Pseudorandom generators based on Lucas Sequences

Authors

  • A Di Porto Fondazione Ugo Bordoni, Rome, Italy
  • W Wolfowics Fondazione Ugo Bordoni, Rome, Italy

Abstract

Pseudo-random sequence generators are the heart of Stream-cipher systems. This work presents some design criteria for such generators. based on innovative methods. To this aim the Lucas Sequences, reduced modulo a prime p. are taken and suitably manipulated. Modular Exponentiation is the function used to attain the output sequences. The periodicity of the Lucas Sequences allows to define a lower
bound for the period of the generated sequences; actually our purpose is to ensure that the sequences which are generated have a period greater than a prefixed value. Furthermore the cryptographic strength of these sequences relies on the one-wayness of the discrete logarithm problem.

Downloads

Published

1993-02-18

Issue

Vol. 6 (1993)

Section

Volume 6-1993

License

This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. The journal is committed to real and immediate open access for academic work. All of the journal articles are free to access immediately from the date of publication. There are no charge for readers to download articles and reviews for their own scholarly use. Benefits of open access for authors, include:

  • Free access for all users worldwide
  • Increased visibility and readership
  • Rapid publication
  • No spatial constraints
  • Authors can share their research papers on their personal web-pages (i.e. ResearchGate, etc.)

Ratio Mathematica publishes open access articles under the terms of the Creative Commons Attribution (CC BY) License. The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed. Copyright on any research article published by Ratio Mathematica is retained by the author(s). Authors grant Ratio Mathematica a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified. 
For further information visit: https://creativecommons.org/licenses/by/3.0/. The following logo will appear in any paper that will be published from the volume number 31/2016 onwards.