CHAOS AND PUBLIC KEY INFRASTRUCTURE (PKI)

• Main Author: CHEW, JUNYEE
• Format: Final Year Project
• Language: English
• Published: Universiti Teknologi Petronas 2004
• Subjects: TK Electrical engineering. Electronics Nuclear engineering
• Online Access: http://utpedia.utp.edu.my/6930/1/2004%20-%20CHAOS%20AND%20PUBLIC%20KEY%20INFRASTRUCTURE%20%28PKI%29.pdf; http://utpedia.utp.edu.my/6930/

The emergence of chaos theory promised a new era in the field of cryptography as the properties of a chaotic system are exploited. Many studies have been done in this area, in which various schemes employing chaotic systems have been proposed. Schemes ranging from different aspects of chaotic systems to the both symmetric and asymmetric encryption are published. However, according to [1], the author suggested a more comprehensive insight into both chaotic systems and cryptography algorithms is needed before doing any design to avoid having a "bothweak and slow ciphers". The author of [1] has a published work entitled "Public-key Encryption Based on Chebyshev Maps" [2] and this is utilized as the core of a new public key encryption scheme. Thenew scheme proposed here is "Public-Key Encryption based on Logistic Map" which employs many similar concepts as [2]. Athorough study on various polynomials has beenconducted and implementation on MATLAB has been done which includes conventional public key encryption scheme such as RSA algorithm. It is continued with the implementation of [2] to test for its workability in MATLAB p latform. A major problem faced in this implementation has been solved while implementing the new logistic map scheme. Consequently, the new scheme is able to provide higher precision, thus higher security level, although at the price of the performance. Most importantly, however, is the proof of the workability of the whole new scheme. Theproject thus concludes with comparison of the new public key scheme based on logistic map with RSA algorithm on MATLAB platform.