A simple factoring method for 10 digits took twice as long and appeared to increase exponentially in time complexity with every digit. 7 Conclusion The Quadratic Sieve is a simple and viable solution to use when factoring composite integers. It's functional parts are small, interchangeable, and ...
The study of the crypto-security of the RSA algorithm at Sandia National Laboratories has focused attention on factorization of large integers, as no attack of lesser computational complexity has thus far surfaced. This report describes recent experience in the development of a state-of-the-art ...
Solving a system of multivariate quadratic equations (MQ) is an NP-complete problem whose complexity estimates are relevant to many cryptographic scenarios. In some cases it is required in the best known attack; sometimes it is a generic attack (such as for the multi- variate PKCs), and ...
The most prominent property of our cryptosystem is the cost of the decryption, which is of quadratic bit complexity in the length of the public key. Our implementation shows that it is comparably as fast as the encryption time of the RSA cryptosystem with e=2 16 +1 . The security of our...
Recently, inspired by quantum annealing, many solvers specialized for unconstrained binary quadratic programming problems have been developed. For further improvement and application of these solvers, it is important to clarify the differences in their performance for various types of problems. In this st...