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Authors: Christophe Negre and Jean-Marc Robert

Affiliation: Equipe DALI, Université de Perpignan, LIRMM, Univ. de Montpellier and CNRS, France

Keyword(s): Elliptic Curve, Parallel Implementation, Scalar Multiplication, Prime Field, Binary Field.

Related Ontology Subjects/Areas/Topics: Applied Cryptography ; Cryptographic Techniques and Key Management ; Data Engineering ; Databases and Data Security ; Information and Systems Security

Abstract: This paper deals with parallel implementation of scalar multiplication over an elliptic curve. We present parallel approaches which split the scalar into two parts for E(Fp) or three parts for E(F2m ) and perform in parallel the scalar multiplication with each part of the scalar. We present timing results of these approaches implemented over an Intel Core i7 for NIST binary curves B233, B409 and for the twisted Edwards curve Curve25519 (Bernstein, 2006). For the curves B409 and Curve25519 the proposed approaches improve by at least 10% the computation time of the scalar multiplication.

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Paper citation in several formats:
Negre, C. and Robert, J. (2015). Parallel Approaches for Efficient Scalar Multiplication over Elliptic Curve. In Proceedings of the 12th International Conference on Security and Cryptography (ICETE 2015) - SECRYPT; ISBN 978-989-758-117-5; ISSN 2184-3236, SciTePress, pages 202-209. DOI: 10.5220/0005512502020209

@conference{secrypt15,
author={Christophe Negre. and Jean{-}Marc Robert.},
title={Parallel Approaches for Efficient Scalar Multiplication over Elliptic Curve},
booktitle={Proceedings of the 12th International Conference on Security and Cryptography (ICETE 2015) - SECRYPT},
year={2015},
pages={202-209},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005512502020209},
isbn={978-989-758-117-5},
issn={2184-3236},
}

TY - CONF

JO - Proceedings of the 12th International Conference on Security and Cryptography (ICETE 2015) - SECRYPT
TI - Parallel Approaches for Efficient Scalar Multiplication over Elliptic Curve
SN - 978-989-758-117-5
IS - 2184-3236
AU - Negre, C.
AU - Robert, J.
PY - 2015
SP - 202
EP - 209
DO - 10.5220/0005512502020209
PB - SciTePress

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