IJPAM: Volume 77, No. 1 (2012)
Takeshi Shimoyama, Jun Kogure
Faculty of Mathematics
744 Motoka, Nishi-Ku, Fukuoka, 819-0935, JAPAN
Fujitsu Laboratories Ltd.
1-1, Kamikodanaka 4-chome, Nakahara-ku, Kawasaki
Abstract. In pairing-based cryptography, it is necessary to choose an elliptic curve with a small embedding degree and a large prime-order subgroup, which is called a pairing-friendly curve. In this paper, we study the number of the pairing-friendly curves with a given large prime-order subgroup.
Received: August 12, 2011
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395