Rounding and Chaining LLL: Finding Faster Small Roots of Univariate Polynomial Congruences, IACR Cryptology ePrint Archive, 2014. ,
DOI : 10.1007/978-3-642-54631-0_11
URL : https://hal.archives-ouvertes.fr/hal-00926902
Cryptanalysis of RSA with Private Key d Less than N 0.292, IEEE Transactions on Information Theory, vol.46, issue.4, p.1339, 2000. ,
DOI : 10.1007/3-540-48910-X_1
Factoring N = p r q for Large r, Advances in Cryptology -Proc. CRYPTO '99, pp.326-337, 1999. ,
DOI : 10.1007/3-540-48405-1_21
A Tool Kit for Finding Small Roots of Bivariate Polynomials over the Integers, Advances in Cryptology -Proc. EUROCRYPT '05, pp.251-267, 2005. ,
DOI : 10.1007/11426639_15
Finding a Small Root of a Bivariate Integer Equation; Factoring with High Bits Known, Advances in Cryptology -Proc. EUROCRYPT '96, pp.178-189, 1996. ,
DOI : 10.1007/3-540-68339-9_16
Finding a Small Root of a Univariate Modular Equation, Advances in Cryptology -Proc. EUROCRYPT '96, pp.155-165233, 1996. ,
DOI : 10.1007/3-540-68339-9_14
Cryptanalysis of the RSA schemes with short secret exponent from asiacrypt '99 [HG97] Nick Howgrave-Graham. Finding small roots of univariate modular equations revisited, Advances in Cryptology -ASIACRYPT 2000, 6th International Conference on the Theory and Application of Cryptology and Information Security Proceedings Cryptography and Coding ? Proc. IMA '97, pp.14-29, 1997. ,
A Polynomial Time Attack on RSA with Private CRT-Exponents Smaller Than N 0.073, Advances in Cryptology -CRYPTO 2007, 27th Annual International Cryptology Conference ProceedingsLen87] H.W. Lenstra. Factoring integers with elliptic curves, pp.395-411649, 1987. ,
DOI : 10.1007/978-3-540-74143-5_22
A generalized takagi-cryptosystem with a modulus of the form p r q s, Progress in Cryptology -INDOCRYPT 2000, First International Conference in Cryptology in India Proceedings, pp.283-294, 2000. ,
Factoring polynomials with rational coefficients, Mathematische Annalen, vol.32, issue.4, pp.513-534, 1982. ,
DOI : 10.1007/BF01457454
Computing the RSA Secret Key Is Deterministic Polynomial Time Equivalent to Factoring, Advances in Cryptology -CRYPTO 2004, 24th Annual International CryptologyConference Proceedings, pp.213-219874, 2004. ,
DOI : 10.1007/978-3-540-28628-8_13
An LLL-reduction algorithm with quasi-linear time complexity, Proceedings of the 43rd annual ACM symposium on Theory of computing, STOC '11, pp.403-412, 2011. ,
DOI : 10.1145/1993636.1993691
URL : https://hal.archives-ouvertes.fr/ensl-00534899
Fast RSA-type cryptosystems using n-adic expansion, Advances in Cryptology - CRYPTO '97 17th Annual International Cryptology Conference Proceedings, pp.372-384, 1997. ,
DOI : 10.1007/BFb0052249
Fast RSA-type cryptosystem modulo p k q, Advances in Cryptology -CRYPTO '98, 18th Annual International Cryptology Conference Proceedings, pp.318-326, 1998. ,
DOI : 10.1007/BFb0055738