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

Kwang Ho Kim, Christophe Negre

2008

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.

Paper Citation

in Harvard Style

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 - Volume 1: SECRYPT, (ICETE 2008) ISBN 978-989-8111-59-3, pages 373-376. DOI: 10.5220/0001926103730376

in Bibtex Style

@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 - Volume 1: SECRYPT, (ICETE 2008)},
year={2008},
pages={373-376},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001926103730376},
isbn={978-989-8111-59-3},
}

in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on Security and Cryptography - Volume 1: SECRYPT, (ICETE 2008)
TI - POINT MULTIPLICATION ON SUPERSINGULAR ELLIPTIC CURVES DEFINED OVER FIELDS OF CHARACTERISTIC 2 AND 3
SN - 978-989-8111-59-3
AU - Ho Kim K.
AU - Negre C.
PY - 2008
SP - 373
EP - 376
DO - 10.5220/0001926103730376