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Password-Authenticated Key Exchange based on RSA
MPhil Thesis Defence Title: "Password-Authenticated Key Exchange based on RSA" By Miss Abir Jmaiel Ep Louati Abstract Key agreement protocol is an information security technique that allows two or more entities to agree upon a secret key and use it over a non-secure channel for pri- vate communication and authentication. Key agreement protocol was rst presented in 1976 by W. Di e and M. Hellman [1] and has become the most well-known tech- nique used. A password-based authenticated key exchange (PAKE) is a type of key agreement which enables two parties to mutual authenticate basing solely on human memorable passwords. Normally cryptographic keys were the only way to ensure the authentication part, those long-term keys require adding a cryptographic device to store them, therefore substitute keys with password seems to be much more convenient. Besides, such protocol is able to avoid using the public key infrastructure (PKI), accordingly, PAKE gained a lot of importance during the past few years, nevertheless, the design of a PAKE protocol is harder due to the low entropy passwords. At the beginning of this thesis we start by introducing some mathematical tools which are compulsory to the design and understanding protocols. Then, we present some of the most studied authenticated key agreement protocols found in the literature. Furthermore, we specically analyze password-based authenticated key exchange protocols SNAPI, PEKEP, RSA-EPAKE which are all based on RSA, the evaluation of those protocols show that SNAPI and PEKEP are computationally ine cient, while Youn [2] has proved that RSA-EPAKE is vulnerable to the separation attack. At the end we propose two new PAKE protocols based on RSA, the rst one is for a tripartite setting and the second is for the group setting. The security analysis and the e ciency analysis show that our new protocols can resist all known attacks. Keywords: Three Party Authenticated Key Establishment, Authentication, Cryptography, Key Exchange Protocols, RSA based Authentication. Date: Wednesday, 16 March 2016 Time: 10:00am - 12:00noon Venue: Room 3494 Lifts 25/26 Committee Members: Prof. Cunsheng Ding (Supervisor) Dr. Wei Wang (Chairperson) Dr. Maosheng Xiong (MATH) **** ALL are Welcome ****