TY - GEN
T1 - Efficient non symmetric pairing groups on ordinary pairing friendly curve of embedding degree 1
AU - Izuta, Tetsuya
AU - Nogami, Yasuyuki
AU - Morikawa, Yoshitaka
PY - 2011/9/2
Y1 - 2011/9/2
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.
KW - embedding degree 1
KW - non-symmetric pairing
KW - pairing
KW - twist
UR - http://www.scopus.com/inward/record.url?scp=80052157406&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80052157406&partnerID=8YFLogxK
U2 - 10.1109/icc.2011.5962421
DO - 10.1109/icc.2011.5962421
M3 - Conference contribution
AN - SCOPUS:80052157406
SN - 9781612842332
T3 - IEEE International Conference on Communications
BT - 2011 IEEE International Conference on Communications, ICC 2011
T2 - 2011 IEEE International Conference on Communications, ICC 2011
Y2 - 5 June 2011 through 9 June 2011
ER -