Research ArticleOpen accessEvery word in the titleAn Efficient Image Generation Algorithm Using Fractals and Chaos TheoryK. Thamizhchelvy, G. GeethaAn Efficient Image Generation Algorithm is proposed. It generates Message Authentication Image (MAI) by using Fractals and chaos theory. The fractal images are generated by using Iterated Function System (IFS) techniques. We implemented and generated the fractal images exploring the properties of chaos. Chaos is an unpredictable behavior arises in a dynamical system so that the future behavior is not … …Journal of Computer Science, Vol. 11, Issue 2 · 10 Sep 2014 · 7,425 accessesView PDFCite
Research ArticleOpen accessIn the keywordsEfficiency Analysis for Public Key Systems Based on Fractal FunctionsNadia M.G. AL-Saidi, Mohamad Rushdan Md. Said, Adil Mahmood AhmedProblem statement: In the last decade, dynamical systems were utilized to develop cryptosystems, which ushered the era of continuous value cryptography that transformed the practical region from finite field to real numbers. Approach: Taking the security threats and privacy issues into consideration, fractals functions were incorporated into public-key cryptosystem due to their complicated mathematical structure and deterministic nature that meet … …Journal of Computer Science, Vol. 7, Issue 4 · 4 Apr 2011 · 6,939 accessesView PDFCite
Research ArticleOpen accessIn the keywordsKoch Curves: Rewriting System, Geometry and ApplicationMamta Rani, Riaz Ul Haq, Norrozila SulaimanProblem statement: Recently, new Koch curves have been generated by dividing the initiator into three unequal parts. There is no formal rewriting system to generate such kind of curves. Approach: It is required to measure the new changed geometrical properties. Generalized rewriting systems for the new Koch curves have been developed. Results: New formulas have been given to measure their … …Journal of Computer Science, Vol. 7, Issue 9 · 23 Jul 2011 · 7,065 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA New Digital Signature Scheme Based on Mandelbrot and Julia Fractal SetsMohammad Ahmad Alia, Azman Bin SamsudinThis paper describes a new cryptographic digital signature scheme based on Mandelbrot and Julia fractal sets. Having fractal based digital signature scheme is possible due to the strong connection between the Mandelbrot and Julia fractal sets. The link between the two fractal sets used for the conversion of the private key to the public key. Mandelbrot fractal function takes the … …American Journal of Applied Sciences, Vol. 4, Issue 11 · 30 Nov 2007 · 6,962 accessesView PDFCite
Research ArticleOpen accessIn the abstractFRACTAL PROPERTY OF ADMINISTRATIONZlatko BrnjasTo understand the constant increase in administration, we need a new approach to the administration. For many years, the administration has intensified as a closed science, associated only with economics, law and political science. However, this approach did not bring anything good, because almost nothing in the administration has improved. Therefore, it is necessary to connect the administration with the … …American Journal of Economics and Business Administration, Vol. 6, Issue 3 · 14 Oct 2014 · 6,533 accessesView PDFCite
Research ArticleOpen accessIn the abstractA New Approach in Cryptographic Systems Using Fractal Image CodingNadia M.G. Al-Saidi, Muhammad Rushdan Md. SaidProblem statement: With the rapid development in the communications and information transmissions there is a growing demand for new approaches that increase the security of cryptographic systems. Approach: Therefore some emerging theories, such as fractals, can be adopted to provide a contribution toward this goal. In this study we proposed a new cryptographic system utilizing fractal theories; this approach exploited … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,505 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Fixed Point Theorems in L-Fuzzy Quasi-Metric SpacesReza Saadati, S. Mansour VaezpourAt first we considered the L-fuzzy metric space notation which is useful in modeling some phenomena where it is necessary to study the relationship between two probability functions as well observed in Gregori et al. [A note on intuitionistic fuzzy metric spaces. Chaos, Solitons and Fractals 2006; 28: 902-905]. Then we introduced the concept of fixed point theorem in L-fuzzy … …American Journal of Applied Sciences, Vol. 6, Issue 2 · 28 Feb 2009 · 7,403 accessesView PDFCite