References
- [1] AOKI, K.-KIDA, Y.-SHIMOYAMA, T.-UEDA, H.: GNFS factoring statisticsof RSA-100, 110, . . . , 150, April 16, 2004, http://eprint.iacr.org/2004/095.pdf.
- [2] COMMEINE, A.-SEMAEV, I.: An algorithm to solve the discrete logarithm problemwith the number field sieve, in: Public Key Cryptography-PKC ’06 (M. Yung et al., eds.), 9th International Conference on Theory and Practice of Public-Key Cryptography, New York, NY, USA, 2006, Lecture Notes in Comput. Sci., Vol. 3958, Springer-Verlag, Berlin, 2006, pp. 174-190.
- [3] JOUX, A.-LERCIER, R.: Improvements to the general number field sieve for discretelogarithms in prime fields: a comparison with the Gaussian integer method, Math. Comp. 72 (2003), 953-967.10.1090/S0025-5718-02-01482-5
- [4] JOUX, A.-LERCIER, R.-SMART, N.-VERCAUTEREN, F.: The number field sievein the medium prime case, in: Advances in Cryptology-CRYPTO ’06 (C. Dwork, ed.), 26th Annual International Cryptology Conference, Santa Barbara, California, USA, 2006, Lecture Notes in Comput. Sci., Vol. 4117, Springer-Verlag, Berlin, 2006, pp. 326-344.
- [5] The Development of the Number Field Sieve (A. K. Lenstra, H. W. Lenstra, Jr., eds.), Lecture Notes in Math., Vol. 1554, Springer-Verlag, Berlin, 1993.
- [6] LENSTRA, A. K.-LENSTRA, H. W., JR.-MANASSE, M. S.-POLLARD, J. M.: Thenumber field sieve, in: The Development of the Number Field Sieve (A. K. Lenstra, H. W. Lenstra, Jr., eds.), Lecture Notes in Math., Vol. 1554, Springer-Verlag, Berlin, 1993, pp. 11-42.
- [7] LENSTRA, A. K.-VERHEUL, E. R.: An overview of the XTR public key system, in: Public-Key Cryptography and Computational Number Theory (K. Alster et al., eds.) Proc. of the Internat. Conference Organized by the Stefan Banach Internat. Math. Center, Warsaw, Poland, 2000, de Gruyter, Berlin, 2001, pp. 151-180.
- [8] POLLARD, J.: The lattice sieve, in: The Development of the Number Field Sieve (A. K. Lenstra et al., eds.), Lecture Notes in Math., Vol. 1554, Springer-Verlag, Berlin, 1993, pp. 43-49.
- [9] SCHIROKAUER, O.: Virtual logarithms, J. Algorithms 57 (2005), 140-147.10.1016/j.jalgor.2004.11.004
- [10] ZAJAC, P.: Generalized line sieve algorithm, in: Proc. of ELITECH ’07, STU Bratislava, 2007.
- [11] ZAJAC, P.: Remarks on the NFS complexity, Tatra Mt. Math. Publ. 41 (2008), 79-91.
- [12] ZAJAC, P.: Discrete Logarithms and Degree Six Numbere Field Sieve: A practical Approach. VDM Verlag Dr. M¨uller, Saarbrücken, 2009.