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Published Articles >> Table of Contents >> Abstract
45th Annual IEEE Symposium on Foundations of Computer Science (FOCS'04)
pp. 196-205
On the (Im)possibility of Cryptography with Imperfect Randomness
Yevgeniy Dodis, New York University
Shien Jin Ong, Harvard University
Manoj Prabhakaran, Princeton University and University of California at Los Angeles
Amit Sahai, Princeton University and University of California at Los Angeles
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DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/FOCS.2004.44
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| Abstract |
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We investigate the feasibility of a variety of cryptographic tasks with imperfect randomness. The kind of imperfect randomness we consider are entropy sources, such as those considered by Santha and Vazirani, Chor and Goldreich, and Zuckerman. We show the following: Certain cryptographic tasks like bit commitment, encryption, secret sharing, zero-knowledge, noninteractive zero-knowledge, and secure two-party computation for any non-trivial function are impossible to realize if parties have access to entropy sources with slightly less-than-perfect entropy, i.e., sources with imperfect randomness. These results are unconditional and do not rely on any unproven assumption. On the other hand, based on stronger variants of standard assumptions, secure signature schemes are possible with imperfect entropy sources. As another positive result, we show (without any unproven assumption) that interactive proofs can be made sound with respect to imperfect entropy sources.
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 Additional Information
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Citation:
Yevgeniy Dodis, Shien Jin Ong, Manoj Prabhakaran, Amit Sahai,
"On the (Im)possibility of Cryptography with Imperfect Randomness,"
focs,
pp. 196-205,
45th Annual IEEE Symposium on Foundations of Computer Science (FOCS'04),
2004
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