By Yiming Jing, Gail-Joon Ahn, Hongxin Hu (auth.), Goichiro Hanaoka, Toshihiro Yamauchi (eds.)
This publication constitutes the refereed complaints of the seventh foreign Workshop on safeguard, IWSEC 2012, held in Fukuoka, Japan, in November 2012. The sixteen revised chosen papers awarded during this quantity have been conscientiously reviewed and chosen from fifty three submissions. they're equipped in topical sections named: implementation; encryption and key alternate; cryptanalysis; and safe protocols.
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Additional info for Advances in Information and Computer Security: 7th International Workshop on Security, IWSEC 2012, Fukuoka, Japan, November 7-9, 2012. Proceedings
Takagi, and K. Sakurai 1. Compute an element P2 = (x2 , y2 ) in E(Fp ) of order 2. ) 2. Deﬁne a polynomial fx2 (X) = f (x + x2 ) and an elliptic curve Ex2 : Y 2 = fx2 (X) over Fp . 3. Compute an element P4 = (x4 , y4 ) in Ex2 (Fp ) such that 2P4 = (0, 0) (see the remark below). If P4 does not exist, then return to Step 1 and choose another P2 . ) 4. d ← 1 − 4x34 /y42 . The birational maps between E0 and EdD0 can be described explicitly as follows; – M : Edd0 → E0 M([X, Y, Z]) = [x4 X(Z + Y ) + x2 X(Z − Y ), y4 Z(Z + Y ), X(Z − Y )].
Eﬃcient Identity-Based Encryption Without Random Oracles. In: Cramer, R. ) EUROCRYPT 2005. LNCS, vol. 3494, pp. 114–127. Springer, Heidelberg (2005) 41. : Ciphertext-Policy Attribute-Based Encryption: An Expressive, Eﬃcient, and Provably Secure Realization. , Nicolosi, A. ) PKC 2011. LNCS, vol. 6571, pp. 53–70. Springer, Heidelberg (2011) A Concrete Parameters of Pairing-Friendly Curves In this section, we present some parameters of pairing-friendly curves with embedding degree 6, 16, 24, which can be transformed into Edwards curves and achieve the minimal ρ-values among the constructible pairing-friendly curves.
P = (x, y) = u1 G + u2 Q. 6. If r = x mod n, the signature is valid. The computations in ECDSA can be divided into three parts: prime ﬁeld arithmetic, point arithmetic, and protocol layer. There are two diﬀerent types of prime ﬁeld arithmetic in ECDSA, where the moduli are the pseudo Mersenne prime p in the point arithmetic and the curve order n in the protocol layer, respectively. Prime Field Arithmetic. The curve secp160r1 in SEC2 employs the pseudo Mersenne prime, p = 2160 − 231 − 1, which makes the modulo operations much more eﬃcient compared to the Barrett reduction  and the Montgomery multiplication .