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17 articles for “Discrete Logarithm Problem”
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Research ArticleOpen accessPhrase in the titleA Secure Key Authentication Scheme Based on the Hardness of Solving Elliptic Curve Discrete Logarithm ProblemIzzmier Izzuddin Zulkepli, Eddie Shahril IsmailA key authentication scheme is a scheme that protects a user’s public key from modification and counterfeiting by an adversary. The new development and improvement of key authentication schemes should be made continuously so that the systems are safe and practical to be used. To the best of our knowledge, there is no key authentication using the elliptic curve so … …Journal of Computer Science, Vol. 16, Issue 5 · 15 May 2020 · 7,435 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleInteger Factorization: Solution via Algorithm for Constrained Discrete Logarithm ProblemBoris S. VerkhovskyProblem statement: During the last thirty years many public-key cryptographic protocols based on either the complexity of integer factorization of large semiprimes or the Discrete Logarithm Problem (DLP) have been developed. Approach: Although several factorization algorithms with sub-exponential complexity have been discovered, the recent RSA Factoring Challenge demonstrated that it was still necessary to use several thousand computers working in … …Journal of Computer Science, Vol. 5, Issue 9 · 30 Dec 2009 · 7,156 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleNew Collisions to Improve Pollard's Rho Method of Solving the Discrete Logarithm Problem on Elliptic CurvesAmmar Ali NeamahIt is true that different approaches have been utilised to accelerate the computation of discrete logarithm problem on elliptic curves with Pollard's Rho method. However, trapping in cycles fruitless will be obtained by using the random walks with Pollard's Rho. An efficient alternative approach that is based on new collisions which are reliant on the values ai, bi to solve … …Journal of Computer Science, Vol. 11, Issue 9 · 16 Dec 2015 · 7,340 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleA New Cryptosystem Based on Factoring and Discrete Logarithm ProblemsE.S. Ismail, M.S.N. HijaziProblem statement: A cryptosystem allows a sender to send any confidential or private message using a receiver’s public key and later the receiver confirms the integrity of the received message using his secret key. Currently the existing cryptosystems were developed based on a single hard problem like factoring, discrete logarithm, residuosity, knapsack or elliptic curve discrete logarithm. Although these schemes … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 18 Jul 2011 · 7,786 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA VARIANT OF POLLARD'S RHO ATTACK ON ELLIPTIC CURVE CRYPTOSYSTEMSSiham Ezzouak, Mohammed Elamrani, Abdelmalek AziziElliptic Curve cryptosystems appear to be more secure and efficient when requiring small key size to implement than other public key cryptosystems. Its security is based upon the difficulty of solving Elliptic Curve Discrete Logarithm Problem (ECDLP). This study proposes a variant of generic algorithm Pollard's Rho for finding ECDLP using cycle detection with stack and a mixture of cycle … …Journal of Computer Science, Vol. 10, Issue 8 · 9 Apr 2014 · 7,269 accessesView PDFCite
Research ArticleOpen accessIn the keywordsDevelopment 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 accessIn the keywordsPolynomial 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 accessIn the keywordsDSP-128:Stream Cipher Based On Discrete Log Problem And Polynomial ArithmeticKhaled M. Suwais, Azman SamsudinDSP-128 is a new multithreaded stream cipher based on the intractability of the Discrete Logarithm Problem (DLP) with key size of 128-bit. The design of DSP-128 is divided into three stages: Initialization Stage, Keystream Generation Stage, and Encryption Stage. The design goal of DSP-128 is to come up with a secure stream cipher with good performance for data encryption. The … …American Journal of Applied Sciences, Vol. 5, Issue 7 · 31 Jul 2008 · 7,396 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA CAE Scheme Using ECC Based Self Certified PKCManoj Kumar Chande, Cheng-Chi Lee, Chun-Ta LiThe Convertible Authentication Encryption (CAE) scheme, allows the signer to generate an authentic ciphertext signature, which can be recuperated and validated by a specific recipient only. In case of any kind of dispute the recipient is capable enough to convert the ciphertext signature as a normal signature and that can be validated publicly. The CAE schemes are used for transformation … …Journal of Computer Science, Vol. 12, Issue 11 · 23 Dec 2016 · 6,904 accessesView PDFCite
Research ArticleOpen accessIn the keywordsCERTIFICATE 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