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7 articles for “scalar multiplication”
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Research ArticleOpen accessPhrase in the titleAn Improved Binary Method for Scalar Multiplication in Elliptic Curve CryptographyM. A. Mohamed, M.R. Md Said, K.A. Mohd Atan, Z. Ahmad ZulkarnainProblem statement: Until recently, many addition chain techniques constructed to support scalar multiplication operation have been proposed tailored to limited computational resources. In securing the efficiency of ECC point operation, the combinations of the two basic operations, point addition and doubling are mostly implemented. Using binary method, the operation of doubling depends solely on the length of binary representation itself, … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,707 accessesView PDFCite
Literature ReviewOpen accessIn the keywordsA Review on Heuristics for Addition Chain Problem: Towards Efficient Public Key CryptosystemsAdamu Muhammad Noma, Abdullah Muhammed, Mohamad Afendee Mohamed, Zuriati Ahmad ZulkarnainField exponentiation and scalar multiplication are the pillars of and the most computationally expensive operations in the public key cryptosystems. Optimizing the operation is the key to the efficiency of the systems. Analogous to the optimization is solving addition chain problem. In this study, we survey from the onset of the addition chain problem to the state-of-the-art heuristics for optimizing … …Journal of Computer Science, Vol. 13, Issue 8 · 1 Jun 2017 · 8,163 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOptimizing {0, 1, 3}-NAF Recoding Algorithm Using Block-Method Technique in Elliptic Curve CryptosystemMohsen Bafandehkar, Sharifah Md Yasin, Ramlan MahmodThe most expensive and time-consuming operation in Elliptic curve cryptosystem is scalar multiplication operation. Optimization of scalar multiplication will substantially enhance the ECC performance. Scalar multiplication can be improved by using an enhanced scalar recoding algorithm that can decrease the number of operations in the scalar representation process. The objective of this research is to introduce an efficient design and … …Journal of Computer Science, Vol. 12, Issue 11 · 30 Dec 2016 · 6,672 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA 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 abstractERROR DETECTION SCHEMES FOR FINITE FIELD MULTIPLIERSB. Sargunam, R. DhanasekaranFinite field multipliers are widely used in the field of cryptography for the purpose of scalar multiplication. The outputs of the finite field multipliers may consist of errors due to certain natural radiations which further leads to the failure of the cryptosystems. Here two Concurrent Error Detection (CED) schemes namely time redundancy and modular inversion based error detection schemes for … …American Journal of Applied Sciences, Vol. 11, Issue 1 · 11 Dec 2013 · 6,913 accessesView PDFCite
Research ArticleOpen accessIn the abstractFuzzy Orders in the Real LineLemnaouar Zedam, Abdelkader StoutiProblem statement: In this study, we characterize a subcategory of fuzzy orders which were compatible with the usual addition and the multiplication by scalar on the real line R. Results and Conclusion: All possible forms of fuzzy orders of this subcategory are given. …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 23 Apr 2012 · 7,079 accessesView PDFCite
Research ArticleOpen accessIn the abstractReconfigurable Elliptic Curve Crypto-Hardware Over the Galois Field GF(2163)Mohamed Abdelkader Bencherif, Hamid Bessalah, Abderrezak GuessoumProblem statement: In the last decade, many hardware designs of elliptic curves cryptography have been developed, aiming to accelerate the scalar multiplication process, mainly those based on the Field Programmable Gate Arrays (FPGA), the major issue concerned the ability of embedding this strategic and strong algorithm in a very few hardware. That is, finding an optimal solution to the one … …American Journal of Applied Sciences, Vol. 6, Issue 8 · 31 Aug 2009 · 7,346 accessesView PDFCite