Research ArticleOpen accessIn the abstractA New Cryptosystem Based on Factoring and Discrete Logarithm ProblemsE.S. Ismail, M.S.N. HijaziProblem statement: A cryptosystem allows a sender to send any confidential or private message using a receiver’s public key and later the receiver confirms the integrity of the received message using his secret key. Currently the existing cryptosystems were developed based on a single hard problem like factoring, discrete logarithm, residuosity, knapsack or elliptic curve discrete logarithm. Although these schemes … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 18 Jul 2011 · 7,789 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Bit-Serial Multiplier Architecture for Finite Fields Over Galois FieldsHero Modares, Yasser Salem, Rosli Salleh, Majid Talebi ShahgoliProblem statement: A fundamental building block for digital communication is the Public-key cryptography systems. Public-Key Cryptography (PKC) systems can be used to provide secure communications over insecure channels without exchanging a secret key. Implementing Public-Key cryptography systems is a challenge for most application platforms when several factors have to be considered in selecting the implementation platform. Approach: The most popular … …Journal of Computer Science, Vol. 6, Issue 11 · 23 Oct 2010 · 8,436 accessesView PDFCite
Research ArticleOpen accessIn the abstractA New Digital Signature Scheme Based on Factoring and Discrete LogarithmsE.S. Ismail, N.M.F. Tahat, R.R. AhmadProblem statement: A digital signature scheme allows one to sign an electronic message and later the produced signature can be validated by the owner of the message or by any verifier. Most of the existing digital signature schemes were developed based on a single hard problem like factoring, discrete logarithm, residuosity or elliptic curve discrete logarithm problems. Although these schemes … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 7,264 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordNew Collisions to Improve Pollard's Rho Method of Solving the Discrete Logarithm Problem on Elliptic CurvesAmmar Ali NeamahIt is true that different approaches have been utilised to accelerate the computation of discrete logarithm problem on elliptic curves with Pollard's Rho method. However, trapping in cycles fruitless will be obtained by using the random walks with Pollard's Rho. An efficient alternative approach that is based on new collisions which are reliant on the values ai, bi to solve … …Journal of Computer Science, Vol. 11, Issue 9 · 16 Dec 2015 · 7,349 accessesView PDFCite