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AN EFFICIENT METHOD FOR IMPROVING THE COMPUTATIONAL PERFORMANCE OF THE CUBIC LUCAS CRYPTOSYSTEM

Part of: Sequences and sets Communication, information

Published online by Cambridge University Press:  10 April 2014

REZA NAGHIZADEH MAJID ,
ELANKOVAN SUNDARARAJAN  and
ZULKARNAIN MD ALI
REZA NAGHIZADEH MAJID*
Affiliation:
Computer Science Program, Faculty of Information Science and Technology, University Kebangsaan, Malaysia email r.naghizade@gmail.com
ELANKOVAN SUNDARARAJAN
Affiliation:
Information Technology Program, Faculty of Information Science and Technology, University Kebangsaan, Malaysia email elankovan.sundararajan@gmail.com
ZULKARNAIN MD ALI
Affiliation:
Computer Science Program, Faculty of Information Science and Technology, University Kebangsaan, Malaysia email zulkarnainmdali@gmail.com
*
✉r.naghizade@gmail.com
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Abstract

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The cubic version of the Lucas cryptosystem is set up based on the cubic recurrence relation of the Lucas function by Said and Loxton [‘A cubic analogue of the RSA cryptosystem’, Bull. Aust. Math. Soc.68 (2003), 21–38]. To implement this type of cryptosystem in a limited environment, it is necessary to accelerate encryption and decryption procedures. Therefore, this paper concentrates on improving the computation time of encryption and decryption in cubic Lucas cryptosystems. The new algorithm is designed based on new properties of the cubic Lucas function and mathematical techniques. To illustrate the efficiency of our algorithm, an analysis was carried out with different size parameters and the performance of the proposed and previously existing algorithms was evaluated with experimental data and mathematical analysis.

Keywords

cryptographypublic key cryptosystemfast cryptographyLucas cryptosystem

MSC classification

Secondary: 94A60: Cryptography 11B37: Recurrences
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 90 , Issue 1 , August 2014 , pp. 160 - 171
Copyright
Copyright © 2014 Australian Mathematical Publishing Association Inc. 

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