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Abstract: Let G1 be a cyclic multiplicative group of order n. It is known that the Di#e-Hellman problem is random self-reducible in G1 with respect to a fixed generator g if #(n) is known. That is, given g, g G1 and having oracle access to a "Di#e-Hellman Problem solver" with fixed generator g, it is possible to compute g G1 in polynomial time (see theorem 3.2). On the other hand, it is not known if such a reduction exists when #(n) is unknown (see conjuncture 3.1). We exploit this "gap" to construct a... (Update)
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BibTeX entry: (Update)
@misc{ cryptoeprint:2006:178,
author = {Amitabh Saxena and Ben Soh},
title = {A New Cryptosystem Based On Hidden Order Groups},
howpublished = {Cryptology ePrint Archive, Report 2006/178},
year = {2006},
note = {\url{http://eprint.iacr.org/}},
url = {citeseer.ist.psu.edu/758786.html} }
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