Kenji Koyama, Ueli M Maurer, Tatsuaki Okamoto, Scott A Vanstone  Home/Search
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Abstract: Three new trapdoor one-way functions are proposed that are based on elliptic curves over the ring Z_n. The first class of functions is a naive construction, which can be used only in a digital signature scheme, and not in a public-key cryptosystem. The second, preferred class of function, does not suffer from this problem and can be used for the same applications as the RSA trapdoor one-way function, including zero-knowledge identification protocols. The third class of functions has similar... (Update)
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43: A method for obtaining digital signatures and public-key cryptosystems; Communic.. - Rivest, Shamir et al. - 1978
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BibTeX entry: (Update)
K. Koyama, U. M. Maurer, T. Okamoto, and S. A. Vanstone. New public-key schemes based on elliptic curves over the ring Zn . In J. Feigenbaum, editor, Advance in Cryptology -- Crypto '91, volume 576 of Lectures Notes in Computer Science, pages 252--266. Springer-Verlag, 1991. http://citeseer.ist.psu.edu/koyama91new.html More
@inproceedings{ koyama91new,
author = "Kenji Koyama and Ueli M. Maurer and Tatsuaki Okamoto and Scott A. Vanstone",
title = "New Public-Key Schemes Based on Elliptic Curves over the Ring Z_n",
booktitle = "{CRYPTO}",
pages = "252-266",
year = "1991",
url = "citeseer.ist.psu.edu/koyama91new.html" }
Citations (may not include all citations):1529 A method for obtaining digital signatures and public-key cry.. - Rivest, Shamir et al. - 1978
428 IEEE Transactions on Information Theory (context) - Diffie, Hellman et al. - 1976
239 Blind signatures for untraceable payments (context) - Chaum - 1982
237 The Arithmetic of Elliptic Curves (context) - Silverman - 1986
186 A public key cryptosystem and a signature scheme based on th.. (context) - El-Gamal - 1985
134 Reducing Elliptic Curve Logarithms to Logarithms in a Finite.. (context) - Menezes, Okamoto et al. - 1991
134 Factoring integers with elliptic curves (context) - Lenstra - 1987
92 Riemann's hypothesis and tests for primality (context) - Miller - 1976
78 Probabilistic algorithm for testing primality (context) - Rabin
72 Elliptic curves over finite fields and the computation of sq.. (context) - Schoof - 1985
50 The number field sieve - Lenstra, Lenstra et al.
43 Non-interactive public-key cryptography (context) - Maurer, Yacobi
43 Factoring with two large primes (context) - Lenstra, Manasse
38 Almost all primes can be quickly certified (context) - Goldwasser, Kilian - 1986
19 On taking roots in finite fields (context) - Adleman, Manders et al. - 1977
16 public key cryptosystem (context) - Simmons, Norris et al. - 1977
7 Berlin: Springer-Verlag (context) - Koblitz, in et al. - 1987
4 Advanced Technology Seminars (context) - Massey, fundamentals et al. - 1988
4 Computational problems associated with Racah algebra (context) - Stein - 1961
3 Attacks on some RSA signatures (context) - Jonge, Chaum - 1985
2 and New York (context) - Kranakis, Cryptography et al. - 1986
1 A pseudo-random bit generator based on elliptic ligarithms (context) - Kaliski - 1987
1 Fast generation of RSA-moduli with almost maximal diversity (context) - Maurer - 1990
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.crypto.ethz.ch/research/pkc/):
A Calculus for Security Bootstrapping in Distributed Systems - Maurer, Schmid (1996) (Correct)
Intrinsic Limitations of Digital Signatures and - How To Cope (Correct)
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