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42 results for “Elliptic curve”
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Research ArticleOpen accessPhrase in the titleHARDWARE REALIZATION OF HIGH SPEED ELLIPTIC CURVE POINT MULTIPLICATION USING PRECOMPUTATION OVER GF(P)N. Shylashree, V. SridharTwo new theoretical approaches for the hardware realization of high speed elliptic curve point multiplication over a prime field (GF(p)) are presented. These hardware implementations use multiple units of elliptic curve point doublers, point adders and multiplexers. The modular hardware approach used here provides high speed and scalability. …Journal of Computer Science, Vol. 10, Issue 7 · 4 Feb 2014 · 6,611 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleCERTIFICATE AUTHORITY SCHEMES USING ELLIPTIC CURVE CRYPTOGRAPHY, RSA AND THEIR VARIANTS-SIMULATION USING NS2S. Shivkumar, G. UmamaheswariA PKI (public key infrastructure) enables users of a basically unsecure public network to securely and privately exchange data through the use of a public and a private cryptographic key pair that is obtained and shared through a trusted authority. The public key infrastructure provides for a digital certificate that can identify an individual or an organization and directory services … …American Journal of Applied Sciences, Vol. 11, Issue 2 · 18 Dec 2013 · 7,379 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleDevelopment of a New Elliptic Curve Cryptosystem with Factoring ProblemE. S. Ismail, M. S. HijaziProblem statement: The security of elliptic curve cryptosystems are based on elliptic curve discrete logarithm problem (ECDLP). However, if an attacker finds a solution to ECDLP, the elliptic curve-based systems will no longer be secure. Approach: To improve this, we develop a new elliptic curve cryptosystem using one of the old/novel problem in computational number theory; factoring problem (FAC). Specifically, … …American Journal of Applied Sciences, Vol. 9, Issue 9 · 2 Aug 2012 · 6,788 accessesView PDFCite
Research ArticleOpen accessPhrase in the titlePolynomial Interpolation in the Elliptic Curve CryptosystemLiew Khang Jie, Hailiza KamarulhailiProblem statement: In this research, we incorporate the polynomial interpolation method in the discrete logarithm problem based cryptosystem which is the elliptic curve cryptosystem. Approach: In this study, the polynomial interpolation method to be focused is the Lagrange polynomial interpolation which is the simplest polynomial interpolation method. This method will be incorporated in the encryption algorithm of the elliptic curve … …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 28 Oct 2011 · 7,828 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleReconfigurable 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
Research ArticleOpen accessPhrase in the titleSecure Antnet Routing Algorithm for Scalable Adhoc Networks Using Elliptic Curve CryptographyV. Vijayalakshmi, T. G. PalaniveluThe secure end-to-end route discovery in the decentralized Mobile Adhoc Networks (MANETs) should have to meet the requirements of prevention of DoS attacks on data traffic, should be adaptive and fault tolerant and must have high speed, low energy overhead and scalability for future development. In this research a secure routing using antnet mechanism and mutual authentication using Elliptic Curve … …Journal of Computer Science, Vol. 3, Issue 12 · 31 Dec 2007 · 6,951 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleHighly Efficient Elliptic Curve Crypto-Processor with Parallel GF(2m) Field MultipliersTurki F. Al-Somani, M. K. Ibrahim, Adnan GutubThis study presents a high performance GF(2m) Elliptic Curve Crypto-processor architecture. The proposed architecture exploits parallelism at the projective coordinate level to perform parallel field multiplications. In the proposed architecture, normal basis representation is used. Comparisons between the Projective, Jacobian and Mixed coordinate systems using sequential and parallel designs are presented. Results show that parallel designs using normal basis gives … …Journal of Computer Science, Vol. 2, Issue 5 · 31 May 2006 · 6,874 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleKey Exchange Protocol in Elliptic Curve Cryptography with No Public PointK. Kaabneh, H. Al-BdourIn recent years some cryptographic algorithms have gained popularity due to properties that make them suitable for use in constrained environment like mobile information appliances, where computing resources and power availability are limited. One of these cryptosystems is Elliptic curve which requires less computational power, memory and communication bandwidth compared to other cryptosystem. This makes the elliptic curve cryptography to … …American Journal of Applied Sciences, Vol. 2, Issue 8 · 31 Aug 2005 · 7,067 accessesView PDFCite
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
Research ArticleOpen accessPhrase in the titleA MODIFIED ELLIPTIC CURVE DIGITAL SIGNATURE ALGORITHM FOR PUBLIC VERIFIABILITY WITH DATA DYNAMICS IN CLOUD COMPUTINGD. Sumathi, Ramachandra V. PujeriCloud storage is considered to be the most critical factor in decision making for users as it largely scales down the infrastructure in terms of size, cost and design. Considering factors such as local storage cost, maintenance a single server model can support multiple users on a needed basis. This raises concerns for integrity verification i.e., assuring the correctness of … …Journal of Computer Science, Vol. 10, Issue 10 · 28 Jun 2014 · 6,486 accessesView PDFCite