Download e-book for kindle: Advances in Cryptology - ASIACRYPT’99: International by Kenji Koyama, Yukio Tsuruoka, Noboru Kunihiro (auth.),

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 without doubt one of the significant occasions within the cryptology study neighborhood. Asiacrypt’99, the ?fth annual Asiacrypt convention, used to be backed by means of the Asiacrypt steerage Comm- tee and the Centre for structures protection of the nationwide college of Singapore, and in cooperation with the foreign organization for Cryptology study. because the application Co-Chairs of Asiacrypt’99, we're tremendous venerated to or- nize this occasion, which showcases the cutting-edge improvement of cryptology learn on the end of this millennium. This yr, a complete of ninety six examine papers have been submitted to Asiacrypt’99. The portfolio of state of starting place of submissions serves as a superb indicator of the - ternational recognition of the convention. nations from which submissions or- inated contain: 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 through this system C- mittee, 31 papers of exceptional caliber have been permitted and are integrated within the convention court cases. authorised papers have been authored through researchers from the next nations: Australia, Belgium, France, Germany, India, Japan, China, Singapore, Switzerland, Taiwan, The Netherlands, united kingdom, and USA.

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Extra 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

Example text

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. Then the least significant byte of the key has the value 08x . – We calculate the least significant byte of s02 . This gives e0x .

For the 128-bit variant of HPC, we can find 290 equivalence classes, each containing 230 elements. 3 Equivalent Keys (Key Length Equal to 128 Bits) Before the stirring function is applied to the KX-table, the user key is XORed into the KX-table (see Sect. 2). For the AES candidate HPC with user key length equal to 128 bits, only KX[0] and KX[1] are influenced by the user key. The other values KX[2] up to KX[255] are independent of the 128-bit user key. Of course this is only true before the stirring function is applied to the KX-table.

As Yamamura observes, this action gives rise to an efficient algorithm to compute the normal form (1) of an arbitrary element g ∈ SL2 (Z), up to sign; we may describe this algorithm as follows. Define regions O, P , Q and R of H by O = {z ∈ H : |z| > 1, |Re(z)| ≤ 1/2}, P = {z ∈ H : |z| ≥ 1, |Re(z)| ≥ 1/2}, Q = {z ∈ H : |z| ≤ 1, |z − 1| ≤ 1} and R = H − (O ∪ P ∪ Q). These regions are depicted in Figure 1. O P R Q Fig. 1. ) Choose a point z0 in the interior of O; for example z0 = 2i. Define z = g(z0 ).

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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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