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Kenji Koyama, Yukio Tsuruoka, Noboru Kunihiro (auth.),'s 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 used to be held in Singapore on 14-18 November 1999. Asiacrypt is likely one of the significant occasions within the cryptology learn neighborhood. Asiacrypt’99, the ?fth annual Asiacrypt convention, was once backed through the Asiacrypt guidance Comm- tee and the Centre for structures defense 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 tremendous venerated to or- nize this occasion, which showcases the state of the art improvement of cryptology examine 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 foundation of submissions serves as an outstanding indicator of the - ternational attractiveness 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 technique via this system C- mittee, 31 papers of exceptional caliber have been approved and are incorporated within the convention lawsuits. accredited papers have been authored by means of researchers from the subsequent international locations: Australia, Belgium, France, Germany, India, Japan, China, Singapore, Switzerland, Taiwan, The Netherlands, united kingdom, and USA.

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Extra info 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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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 . (4) Cryptanalysis of Five Rounds of CRYPTON 49 As we know that such a difference as those of the form (b) is impossible, every key that proposes such a difference is a wrong key. For each pair we try 5 all the 232 possible values of the i-th row of equivalent key Keq , and verify whether the decrypted values have the form (b).

We now have obtained a weak key. This means that the number of weak keys is exactly 2120 (since we chose freely 120 bits to construct the weak key). This means that exactly 2−8 of the keys are weak keys. In Sect. 3 it is proven that each weak key has 230 equivalent keys. 42 Carl D’Halluin et al. Example We now construct a weak key, using the techniques described in the previous section. – We assign the bit value 0 to bits 2, 4, 5, 6 and 7 of KL . We set bit 0 and 1 of KL equal to 0, and set bit 3 of KL equal to 1.

52 11. S. Robinson, A Course in the Theory of Groups, Springer, New York, 1982. 53 12. J-P. Tillich and G. G. Desmedt (Ed), Advances in Cryptology — CRYPTO ’94, Lecture Notes in Computer Science 839, Springer, Berlin, 1994, pp. 40-49. 52 13. A. Yamamura, ‘Public-key cryptosystems using the modular group’, in Imai, Hideki (Eds) et al. International Workshop on the Theory and Practice of Cryptography, Lecture Notes in Computer Science 1431, Springer, Berlin, 1998, pp. 203-216. 52, 53, 55, 56 14. A.

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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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