Speeding Up the Computation of Elliptic Curve Scalar Multiplication based on CRT and DRM

Mohammad Anagreh; Mohammad Anagreh; Eero Vainikko; Peeter Laud

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Paper

Speeding Up the Computation of Elliptic Curve Scalar Multiplication based on CRT and DRM

Topics: Cryptographic Algorithms

In Proceedings of the 6th International Conference on Information Systems Security and Privacy ICISSP - Volume 1, 176-184, 2020 , Valletta, Malta

Authors: Mohammad Anagreh ^{1

;

2} ; Eero Vainikko ² and Peeter Laud ¹

Affiliations: ¹ Cybernetica, Mäealuse 2/1, Tallinn, Estonia ; ² Institute of Computer Science, University of Tartu, J. Liivi 2, Tartu, Estonia

Keyword(s): ECC, Parallel Computing, CRT, DRM.

Abstract: In this paper, we study the parallel implementations of elliptic curve scalar multiplication over prime fields using signed binary representations. Our implementation speeds up the calculation of scalar multiplication in comparison with the standard case. We introduce parallel algorithms for computing elliptic curve scalar multiplication based on representing the scalar by the Complementary Recoding Technique (CRT) and the Direct Recording Method (DRM). Both implementations of the proposed algorithms show speed-ups reaching up to 60% in comparison with execution time for sequential cases of the algorithms. We find that ECC-DRM is faster than ECC-CRT in both parallel and sequential counterparts.

CC BY-NC-ND 4.0

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Paper citation in several formats:

Anagreh, M.; Vainikko, E. and Laud, P. (2020). Speeding Up the Computation of Elliptic Curve Scalar Multiplication based on CRT and DRM. In Proceedings of the 6th International Conference on Information Systems Security and Privacy - ICISSP; ISBN 978-989-758-399-5; ISSN 2184-4356, SciTePress, pages 176-184. DOI: 10.5220/0009129501760184

@conference{icissp20,
author={Mohammad Anagreh. and Eero Vainikko. and Peeter Laud.},
title={Speeding Up the Computation of Elliptic Curve Scalar Multiplication based on CRT and DRM},
booktitle={Proceedings of the 6th International Conference on Information Systems Security and Privacy - ICISSP},
year={2020},
pages={176-184},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0009129501760184},
isbn={978-989-758-399-5},
issn={2184-4356},
}

TY - CONF

JO - Proceedings of the 6th International Conference on Information Systems Security and Privacy - ICISSP
TI - Speeding Up the Computation of Elliptic Curve Scalar Multiplication based on CRT and DRM
SN - 978-989-758-399-5
IS - 2184-4356
AU - Anagreh, M.
AU - Vainikko, E.
AU - Laud, P.
PY - 2020
SP - 176
EP - 184
DO - 10.5220/0009129501760184
PB - SciTePress