook of applied cryptography, 1997.
DOI : 10.1201/9781439821916

R. Rivest, A. Shamir, and L. Adleman, A method for obtaining digital signatures and public-key cryptosystems, Communications of the ACM, vol.21, issue.2, pp.120-126, 1978.
DOI : 10.1145/359340.359342

W. Diffie and M. E. Hellman, New directions in cryptography, IEEE Transactions on Information Theory, vol.22, issue.6, pp.22644-654, 1976.
DOI : 10.1109/TIT.1976.1055638

D. Hankerson, A. Menezes, and S. Vanstone, Guide to Elliptic Curve Cryptography, 2004.

P. L. Montgomery, Modular multiplication without trial division, Mathematics of Computation, vol.44, issue.170, pp.519-521, 1985.
DOI : 10.1090/S0025-5718-1985-0777282-X

P. Barrett, Implementing the Rivest Shamir and Adleman Public Key Encryption Algorithm on a Standard Digital Signal Processor, Advances in Cryptology ? CRYPTO '86, pp.311-326, 1986.
DOI : 10.1007/3-540-47721-7_24

R. Crandall, Method and apparatus for public key exchange in a cryptographic system, U.S, 1992.

J. Solinas, Generalized mersenne numbers Research Report CORR-99-39, Center for Applied Cryptographic Research, 1999.

J. Chung and A. Hasan, More Generalized Mersenne Numbers, Selected Areas in Cryptography ? SAC 2003, 2003.
DOI : 10.1007/978-3-540-24654-1_24

J. Bajard, L. Imbert, and T. Plantard, Modular Number Systems: Beyond the Mersenne Family, LIRMM ? CNRS, 161 rue Ada, 2004.
DOI : 10.1007/978-3-540-30564-4_11

URL : https://hal.archives-ouvertes.fr/lirmm-00109208

L. Lovász, An Algorithmic Theory of Numbers, Graphs and Convexity, CBMS- NSF Regional Conference Series in Applied Mathematics. SIAM Publications, 1986.
DOI : 10.1137/1.9781611970203

D. Micciancio and S. Goldwasser, Complexity of Lattice Problems, A Cryptographic Perspective, 2002.

C. Dwork, Lattices and their applications to cryptography. Lecture notes, 1998.

A. K. Lenstra, H. W. Jr, L. Lenstra, and . Lovász, Factoring polynomials with rational coefficients, Mathematische Annalen, vol.32, issue.4, pp.515-534, 1982.
DOI : 10.1007/BF01457454

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=