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Abstract: We describe public key cryptosystems and analyse the RSA cryptosystem, pointing out a weakness (already known) of the RSA system. We define Lucas functions and derive some of their properties. Then we introduce a public key system based on Lucas functions instead of exponentiation. The computational requirements of the new system are only a little greater than those for the RSA system, and we prove that the new system is cryptographically stronger than the RSA system. Finally, we present a... (Update)
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BibTeX entry: (Update)
P. J. Smith and M. J. J. Lennon. LUC: A new public key system. In E. G. Douglas, editor, Ninth IFIP Symposium on Computer Security, pages 103--117. Elsevier http://citeseer.ist.psu.edu/228891.html More
@techreport{ smith93luc,
author = "Peter Smith and Michael J. J. Lennon",
title = "{LUC}: {A} New Public Key System",
year = "1993",
url = "citeseer.ist.psu.edu/228891.html" }
Citations (may not include all citations):1529 A method for obtaining digital signatures and public-key cry.. - Rivest, Shamir et al. - 1978
635 New directions in cryptography - Diffie, Hellman - 1976
501 A digital signature scheme secure against adaptive chosen-me.. - Goldwasser, Micali et al. - 1988
78 Seminumerical Algorithms (context) - Knuth - 1981
21 The book of prime number records (context) - Ribenboim - 1988
17 Some public-key crypto-functions as intractable as factoriza.. (context) - Williams - 1985
8 An extended theory of Lucas' functions (context) - Lehmer - 1930
2 A p+1 method of factoring (context) - Williams - 1982
1 Théorie des fonctions numériques simplement périodiques (context) - Lucas
1 Some remarks on public-key cryptosystems (context) - Muller, Nobauer - 1981
1 Cryptanalysis of the Dicksonscheme (context) - Muller, Nobauer - 1986
The graph only includes citing articles where the year of publication is known.
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