Research ArticleOpen accessAll words, across the recordAccelerated Search for Gaussian Generator Based on Triple Prime IntegersBoris S. Verkhovsky, Md Shiblee SadikProblem statement: Modern cryptographic algorithms are based on complexity of two problems: Integer factorization of real integers and a Discrete Logarithm Problem (DLP). Approach: The latter problem is even more complicated in the domain of complex integers, where Public Key Cryptosystems (PKC) had an advantage over analogous encryption-decryption protocols in arithmetic of real integers modulo p: The former PKC have … …Journal of Computer Science, Vol. 5, Issue 9 · 30 Sep 2009 · 6,517 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordMathematical Attacks on RSA CryptosystemImad K. Salah, Abdullah Darwish, Saleh OqeiliIn this paper some of the most common attacks against Rivest, Shamir, and Adleman (RSA) cryptosystem are presented. We describe the integer factoring attacks, attacks on the underlying mathematical function, as well as attacks that exploit details in implementations of the algorithm. Algorithms for each type of attacks are developed and analyzed by their complexity, memory requirements and area of … …Journal of Computer Science, Vol. 2, Issue 8 · 31 Aug 2006 · 8,420 accessesView PDFCite