Download e-book for kindle: Advances in Cryptology — CRYPTO 2000: 20th Annual by Arjen K. Lenstra, Eric R. Verheul (auth.), Mihir Bellare

By Arjen K. Lenstra, Eric R. Verheul (auth.), Mihir Bellare (eds.)

ISBN-10: 3540445986

ISBN-13: 9783540445982

ISBN-10: 3540679073

ISBN-13: 9783540679073

This booklet constitutes the refereed complaints of the 20 th Annual overseas Cryptology convention, CRYPTO 2000, held in Santa Barbara, CA, united states in August 2000. The 32 revised complete papers offered including one invited contribution have been rigorously reviewed and chosen from one hundred twenty submissions. The papers are equipped in topical sections on XTR and NTRU, privateness for databases, safe disbursed computation, algebraic cryptosystems, message authentication, electronic signatures, cryptanalysis, traitor tracing and broadcast encryption, symmetric encryption, to devote or to not devote, protocols, and movement ciphers and Boolean services.

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Extra resources for Advances in Cryptology — CRYPTO 2000: 20th Annual International Cryptology Conference Santa Barbara, California, USA, August 20–24, 2000 Proceedings

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N n+m−1 2. Select a suitable c with c ≡ 0 mod p, (m + n)c < q/2 and (m + n + 1)c > q/2. A Chosen-Ciphertext Attack against NTRU 33 3. Select a value of a polynomial P. P = xi1 + · · · + xin + h (xj1 + · · · + xjm ) (mod q) 4. Produce m corresponding to cP : m = [m + H(m, [cP ]p )X N −k + G([cP ]p )]p with m = [−G([cP ]p )]p mod X N −K . 5. Ask the decryption of cP + m . The answer should be m. If not, go back to 3. 6. For all i such that [[cxi + cP ]q ]p = [[cP ]q ]p , ask decryption of cxi + cP + m .

3, we want to build cipher texts such that the intermediate values in the deciphering process will differ from the true values. We first consider the effect of deciphering a cipher text of the form ch + c, where c is an integer and h is the public key. The decryption algorithm first multiplies by f modulo q: a≡f ch + cf ≡ cg + cf (mod q) (mod q), where g and f both have coefficients equal to 0, 1 or −1. Hence the polynomial cf + cg have coefficients equal to 0, c, −c, 2c or −2c. We then need to reduce the ´ Eliane Jaulmes and Antoine Joux 24 coefficients of a between −q/2 and q/2.

De Santis, editor, Advances in Cryptology — EUROCRYPT’94, volume 950 of Lecture Notes in Computer Science, pages 92–111. Springer-Verlag, 1994. 3. D. Coppersmith and A. Shamir. Lattice attacks on NTRU. In Advances in Cryptology — EUROCRYPT’97, volume 1233 of Lecture Notes in Computer Science, pages 52–61, 1997. 4. Eiichiro Fujisaki and Tatsuaki Okamoto. Secure integration of asymmetric and symmetric encryption schemes. In Michael Wiener, editor, Advances in Cryptology — CRYPTO’99, volume 1666 of Lecture Notes in Computer Science, pages 537– 554.

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Advances in Cryptology — CRYPTO 2000: 20th Annual International Cryptology Conference Santa Barbara, California, USA, August 20–24, 2000 Proceedings by Arjen K. Lenstra, Eric R. Verheul (auth.), Mihir Bellare (eds.)


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