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ABSTRACT
We describe and analyze a new digital signature scheme. The new scheme is quite efficient, does not require the signer to maintain any state, and can be proven secure against adaptive chosen message attack under a reasonable intractability assumption, the so-called strong RSA assumption. Moreover, a hash function can be incorporated into the scheme in such a way that it is also secure in the random oracle model under the standard RSA assumption.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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2
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BARIC, N. AND PFITZMANN, B. 1997. Collision-free accumulators and fail-stop signature schemes without trees. In Proceedings of the Conference on Advances in Cryptology (EUROCRYPT'97, Berlin, Germany), W. Fumy, Ed. Springer-Verlag, New York, NY, 480-494.
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3
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BATEMAN, P. AND HORN, R. 1962. A heuristic asymptotic formula concerning the distribution of prime numbers. Math. Comput. 16, 363-367.
|
| |
4
|
BATEMAN, P. AND HORN, R. 1965. Primes represented by irreducible polynomials in one variable. In Proceedings of the Symposium on Pure Mathematics . 119-135.
|
 |
5
|
|
| |
6
|
|
| |
7
|
BLEICHENBACHER, D. 1996. Efficiency and security of cryptosystems based on number theory. Ph.D. Dissertation. Swiss Federal Institute of Technology, Zurich, Switzerland.
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8
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BRILLHART, J., LEHMER, D., AND SELFRIDGE, J. 1975. New primality criteria and factorizations of 2 m 61. Math. Comput. 29, 620-647.
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9
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Ran Canetti , Oded Goldreich , Shai Halevi, The random oracle methodology, revisited (preliminary version), Proceedings of the thirtieth annual ACM symposium on Theory of computing, p.209-218, May 24-26, 1998, Dallas, Texas, United States
[doi> 10.1145/276698.276741]
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10
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11
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DAMGAARD, I., LANDROCK, P., AND POMERANCE, C. 1993. Average case error estimates for the strong probable prime test. Math. Comput. 61, 204 (Oct.), 177-194.
|
| |
12
|
|
| |
13
|
|
| |
14
|
|
| |
15
|
GENNARO, R., HALEVI, S., AND RABIN, T. 1999. Secure hash-and-sign signatures without the random oracle. In Proceedings of the Conference on Advances in Cryptology (EUROCRYPT '99). Springer-Verlag, New York, NY, 123-139.
|
| |
16
|
|
| |
17
|
|
| |
18
|
HALBERSTAM, H. AND RICHERT, H. 1974. Sieve Methods. Academic Press, Inc., Duluth, MN.
|
| |
19
|
IMPAGLIAZZO, R. AND ZUCKERMANN, D. 1989. How to recycle random bits. In Proceedings of the 30th IEEE Symposium on Foundations of Computer Science (FOCS '89, Research Triangle Park, NC, Oct. 30-Nov. 1). IEEE Computer Society Press, Los Alamitos, CA, 248-253.
|
| |
20
|
|
| |
21
|
KRAWCZYK, H. AND RABIN, T. 1998. Chameleon Hashing and Signatures.
|
| |
22
|
|
| |
23
|
|
| |
24
|
MAURER, U. 1995. Fast generation of prime numbers and secure public-key cryptographic parameters. J. Cryptology 8, 123-155.
|
 |
25
|
|
| |
26
|
|
| |
27
|
RABIN, M. O. 1980. Probabilistic algorithms for testing primality. J. Number Theory 12, 128-138.
|
| |
28
|
ROSSER, J. AND SCHOENFELD, L. 1962. Approximate formulas for some functions of prime numbers. Ill. J. Math. 6, 64-94.
|
| |
29
|
SCHWEINBERGER, T. AND SHOUP, V. 2000. ACE: The Advanced Cryptographic Engine. Cryptology ePrint Archive, Report 2000/022. http://eprint.iacr.org.
|
| |
30
|
SHA AND NIST. 1995. NIST FIPS PUB 180-1, Secure Hash Standard. National Institute of Standards and Technology, Gaithersburg, MD.
|
| |
31
|
SHOUP, V. 2000a. A composition theorem for universal one-way hash functions. In Proccedings of the Workshop on Advances in Cryptology (EUROCRYPT 2000). Springer-Verlag, New York, NY.
|
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32
|
SHOUP, V. 2000b. Using hash functions as a hedge against chosen ciphertext attack. In Proccedings of the Workshop on Advances in Cryptology (EUROCRYPT 2000). Springer-Verlag, New York, NY.
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REVIEW
"Adrian Constantin Atanasiu : Reviewer"
A new digital signature scheme is described and analyzed.
Its security (against chosen message attack) is based on the strong
RSA assumption (defined in 1997 by Baric and Pfitzmann). This
scheme is state-free (does not require that the signer
more...
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