Public Key Cryptography – PKC 2004: 7th International by Johannes Blömer, Alexander May (auth.), Feng Bao, Robert

By Johannes Blömer, Alexander May (auth.), Feng Bao, Robert Deng, Jianying Zhou (eds.)

This ebook constitutes the refereed court cases of the seventh foreign Workshop on thought and perform in Public Key Cryptography, PKC 2004, held in Singapore in March 2004.

The 32 revised complete papers awarded have been rigorously reviewed and chosen from 106 submissions. All present concerns in public key cryptography are addressed starting from theoretical and mathematical foundations to a vast number of public key cryptosystems.

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Public Key Cryptography – PKC 2004: 7th International Workshop on Theory and Practice in Public Key Cryptography, Singapore, March 1-4, 2004. Proceedings

This ebook constitutes the refereed court cases of the seventh overseas Workshop on thought and perform in Public Key Cryptography, PKC 2004, held in Singapore in March 2004. The 32 revised complete papers provided have been rigorously reviewed and chosen from 106 submissions. All present matters in public key cryptography are addressed starting from theoretical and mathematical foundations to a wide number of public key cryptosystems.

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25 (1989), pp. 191–210. 2. R. M. Avanzi. On the complexity of certain multi-exponentiation techniques in cryptography. To appear in Journal of Cryptology. 3. K. Fong, D. Hankerson, J. Lopez and A. Menezes. Field inversion and point halving revisited. ps, Unpublished Manuscript. 4. D. Hankerson, J. Lopez-Hernandez, and A. Menezes. Software Implementatin of Elliptic Curve Cryprography over Binary Fields. In: Proceedings of CHES 2000. LNCS 1965, pp. 1–24. Springer, 2001. 5. E. W. Knudsen. Elliptic Scalar Multiplication Using Point Halving.

Bleichenbacher, A. Kiayias and M. Yung, Decoding of Interleaved Reed Solomon Codes over Noisy Data, proceedings of ICALP 2003. 5. S. org/. 6. P. Gemmell and M. Sudan, Highly resilient correctors for multivariate polynomials, Information Processing Letters, 43(4): 169–174, September 1992. 7. V. Guruswami and M. Sudan, Improved decoding of Reed-Solomon and AlgebraicGeometric codes, IEEE Transactions on Information Theory, 45 : 1757-1767, 1999. 8. A. Kiayias and M. Yung, Cryptographic hardness based on the decoding of ReedSolomon codes with applications, Proceedings of ICALP 2002, LNCS 2380, pp 232-243, 2002.

For the right candidate the vector is equal to where the weight of is less than the error correcting capacity of the Reed-Solomon code. Therefore, using Berlekamp-Welsh algorithm, one recovers the plaintext from in polynomial time. More precisely, let be the solution of (3). Given a solution V, N, of (5) with we have for all Cryptanalysis of a Public-Key Encryption Scheme Since the error vector values of has a weight at most 19 we have for at least N and are therefore two polynomials of degree less than which take the same value on at least distinct points; consequently, the two polynomials must be equal.

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