Kleinjung, T., et al.: Factorization of a 768-bit RSA modulus. In: Rabin, T. (ed.) CRYPTO 2010. LNCS, vol. 6223, pp. 333–350. Springer, Heidelberg (2010)Kleinjung, T., Aoki, K., Franke, J., Lenstra, A.K., T
http://eprint.iacr.org/2010/006.pdf
#Run experiments with modulus_bit_length set to 200.sage gifp.sage 200 0.1 0.7 0.1 0.15 4 If the roots are successfully found, it returns 1; otherwise, it returns 0. The corresponding time for computing LLL and computing Grobner basis can be found in thegifp.logfile. ...
Factorization of a 512-bit RSA Modulus - Cavallar, Dodson, et al. - 2000 () Citation Context ...n X.509 and PGP ones. 6Modulus sizes. The cumulative sizes of the moduli in the set of 6 386 984 n-values are depicted in Figure 3. Although 512-bit and 768-bit RSA moduli were ...
On August 22, 1999, we completed the factorization of the 512--bit 155-digitnumber RSA-155 with the help of the Number Field Sieve factoring method (NFS). This is a new record for factoring general numbers. Moreover, 512-bit RSA keys are frequently used for the protection of electronic ...
The modulus of the RPrime RSA, n, is the public key whose size determines the security of the entire cryptosystem: The larger the modulus, the securer the cryptosystem. In this study, we shall show the way to factorize small modulus of the RPrime RSA using two factorization algorithms, ...
Our algorithm has the advantage when the factors of a semi-prime are congruent to 1 modulus 4. Illustrations of our method for real-world applications, such as factorization of the 768-bit number RSA-768, are established. Further, the computational viabilities, despite the mathematical ...
Our algorithm has the advantage when the factors of a semi-prime are congruent to 1 modulus 4. Illustrations of our method for real-world applications, such as factorization of the 768-bit number RSA-768, are established. Further, the computational viabilities, despite the mathematical ...