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By Goetz A.

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Timestamps in Key Distribution Protocols. ACM Journal of Communications 24(8): 533–536 58. Whitfield Diffie & Martin Hellman 1976. New Directions in Cryptography. IEEE Transaction on Information Theory 22(6): 644–654 59. Danny Dolev & Andrew C Yao 1983. On the Security of Public Key Protocols. IEEE Transaction of Information Technology 29(2): 198–208 60. Ben Donovan, Paul Norris & Gavin Lowe 1999. Analyzing a Library of Security Protocols using Casper and FDR, in Proceedings of Workshop on Formal Methods and Security Protocols.

Brisbane: Queensland University of Technology. References 13 41. Kim-Kwang Raymond Choo 2006. On the Security Analysis of Lee, Hwang & Lee (2004) and Song & Kim (2000) Key Exchange / Agreement Protocols. Informatica 17(4): 467–480 42. Kim-Kwang Raymond Choo 2006. On the Security of Lee, Kim, Kim, & Oh Key Agreement Protocol. International Journal of Network Security 3(1): 85–94 43. Kim-Kwang Raymond Choo 2006. Refuting Security Proofs for Tripartite Key Exchange with Model Checker in Planning Problem Setting, in Joshua Guttman (ed), Proceedings of 19th Computer Security Foundations Workshop - CSFW 2006.

9 (Gap Bilinear Diffie-Hellman Problem [84]) Instance : (P, aP, bP, cP) Output : e(P, ˆ P)abc ∈ G2 with the help of a DBDH oracle. Boneh and Franklin [22] point out that the Gap Bilinear Diffie-Hellman (GBDH) parameter generators satisfying the GBDH assumption can be constructed from the Weil and Tate pairings associated with super-singular elliptic curves or abelian varieties. 10 (Bilinear Inverse Diffie-Hellman Problem) Instance : (P, aP, cP) Output : e(P, ˆ P)a −1 c ∈ G2 . Recent work of Zhang, Safavi-Naini, and Susilo [106] shows that the Bilinear Inverse Diffie-Hellman (BIDH) problem is polynomial time equivalent to the BDH problem.

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A method of producing long single-crystals of metal and a study of the factors influencing crystal orientation and perfection by Goetz A.


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