4 articles for “integers modulo”

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Research ArticleOpen accessIn the keywordsA Kind of Intersection Graphs on Ideals of a RingA. A. TalebiProblem statement: Let R be a ring. The graph G(R) is the graph whose vertices are nontrivial ideal of R and in which two vertices u, v are joined by an edge, if and only if u ∩ v #{0}. Approach: In this study we study some properties of G(R). Results: We obtain conditions of R such that G(R) is … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 6 Feb 2012 · 7,258 accessesView PDF Cite

Research ArticleOpen accessIn the abstractModules Over Rings of Small Characteristics and Maximality of Data Hiding ratio in CPTE SchemesPhan Trung Huy, Cheonshik Kim, Nguyen Hai ThanhIntroduced CPT scheme as a block-based hiding scheme based on the ring of the integers modulo 2r, which permits to embed r = ⌊log2(k+1)⌋ secret bits in F by changing at most two entries, while the highest number of secret bits in any CPT-based schemes is MSDR2 = ⌊log2(1+k (k+1)/2)⌋, approximately 2r-1. This ratio can be reached approximately in our … …American Journal of Applied Sciences, Vol. 10, Issue 9 · 24 Aug 2013 · 6,706 accessesView PDF Cite

Research ArticleOpen accessIn the abstractAccelerated 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 PDF Cite

Research ArticleOpen accessIn the abstractMeasures on the Quotient Spaces of the IntegersNorris Sookoo, Peter ChamiSK-partitions were introduced by Sharma and Kaushik, who defined distances (metrics) between vectors in terms of partitions of the alphabet set Fq , the set of the ring of integers modulo q. These distances were applied in Coding Theory. The research examined algebraic and topological aspects of SK-partitions and related sets of measures. A lattice of SK-partitions was introduced and … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 7,009 accessesView PDF Cite