Efficient non symmetric pairing groups on ordinary pairing friendly curve of embedding degree 1

Tetsuya Izuta; Yasuyuki Nogami; Yoshitaka Morikawa

doi:10.1109/icc.2011.5962421

Efficient non symmetric pairing groups on ordinary pairing friendly curve of embedding degree 1

Tetsuya Izuta, Yasuyuki Nogami, Yoshitaka Morikawa

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Recently, ordinary pairing-friendly elliptic curves whose embedding degree is 1 have been often focused on, for example some composite order pairing-based cryptographies do. In the case of non-symmetric pairings whose embedding degree is larger than 2, recent efficient pairing techniques such as Rate and Xate pairings adopt a certain special rational point group with an efficient isomorphic mapping and then accelerate pairing-related operations such as a pairing calculation and a scalar multiplication. Based on cubic, quartic, and sextic twists, this paper shows how to activate these efficient techniques together with point compression on pairing-friendly curves of embedding degree 1.

Original language	English
Title of host publication	2011 IEEE International Conference on Communications, ICC 2011
DOIs	https://doi.org/10.1109/icc.2011.5962421
Publication status	Published - Sep 2 2011
Event	2011 IEEE International Conference on Communications, ICC 2011 - Kyoto, Japan Duration: Jun 5 2011 → Jun 9 2011

Publication series

Name	IEEE International Conference on Communications
ISSN (Print)	0536-1486

Other

Other	2011 IEEE International Conference on Communications, ICC 2011
Country	Japan
City	Kyoto
Period	6/5/11 → 6/9/11

Keywords

embedding degree 1
non-symmetric pairing
pairing
twist

ASJC Scopus subject areas

Computer Networks and Communications
Electrical and Electronic Engineering

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10.1109/icc.2011.5962421

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Efficient non symmetric pairing groups on ordinary pairing friendly curve of embedding degree 1. / Izuta, Tetsuya; Nogami, Yasuyuki; Morikawa, Yoshitaka.

2011 IEEE International Conference on Communications, ICC 2011. 2011. 5962421 (IEEE International Conference on Communications).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Izuta, T, Nogami, Y & Morikawa, Y 2011, Efficient non symmetric pairing groups on ordinary pairing friendly curve of embedding degree 1. in 2011 IEEE International Conference on Communications, ICC 2011., 5962421, IEEE International Conference on Communications, 2011 IEEE International Conference on Communications, ICC 2011, Kyoto, Japan, 6/5/11. https://doi.org/10.1109/icc.2011.5962421

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abstract = "Recently, ordinary pairing-friendly elliptic curves whose embedding degree is 1 have been often focused on, for example some composite order pairing-based cryptographies do. In the case of non-symmetric pairings whose embedding degree is larger than 2, recent efficient pairing techniques such as Rate and Xate pairings adopt a certain special rational point group with an efficient isomorphic mapping and then accelerate pairing-related operations such as a pairing calculation and a scalar multiplication. Based on cubic, quartic, and sextic twists, this paper shows how to activate these efficient techniques together with point compression on pairing-friendly curves of embedding degree 1.",

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N2 - Recently, ordinary pairing-friendly elliptic curves whose embedding degree is 1 have been often focused on, for example some composite order pairing-based cryptographies do. In the case of non-symmetric pairings whose embedding degree is larger than 2, recent efficient pairing techniques such as Rate and Xate pairings adopt a certain special rational point group with an efficient isomorphic mapping and then accelerate pairing-related operations such as a pairing calculation and a scalar multiplication. Based on cubic, quartic, and sextic twists, this paper shows how to activate these efficient techniques together with point compression on pairing-friendly curves of embedding degree 1.

AB - Recently, ordinary pairing-friendly elliptic curves whose embedding degree is 1 have been often focused on, for example some composite order pairing-based cryptographies do. In the case of non-symmetric pairings whose embedding degree is larger than 2, recent efficient pairing techniques such as Rate and Xate pairings adopt a certain special rational point group with an efficient isomorphic mapping and then accelerate pairing-related operations such as a pairing calculation and a scalar multiplication. Based on cubic, quartic, and sextic twists, this paper shows how to activate these efficient techniques together with point compression on pairing-friendly curves of embedding degree 1.

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KW - non-symmetric pairing

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Efficient non symmetric pairing groups on ordinary pairing friendly curve of embedding degree 1

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