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29 articles for “Elliptic Problem”
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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 · 7,349 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Strongly Coupled Linear Elliptic Systems with Application to Otolith Membrane DistortionI.K. YoussefProblem Statement: In this research, the author discussed the problems associated with the approximation of the mixed derivative terms appearing in strongly coupled linear elliptic systems by the finite difference method over irregular domains. To avoid the appearance of mixed derivative terms the author introduced a reformulation for the system through introducing a new dependent variable which adds one supplementary … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 6,718 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 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 · 7,064 accessesView PDFCite
Research ArticleOpen accessIn the abstractA New Scalable and Reliable Cost Effective Key Agreement Protocol for Secure Group CommunicationS. Jabeen Begum, Dr. T. PurusothamanProblem statement: In a heterogeneous environment, for a secure multicast communication, the group members have to share a secret key which is used to encrypt/decrypt the secret messages among the members. The Secure Group Communication of large scale multicast group in a dynamic environment is more complex than securing one-to-one communication due to the inherent scalability issue of group key … …Journal of Computer Science, Vol. 7, Issue 3 · 7 Mar 2011 · 6,966 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Role of Sine and Cosine Components in Love Waves and Rayleigh Waves for Energy Hauling during EarthquakeZainal Abdul Aziz, Dennis Ling Chuan ChingProblem statement: Love waves or shear waves are referred to dispersive SH waves. The diffusive parameters are found to produce complex amplitude and diffusive waves for energy hauling. Approach: Analytical solutions are found for analysis and discussions. Results: When the standing waves are compared with the Love waves, similar cosine component is found in both waves. Energy hauling between waves … …American Journal of Applied Sciences, Vol. 7, Issue 12 · 31 Dec 2010 · 7,586 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Cryptosystem Using the Concepts of Algebraic Geometric CodeK. V. Pramod, C. ManjuProblem statement: Cryptosystem using linear codes was developed in 1978 by Mc-Eliece. Later in 1985 Niederreiter and others developed a modified version of cryptosystem using concepts of linear codes. But these systems were not used frequently because of its larger key size. In this study we were designing a cryptosystem using the concepts of algebraic geometric codes with smaller key … …Journal of Computer Science, Vol. 6, Issue 3 · 31 Mar 2010 · 7,446 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordAn 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 · 7,712 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordA Survey on Joint Compression and Encryption Techniques for Video DataK. John Singh, R. ManimegalaiProblem statement: When we send any video data over the network it consumes more time. This is due to the huge size of the video file when compared to text file. Therefore, video data should be compressed before sending to the destination. Another important factor during data transfer is security. Joint compression and encryption is employed to enable faster and … …Journal of Computer Science, Vol. 8, Issue 5 · 28 Feb 2012 · 7,348 accessesView PDFCite