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A review on heuristics for addition chain problem: towards efficient public key cryptosystems


Citation

Muhammad Noma, Adamu and Muhammed, Abdullah and Mohamed, Mohamad Afendee and Ahmad Zulkarnain, Zuriati (2017) A review on heuristics for addition chain problem: towards efficient public key cryptosystems. Journal of Computer Science, 13 (8). 275 - 289. ISSN 1549-3636; ESSN: 1552-6607

Abstract

Field exponentiation and scalar multiplication are the pillars of and the most computationally expensive operations in the public key cryptosystems. Optimizing the operation is the key to the efficiency of the systems. Analogous to the optimization is solving addition chain problem. In this study, we survey from the onset of the addition chain problem to the state-of-the-art heuristics for optimizing it, with the view to identifying fundamental issues that when addressed renders the heuristics most optimal mean of minimizing the two operations in various public key cryptosystems. Thus, our emphasis is specifically on the heuristics: Their various constraints and implementations efficiencies. We present possible ways forwards toward the optimal solution for the addition chain problem that can be efficiently applied for optimal implementation of the public key cryptosystems.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Computer Science and Information Technology
DOI Number: https://doi.org/10.3844/jcssp.2017.275.289
Publisher: Science Publications
Keywords: Heuristics; Addition chain problem; Modular exponentiation; Scalar multiplication; Public key cryptosystem
Depositing User: Ms. Nida Hidayati Ghazali
Date Deposited: 29 Apr 2019 06:11
Last Modified: 29 Apr 2019 06:11
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3844/jcssp.2017.275.289
URI: http://psasir.upm.edu.my/id/eprint/60718
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