By Arjen K. Lenstra, Adi Shamir, Jim Tomlinson (auth.), Yuliang Zheng (eds.)
This ebook constitutes the refereed complaints of the eighth overseas convention at the conception and alertness of Cryptology and data safeguard, ASIACRYPT 2002, held in Singapore, in December 2002.
The 34 revised complete papers offered including invited contributions have been conscientiously reviewed and chosen from 173 submissions at the foundation of 875 overview studies. The papers are prepared in topical sections on public key cryptography, authentication, idea, block ciphers, dispensed cryptography, cryptanalysis, public key cryptanalysis, mystery sharing, electronic signatures, purposes, Boolean features, key administration, and ID-based cryptography.
Read or Download Advances in Cryptology — ASIACRYPT 2002: 8th International Conference on the Theory and Application of Cryptology and Information Security Queenstown, New Zealand, December 1–5, 2002 Proceedings PDF
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Extra info for Advances in Cryptology — ASIACRYPT 2002: 8th International Conference on the Theory and Application of Cryptology and Information Security Queenstown, New Zealand, December 1–5, 2002 Proceedings
6 The public key is PK=(N , g, H, g2 , c, d, e). – Key Encapsulation KE(PK): • Compute k = uz11 uz22 , α = H(u1 , u2 ), t = ux1 1 +y1 α ux2 2 +y2 α . • The ciphertext is (u1 , u2 , t), the encapsulated key is k. – Key Decapsulation KD(SK,(U1 , U2 , T )): • Compute K = U1z1 U2z2 , A = H(U1 , U2 ), T = U1x1 +y1 A U2x2 +y2 A . • If T = T then output K , else reject. 6 A Proof of Security in the Standard Model In this section, we prove the security of the Cramer-Shoup Cryptosystem in QRN in the standard model.
3), this produces an opportunity for reducing the cost Analysis of Bernstein’s Factorization Circuit 19 of multiplication, as follows. Recall that in block Wiedemann, we need to perform K multiplication chains of the form Ak v i , for i = 1, . . , K and k = 1, . . , 2D/K, and later again, for k = 1, . . , D/K. The idea is to perform several chains in parallel on a single mesh, reusing most resources (in particular, the storage taken by A). For simplicity, we will consider handling all K chains on one mesh.
2. A asks for the decapsulation of a ciphertext (U1 , U2 , T∗ ), without having asked for h(1, K , U1 , U2 ) before (K is deﬁned in Equation (7)). In this case, F always rejects, while the attack games reject with the probability 1/pq. Since A can ask for the decapsulation of qkd ciphertext, the entire probability that any random ciphertext is not rejected in an attack game is ≤ qkd /pq. Even if A could always distinguish the “real” encapsulated key from a random value when asking for h(3, τ, u1 , u2 ) without asking for h(2, k, u1 , u2 ) before, or when a random ciphertext (U1 , U2 , T∗ ) in a key decapsulation query is not rejected, the probability for F to factorise N would not be less than q3 + qkd qkd aA − − .