POINT MULTIPLICATION ON SUPERSINGULAR ELLIPTIC CURVES DEFINED OVER FIELDS OF CHARACTERISTIC 2 AND 3

Kwang Ho Kim; Christophe Negre

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Paper

POINT MULTIPLICATION ON SUPERSINGULAR ELLIPTIC CURVES DEFINED OVER FIELDS OF CHARACTERISTIC 2 AND 3

Topics: Public Key Crypto Applications

In Proceedings of the International Conference on Security and Cryptography - Volume 0ICETE, 373-376, 2008 , Porto, Portugal

Authors: Kwang Ho Kim ¹ and Christophe Negre ²

Affiliations: ¹ Institute of Mathematics, The State Academy of Sciences, Korea, Republic of ; ² Team DALI/ELIAUS, University of Perpignan, France

Keyword(s): Supersingular, Eliptic Curve, Coordinate Systems, Mixed Addition, Doubling, Tripling.

Related Ontology Subjects/Areas/Topics: Cryptographic Techniques and Key Management ; Information and Systems Security ; Public Key Crypto Applications

Abstract: Elliptic curve cryptosystem protocols use two main operations, the scalar multiplication and the pairing computation. Both of them are done through a chain of basic operation on the curve. In this paper we present new formulas for supersingular elliptic curve in characteristic 2 and 3. We improve best known formulas by at least one multiplication in the field.

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Paper citation in several formats:

Ho Kim, K. and Negre, C. (2008). POINT MULTIPLICATION ON SUPERSINGULAR ELLIPTIC CURVES DEFINED OVER FIELDS OF CHARACTERISTIC 2 AND 3. In Proceedings of the International Conference on Security and Cryptography (ICETE 2008) - SECRYPT; ISBN 978-989-8111-59-3; ISSN 2184-3236, SciTePress, pages 373-376. DOI: 10.5220/0001926103730376

@conference{secrypt08,
author={Kwang {Ho Kim}. and Christophe Negre.},
title={POINT MULTIPLICATION ON SUPERSINGULAR ELLIPTIC CURVES DEFINED OVER FIELDS OF CHARACTERISTIC 2 AND 3},
booktitle={Proceedings of the International Conference on Security and Cryptography (ICETE 2008) - SECRYPT},
year={2008},
pages={373-376},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001926103730376},
isbn={978-989-8111-59-3},
issn={2184-3236},
}

TY - CONF

JO - Proceedings of the International Conference on Security and Cryptography (ICETE 2008) - SECRYPT
TI - POINT MULTIPLICATION ON SUPERSINGULAR ELLIPTIC CURVES DEFINED OVER FIELDS OF CHARACTERISTIC 2 AND 3
SN - 978-989-8111-59-3
IS - 2184-3236
AU - Ho Kim, K.
AU - Negre, C.
PY - 2008
SP - 373
EP - 376
DO - 10.5220/0001926103730376
PB - SciTePress