Art

J-GLOBAL ID：201902255550871340   Reference number：19A0418696

Note on families of pairing-friendly elliptic curves with small embedding degree

小さい埋め込み次数を持つpairing-friendly楕円曲線族に関するメモ

Author (1)： OKANO Keiji (Tsuru Univ., Yamanashi, JPN)
Material： JSIAM Letters (Web)  (JSIAM Lett (Web))
Volume： 8  Page： 61-64(J-STAGE)  Publication year： 2015 
JST Material Number： U0115A  ISSN： 1883-0617  Document type： Article
Article type： 短報  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *curve ,  *numerical calculation ,  embedding ,  polynomial ,  ideal ,  mathematical property ,  property ,  theorem proving ,  completeness ,  *elliptic curve

JST classification (2)： Numerical computation  (JE02000J) ,  System and control theory in general  (IA02010H)

Reference (11)：

• 1) D. Boneh and M. Franklin, Identity-based encryption from the Weil pairing, SIAM J. Comput., 32 (2003), 586-615.
• 2) R. Sakai, K. Ohgishi and M. Kasahara, Cryptosystems based on pairings, in: Proc. of Symposium on Cryptography and Information Security 2000, SCIS 2000, Okinawa, Japan (2000).
• 3) D. Freeman, M. Scott and E. Teske, A Taxonomy of Pairing-Friendly Elliptic Curves, J. Cryptology, 23 (2010), 224-280.
• 4) E. Ben-Sasson, A. Chiesa, E. Tromer and M. Virza, Scalable zero knowledge via cycles of elliptic curves, in: Proc. of Advances in Cryptology-CRYPTO 2014 (34th IACR International Cryptology Conference), LNCS, Vol. 8617, pp. 276-294, Springer, Berlin, 2014.
• 5) P. S. L. M. Barreto and M. Naehrig, Pairing-friendly elliptic curves of prime order, in: Proc. of Selected Areas in Cryptography-SAC 2005, LNCS, Vol. 3897, pp. 319-331, Springer, Berlin, 2006.

Terms in the title (4)： 埋め込み ,  次数 ,  楕円曲線 ,  メモ