Read e-book online Advances in Cryptology - ASIACRYPT’99: International PDF

By Kenji Koyama, Yukio Tsuruoka, Noboru Kunihiro (auth.), Kwok-Yan Lam, Eiji Okamoto, Chaoping Xing (eds.)

ISBN-10: 3540666664

ISBN-13: 9783540666660

Asiacrypt’99 was once held in Singapore on 14-18 November 1999. Asiacrypt is likely one of the significant occasions within the cryptology study neighborhood. Asiacrypt’99, the ?fth annual Asiacrypt convention, used to be backed by way of the Asiacrypt steerage Comm- tee and the Centre for platforms safety of the nationwide collage of Singapore, and in cooperation with the foreign organization for Cryptology study. because the software Co-Chairs of Asiacrypt’99, we're super venerated to or- nize this occasion, which showcases the state of the art improvement of cryptology study on the end of this millennium. This 12 months, a complete of ninety six study papers have been submitted to Asiacrypt’99. The portfolio of kingdom of starting place of submissions serves as a very good indicator of the - ternational acceptance of the convention. nations from which submissions or- inated comprise: Australia, Belgium, China, Estonia, France, Germany, Greece, India, Iran, Japan, Korea, Norway, Russia, Saudi Arabia, Switzerland, Sin- pore, Spain, Taiwan, Thailand, The Netherlands, Turkey, Ukraine, united kingdom, united states and Yugoslavia. via a stringent refereeing approach through this system C- mittee, 31 papers of exceptional caliber have been permitted and are integrated within the convention complaints. accredited papers have been authored through researchers from the subsequent nations: Australia, Belgium, France, Germany, India, Japan, China, Singapore, Switzerland, Taiwan, The Netherlands, united kingdom, and USA.

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Asiacrypt’99 was once held in Singapore on 14-18 November 1999. Asiacrypt is among the significant occasions within the cryptology examine group. Asiacrypt’99, the ? fth annual Asiacrypt convention, used to be subsidized by means of the Asiacrypt guidance Comm- tee and the Centre for structures safeguard of the nationwide collage of Singapore, and in cooperation with the overseas organization for Cryptology learn.

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Additional resources for Advances in Cryptology - ASIACRYPT’99: International Conference on the Theory and Application of Cryptology and Information Security, Singapore, November 14-18, 1999. Proceedings

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198-212. 52 8. W. Press, B. Flannery, S. Teukolsky and W. Vetterling, Numerical Recipes in C, 2nd Edition, Cambridge University Press, Cambridge, 1988. 59 9. M. A. Vanstone, ‘New public-key cryptosystems based on factorizations of finite groups’, presented at AUSCRYPT ‘92. 52 Cryptanalysis of Two Cryptosystems Based on Group Actions 61 10. M. A. Vanstone, ‘The knapsack problem in cryptography’ in Finite fields: Theory, Applications, and Algorithms, Contemporary Mathematics Vol. 168, American Mathematical Society, 1994, pp.

Y. Lam, E. Okamoto and C. ): ASIACRYPT’99, LNCS 1716, pp. 52–61, 1999. c Springer-Verlag Berlin Heidelberg 1999 Cryptanalysis of Two Cryptosystems Based on Group Actions 53 proposed in [13] to the security of the cryptosystem proposed in [14]; hence both cryptosystems are insecure. The rest of this paper is organised as follows. Section 2 contains the background on SL2 (Z) that we require. Section 3 describes the two cryptosystems that Yamamura proposes. Section 4 cryptanalyses these systems, and Section 5 discusses a slightly more general class of cryptosystems.

4. We decrypt remaining pairs with all possible 32-bit value of i-th row of Keq The decryption is expressed as follows. (A5γ [i][0] , A5γ [i][1], A5γ [i][2], A5γ [i][3]) 5 5 [i][0]), γo (Bγ5 [i][1] ⊕ Keq [i][1]) γo (Bγ5 [i][0] ⊕ Keq = 5 5 , γo (Bγ5 [i][2] ⊕ Keq [i][2]), γo (Bγ5 [i][3] ⊕ Keq [i][3]) . (2) 5 of round key Ke5 as follows. Where we express equivalent key Keq 5 Keq = πo τ (Ke5 ) . (3) 5. Next we calculate the difference of the i-th column of Bγ4 as follows. (Bγ4 [0][i] , Bγ4 [1][i], Bγ4 [2][i], Bγ4 [3][i])t = πe τ (A5γ [i][0], A5γ [i][1], A5γ [i][2], A5γ [i][3]) t .

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Advances in Cryptology - ASIACRYPT’99: International Conference on the Theory and Application of Cryptology and Information Security, Singapore, November 14-18, 1999. Proceedings by Kenji Koyama, Yukio Tsuruoka, Noboru Kunihiro (auth.), Kwok-Yan Lam, Eiji Okamoto, Chaoping Xing (eds.)


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