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Authors: Fabien Herbaut 1 ; Nicolas Méloni 2 and Pascal Véron 2

Affiliations: 1 INSPE Nice-Toulon, Université Côte d’Azur, Institut de Mathématiques de Toulon, France ; 2 Institut de Mathématiques de Toulon, Université de Toulon, France

Keyword(s): Elliptic Curves, Scalar Multiplication, Side-channel Protection, Memory Usage, Addition Chain.

Abstract: The random generation of Euclidean addition chains fits well with a GLV context (Dosso et al., 2018) and provides a method with decent performance despite the growth of the base field required to get the same level of security. The aim of this paper is to reduce the size of the base field required. Combined with an algorithmic improvement, we obtain a reduction of 21% of the memory usage. Hence, our method appears to be one of the most compact scalar multiplication procedure and is particularly suitable for lightweight applications.

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Paper citation in several formats:
Herbaut, F.; Méloni, N. and Véron, P. (2021). Compact Variable-base ECC Scalar Multiplication using Euclidean Addition Chains. In Proceedings of the 18th International Conference on Security and Cryptography - SECRYPT; ISBN 978-989-758-524-1; ISSN 2184-7711, SciTePress, pages 531-539. DOI: 10.5220/0010551705310539

@conference{secrypt21,
author={Fabien Herbaut. and Nicolas Méloni. and Pascal Véron.},
title={Compact Variable-base ECC Scalar Multiplication using Euclidean Addition Chains},
booktitle={Proceedings of the 18th International Conference on Security and Cryptography - SECRYPT},
year={2021},
pages={531-539},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010551705310539},
isbn={978-989-758-524-1},
issn={2184-7711},
}

TY - CONF

JO - Proceedings of the 18th International Conference on Security and Cryptography - SECRYPT
TI - Compact Variable-base ECC Scalar Multiplication using Euclidean Addition Chains
SN - 978-989-758-524-1
IS - 2184-7711
AU - Herbaut, F.
AU - Méloni, N.
AU - Véron, P.
PY - 2021
SP - 531
EP - 539
DO - 10.5220/0010551705310539
PB - SciTePress