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Advances in Cryptology - ASIACRYPT 2003: 9th International - download pdf or read online

By Duong Hieu Phan, David Pointcheval (auth.), Chi-Sung Laih (eds.)

ISBN-10: 3540205926

ISBN-13: 9783540205920

This publication constitutes the refereed lawsuits of the ninth overseas convention at the thought and alertness of Cryptology and knowledge safeguard, ASIACRYPT 2003, held in Taipei, Taiwan in November/December 2003.

The 32 revised complete papers provided including one invited paper have been conscientiously reviewed and chosen from 188 submissions. The papers are equipped in topical sections on public key cryptography, quantity thought, effective implementations, key administration and protocols, hash capabilities, staff signatures, block cyphers, broadcast and multicast, foundations and complexity thought, and electronic signatures.

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Download e-book for kindle: Advances in Cryptology - ASIACRYPT 2003: 9th International by Duong Hieu Phan, David Pointcheval (auth.), Chi-Sung Laih

This booklet constitutes the refereed court cases of the ninth foreign convention at the idea and alertness of Cryptology and data safeguard, ASIACRYPT 2003, held in Taipei, Taiwan in November/December 2003. The 32 revised complete papers awarded including one invited paper have been rigorously reviewed and chosen from 188 submissions.

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Additional resources for Advances in Cryptology - ASIACRYPT 2003: 9th International Conference on the Theory and Application of Cryptology and Information Security, Taipei, Taiwan, November 30 – December 4, 2003. Proceedings

Example text

Sho01. V. 239– 259, 2001. Tak97. T. 372-384, 1997. 1 Basic Result Let ZERO(n, e, α) be the set of ciphertexts for m = 0 and ALL(n, e, α) be the set of ciphertexts for all m ∈ Zn . That is, α r α ALL(n, e, α) = { r + r ZERO(n, e, α) = { r + e mod n2 | r ∈ Zn∗ is principal} e + mn mod n2 | m ∈ Zn and r ∈ Zn∗ is principal}. 34 Kaoru Kurosawa and Tsuyoshi Takagi Define Reciprocal0 (n, e, α) = {(n, e, α, x) | x ∈ ZERO(n, e, α)} ReciprocalALL (n, e, α) = {(n, e, α, x) | x ∈ ALL(n, e, α)} Note that we have Reciprocal0 (n, e, α) = SM ALLRSAK (n, e, α) from their definition.

Encrypt - Given a message m ∈ ZN , a random pad r is chosen uniformly and at random in ZN 2 the ciphertext (A, B) is computed as A = g r mod N 2 B = hr (1 + mN ) mod N 2 . First Decryption Procedure - Knowing a, one can compute m as follows B/(Aa ) − 1 mod N 2 . N Alternate Decryption Procedure - If the factorization of the modulus is provided, one can compute a mod N and r mod N as seen in the previous section. Let ar mod ord(G) = γ1 + γ2 N , thus γ1 = ar mod N is efficiently computable. Note that m= D= B g γ1 λ(N ) λ(N ) = (g ar (1 + mN )) g γ1 λ(N ) = 1 + mλ(N )N mod N 2 .

Let (n, e, α, x) be the input to D, where x ∈ ZERO(n, e, α) or x ∈ ALL(n, e, α). 1. D gives pk = (n, e, α) to B1 . 2. Then B1 outputs (m0 , m1 , state). 3. D chooses a bit b randomly and computes cb = x + mb n mod n2 . D gives (cb , state) to B2 . 4. B2 outputs a bit ˜b. 5. D outputs ”0” if ˜b = b. Otherwise, D outputs ”1”. Let P0 denote the probability that D = 0 for x ∈ ZERO(n, e, α) and PALL denote the probability that D = 0 for x ∈ ALL(n, e, α). Now if x ∈ ALL(n, e, α), then cb is uniformly distributed over ALL(n, e, α) for both b = 0 and 1.

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Advances in Cryptology - ASIACRYPT 2003: 9th International Conference on the Theory and Application of Cryptology and Information Security, Taipei, Taiwan, November 30 – December 4, 2003. Proceedings by Duong Hieu Phan, David Pointcheval (auth.), Chi-Sung Laih (eds.)


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