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29 articles for “Elliptic Problem”
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Research ArticleOpen accessPhrase in the titlePositive Solutions for Some Weighted Elliptic ProblemsHanadi ZahedIn this study, we study the existence and the nonexistence of positive solutions for the following nonlinear elliptic problems: (P) where, Ω is a regular bounded domain in ℝ , N ≥ 2, a(x) is a smooth function on and f(x, s) is asymptotically linear in s at infinity, that is = ℓ < ∞. We will prove that the … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 21 Jul 2020 · 6,115 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleElliptic Weighted Problem with Indefinite Asymptotically Linear NonlinearityHanadi Zahed, Laila A. AlnaserThe objective of this paper is the study the following nonlinear elliptic problem involving a weight function: -div(a(x)∇υ) = f(x, u) in Ω and u = 0 on ∂Ω (P) where, Ω is a regular bounded subset and ℝN ≥ 2, a(x) is a nonnegative function and f(x, t) is allowed to be sign-changing. We employ variational techniques to prove … …Journal of Mathematics and Statistics, Vol. 17, Issue 1 · 8 Feb 2021 · 7,112 accessesView PDFCite
Research ArticleOpen accessEvery word 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 accessEvery word 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 accessEvery word 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 NotesOpen accessEvery word in the titleA Note on a New Method of Investigation of Solutions of Boundary Value Problems for the Elliptic Type Equations of the First OrderNihan A. Aliyev, Alexander A. Katz, Metanet B. MursalovaThe paper deals with investigation of the solutions of the boundary value problem for the Cauchy-Riemann equation on the curvelinear strip in the real plane. Here the boundary conditions are in the special type and are fundamental with respect to the direction solutions are used. An analytic form of the solution of considered boundary value problem is obtained. …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 17 Jan 2018 · 7,204 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 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 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