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17

SEC
1993

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LUC: A New Public Key System

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LUC: A New Public Key System

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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 Lucas function equivalent of the DiffieHellman key negotiation method. Keyword Codes: E.3; K.4.2; K.6.5

Peter J. Smith, Michael J. J. Lennon

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Lucas Function | Public Key | RSA System | SEC 1993 | SEC 2007 |

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Added	02 Nov 2010
Updated	02 Nov 2010
Type	Conference
Year	1993
Where	SEC
Authors	Peter J. Smith, Michael J. J. Lennon

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