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Title:On the implementation of composite-order bilinear groups in cryptographic protocols
Author(s):Sisneros, Severiano
Advisor(s):Blahut, Richard E.
Department / Program:Electrical & Computer Eng
Discipline:Electrical & Computer Engr
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:M.S.
Genre:Thesis
Subject(s):Cryptography
Bilinear Pairings
Composite Order Groups
Abstract:In this thesis we present the latest developments in composite-order pairing based cryptography. We first develop the necessary mathematical background. We describe elliptic curves over finite fields, as well as rational functions and divisors on such curves. Bilinear pairings on elliptic curves are explained. We then introduce bilinear groups of composite order and how they are used to create pairing-based cryptosystems. We present two cryptosystems using composite-order groups. We conclude with a discussion of current research.
Issue Date:2013-02-03
URI:http://hdl.handle.net/2142/42280
Rights Information:Copyright 2012 Severiano Sisneros
Date Available in IDEALS:2013-02-03
Date Deposited:2012-12


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