By Yiming Jing, Gail-Joon Ahn, Hongxin Hu (auth.), Goichiro Hanaoka, Toshihiro Yamauchi (eds.)
This booklet constitutes the refereed court cases of the seventh overseas Workshop on protection, IWSEC 2012, held in Fukuoka, Japan, in November 2012. The sixteen revised chosen papers awarded during this quantity have been rigorously reviewed and chosen from fifty three submissions. they're geared up in topical sections named: implementation; encryption and key trade; cryptanalysis; and safe protocols.
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Additional resources for Advances in Information and Computer Security: 7th International Workshop on Security, IWSEC 2012, Fukuoka, Japan, November 7-9, 2012. Proceedings
1. MIT Press, Cambridge (1996) 4. : The Improbability that an Elliptic Curve has Subexponential Discrete Log Problem under the Menezes-Okamoto-Vanstone Algorithm. J. Cryptology 11(2), 141–145 (1998) 5. : Eﬃcient Pairing Computation on Supersingular Abelian Varieties. Designs, Codes and Cryptography, 239–271 (2004) 6. : Constructing Elliptic Curves with Prescribed Embedding Degrees. , Persiano, G. ) SCN 2002. LNCS, vol. 2576, pp. 257–267. Springer, Heidelberg (2003) 7. : Pairing-Friendly Elliptic Curves of Prime Order.
The pairing-friendly curve E is constructed by Step 1 and 2 , and the birational map φ is obtained by the composite of the 2-isogenies in Step 3 and the transformation in Step 4. (The 2-isogenies and the transformation are described concretely by Proposition 1, 2 and 4. ) Then we have the Edwards curve Edd as the output of the algorithm. In this situation, we assume that E has an eﬃcient pairing ω : G1 × G2 → F× , where G1 , G2 are subgroups pk with order r of E(Fp ) and E(Fpk ). Then we propose that in a pairing-based protocol, scalar multiplication and pairing are computed as follows: 1.
Identity-based Cryptosystems based on the Weil pairing. Unpublished manuscript (2001) 15. : Eﬃcient Elliptic Curve Exponentiation Using Mixed Coordinates. , Pei, D. ) ASIACRYPT 1998. LNCS, vol. 1514, pp. 51–65. Springer, Heidelberg (1998) 16. : Pairing Computation on Twisted Edwards Form Elliptic Curves. G. ) Pairing 2008. LNCS, vol. 5209, pp. 192–210. Springer, Heidelberg (2008) 32 T. Yasuda, T. Takagi, and K. Sakurai 17. : Building Curves with Arbitrary Small MOV Degree over Finite Prime Fields.
Advances in Information and Computer Security: 7th International Workshop on Security, IWSEC 2012, Fukuoka, Japan, November 7-9, 2012. Proceedings by Yiming Jing, Gail-Joon Ahn, Hongxin Hu (auth.), Goichiro Hanaoka, Toshihiro Yamauchi (eds.)