Cryptography

Download Public Key Cryptography: First International Workshop on by Yair Frankel, Moti Yung (auth.), Hideki Imai, Yuliang Zheng PDF

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By Yair Frankel, Moti Yung (auth.), Hideki Imai, Yuliang Zheng (eds.)

This e-book constitutes the refereed court cases of the 1st overseas Workshop on perform and concept in Public Key Cryptography, PKC'98, held in Pacifico Yokohama, Japan, in February 1998.
The quantity offers 4 invited contributions including 18 revised complete papers chosen from 30 submissions. The papers handle all present matters in study and layout within the sector together with electronic signature schemes, electronic money structures, digital trade, cryptographic protocols, in addition to foundational matters like integer factorization, elliptic curve facets, hash services, finite fields, etc.

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Additional resources for Public Key Cryptography: First International Workshop on Practice and Theory in Public Key Cryptography, PKC'98 Pacifico Yokohama, Japan, February 5–6, 1998 Proceedings

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Sci. 547(1991), 316–327. Cas66. S. Cassels: Diophantine equations with special reference to elliptic curves, J. London Math. Soc, 41(1966) 193–291. Corrigenda: ibid, 42(1967) 183. Cas91. S. Cassels: Lectures on elliptic curves, London Math. Soc. 24(1991), Cambridge UP: Cambridge. CM94. -M. Couveignes, F.

What does 2(P + Q) mean? Do not confuse Z-valued function on C with K-valued function on C. Several authors introduce divisors as formal sums on C. Contrary to its name “formal”, they are neither imaginary nor virtual objects as is described as above. g. 11] for details. After sums and integer multiplication on divisors are rigorously defined, one can forget what divisors really are. Here ordP (f ) is the order of zeros of f at P . As usual, a zero of negative order n is interpreted as the pole of order −n.

We state this problem in the setting of a prime field Fp , as follows; • For a given set of (p, α, β), where p is prime, α ∈ Fp is a primitive element, and β ∈ F∗p . • Find the unique integer a, 0 ≤ a ≤ p − 2, such that αa ≡ β (mod p). The discrete logarithm problem in Fp For surveys of discrete logarithm problem in finite fields, we refer to [Odl85], [McC90] and [Odl94]. Here we note that there is a subexponential time algorithm called index calculus method to solve DLP in finite fields and that in order that DLP in finite fields to be difficult, p should be chosen carefully.

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