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Author: Srinivasa Rao Subramanya Rao

Affiliation: The Australian National University, Australia

ISBN: 978-989-758-196-0

Keyword(s): Scalar Multiplication, Montgomery Curves, Differential Addition, Edwards Curves, Twisted Edwards Curves, Binary Edwards Curves, Homogeneous Projective, Inverted Coordinates, Extended Homogeneous Projective Coordinates, w-coordinate Differential addition.

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

Abstract: Cryptographic algorithms in smart cards and other constrained environments increasingly rely on Elliptic Curves and thus it is desirable to have fast algorithms for elliptic curve arithmetic. In this paper, we provide (i) faster differential addition formulae for elliptic curve arithmetic on Generalized Edwards’ Curves improving upon the currently known formulae in the literature, proposed by Justus and Loebenberger at IWSEC 2010, (ii) more efficient affine differential addition formulae for a new model of Binary Edwards Curves proposed by Wu, Tang and Feng at INDOCRYPT 2012 and (iii) an algorithm for point doubling on Twisted Edwards Curves with a smaller footprint when the implementation is desired to work across Homogeneous Projective, Inverted and Extended Homogeneous Projective Coordinates.

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Paper citation in several formats:
Subramanya Rao, S. (2016). Differential Addition in Edwards Coordinates Revisited and a Short Note on Doubling in Twisted Edwards Form.In Proceedings of the 13th International Joint Conference on e-Business and Telecommunications - Volume 4: SECRYPT, (ICETE 2016) ISBN 978-989-758-196-0, pages 336-343. DOI: 10.5220/0005970603360343

@conference{secrypt16,
author={Srinivasa Rao Subramanya Rao.},
title={Differential Addition in Edwards Coordinates Revisited and a Short Note on Doubling in Twisted Edwards Form},
booktitle={Proceedings of the 13th International Joint Conference on e-Business and Telecommunications - Volume 4: SECRYPT, (ICETE 2016)},
year={2016},
pages={336-343},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005970603360343},
isbn={978-989-758-196-0},
}

TY - CONF

JO - Proceedings of the 13th International Joint Conference on e-Business and Telecommunications - Volume 4: SECRYPT, (ICETE 2016)
TI - Differential Addition in Edwards Coordinates Revisited and a Short Note on Doubling in Twisted Edwards Form
SN - 978-989-758-196-0
AU - Subramanya Rao, S.
PY - 2016
SP - 336
EP - 343
DO - 10.5220/0005970603360343

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