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Developing an Automatic Generation Tool for Cryptographic Pairing Functions

Dominguez Perez, Luis Julian (2011) Developing an Automatic Generation Tool for Cryptographic Pairing Functions. PhD thesis, Dublin City University.

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Pairing-Based Cryptography is receiving steadily more attention from industry, mainly because of the increasing interest in Identity-Based protocols. Although there are plenty of applications, efficiently implementing the pairing functions is often difficult as it requires more knowledge than previous cryptographic primitives. The author presents a tool for automatically generating optimized code for the pairing functions which can be used in the construction of such cryptographic protocols. In the following pages I present my work done on the construction of pairing function code, its optimizations and how their construction can be automated to ease the work of the protocol implementer. Based on the user requirements and the security level, the created cryptographic compiler chooses and constructs the appropriate elliptic curve. It identifies the supported pairing function: the Tate, ate, R-ate or pairing lattice/optimal pairing, and its optimized parameters. Using artificial intelligence algorithms, it generates optimized code for the final exponentiation and for hashing a point to the required group using the parametrisation of the chosen family of curves. Support for several multi-precision libraries has been incorporated: Magma, MIRACL and RELIC are already included, but more are possible.

Item Type:Thesis (PhD)
Date of Award:01 January 2011
Supervisor(s):Scott, Michael
Subjects:Computer Science > Computer security
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Engineering and Computing > School of Computing
Use License:This item is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 3.0 License. View License
ID Code:16002
Deposited On:06 Apr 2011 16:56 by Michael Scott. Last Modified 06 Apr 2011 16:56

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