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17 articles for “Discrete logarithm problem”

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Review ArticleOpen accessIn the abstractA Comprehensive Review of Post-Quantum Cryptography AlgorithmsSamandeep Kaur, Jaswinder SinghThe development of quantum computing has been rapid, and an existential threat to computational hardness assumptions that underlie today's public-key cryptography has been encountered. This manuscript is a complete and thoroughly organized review of Post-Quantum Cryptography (PQC), discussing the mathematical concepts, complexity, and mechanisms of the algorithms that underpin quantum-safe security infrastructures. Rather than the principles of quantum mechanics, the … …Journal of Computer Science, Vol. 22, Issue 9 · 25 Sep 2026 · 723 accessesView PDFCite
Research ArticleOpen accessIn the abstractImprovement of Menezes-Vanstone Elliptic Curve Cryptosystem Based on Quadratic Bézier Curve TechniqueDua M. Ghadi, Adil AL-RammahiCryptography is one of the most important applications and widely used in our life especially in the information security that needed by many government institutions, banks, communications and others to keep data over internet and other transportations that it is ensure safety of transfers between the sender and the recipient. The most important system in cryptography is public key cryptography … …Journal of Computer Science, Vol. 16, Issue 5 · 4 Jun 2020 · 8,216 accessesView PDFCite
Research ArticleOpen accessIn the abstractSecure Hybrid Mode-Based CryptosystemE. S. Ismail, S. BaharudinProblem statement: A cryptosystem provides two parties; a sender and a receiver to communicate interactively via an insecure channel in which, the sender is able to send any confidential message, document or data in a disguised form to the intended receiver. Upon receiving the disguised message, the receiver converts it to the intelligible message using his secret key. The security … …American Journal of Applied Sciences, Vol. 9, Issue 3 · 12 Jan 2012 · 7,003 accessesView PDFCite
Research ArticleOpen accessIn the abstractNew Cryptosystem Using Multiple Cryptographic AssumptionsE. S. Ismail, M. S. HijaziProblem statement: A cryptosystem is a way for a sender and a receiver to communicate digitally by which the sender can send receiver any confidential or private message by first encrypting it using the receiver’s public key. Upon receiving the encrypted message, the receiver can confirm the originality of the message’s contents using his own secret key. Up to now, … …Journal of Computer Science, Vol. 7, Issue 12 · 15 Oct 2011 · 7,061 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 · 8,431 accessesView PDFCite
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 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 · 7,259 accessesView PDFCite