• Corpus ID: 32961158

A Public-Key Cryptosystem Based on Lucas Sequences

  title={A Public-Key Cryptosystem Based on Lucas Sequences},
  author={Lhoussain El Fadil},
Based on Lucas functions, an improved version of Diffie-hellman key distribution, El Gamal public key crypto-system scheme and El Gamal signature scheme are proposed, together with an implementation and com- putational cost. The security relies on the difficulty of factoring an RSA integer and on the difficulty of computing the discrete logarithm. 
Anonymous Multi-Receiver Public Key Encryption Based on Lucas Sequences
The results of the computational analysis show that the projected scheme is better against renown attacks and prevailing anonymous multireceiver algorithms.


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A public key system based on Lucas functions instead of exponentiation is introduced, and it is proved that the new system is cryptographically stronger than the RSA system.
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On the Security of the Lucas Function
The security of Lucas function is polynomial-time equivalent to the generalized discrete logarithm problems and is shown to be cryptographically stronger than or at least as strong as the security of exponentiation function.
New directions in cryptography
This paper suggests ways to solve currently open problems in cryptography, and discusses how the theories of communication and computation are beginning to provide the tools to solve cryptographic problems of long standing.
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The invention pertains to a novel method of forming a flexible, tapered end on a thermoplastic molding strip that is flexible and virtually free of residual stress which may cause a strip to delaminate when applied to a desired substratum.
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