By Kenji Koyama, Yukio Tsuruoka, Noboru Kunihiro (auth.), Kwok-Yan Lam, Eiji Okamoto, Chaoping Xing (eds.)
Asiacrypt’99 was once held in Singapore on 14-18 November 1999. Asiacrypt is without doubt one of the significant occasions within the cryptology examine neighborhood. Asiacrypt’99, the ?fth annual Asiacrypt convention, was once subsidized via the Asiacrypt steerage Comm- tee and the Centre for platforms protection of the nationwide college of Singapore, and in cooperation with the overseas organization for Cryptology learn. because the application Co-Chairs of Asiacrypt’99, we're tremendous commemorated to or- nize this occasion, which showcases the cutting-edge 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 state of foundation of submissions serves as an excellent indicator of the - ternational acceptance of the convention. international locations 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 by way of this system C- mittee, 31 papers of exceptional caliber have been permitted and are integrated within the convention lawsuits. accredited papers have been authored by means of 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 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
We call this attack a probabilistic higher order diﬀerential attack because our attack is a generalization of the higher order diﬀerential attack to a probabilistic one.
0. 0. This is caused by the diﬀerence in the S-box construction. We explain this as follows (see appendix for details). 1. 2 . 2 . 2. 2 . 6 2 structures (2 plaintexts) as shown in 2. Totally 2 plaintext and ciphertext pairs are needed for an attack. 3 × 245 π ◦ τ ◦ γ ◦ σKe computations are needed. Since 5 round encryption consists of 5 applications of π ◦ τ ◦ γ ◦ σKe , this time complexity is equal to about 243 encryptions. 4 pairs remain for each case as shown in 1 or 2. 50 Haruki Seki and Toshinobu Kaneko Round 0 Plaintext σ Round 1 γ π τ σ π τ σ Round 2 γ 0α00 0β00 0γ00 0δ00 0δ00 0α00 0β00 0γ00 0δ00 Round 3 γ π 00ε0 00ζ0 00η0 00θ0 0δ00 0γ00 0γ00 0β00 0β00 0α00 0α00 τ σ τ σ 00ε0 00ζ0 00η0 00θ0 Round 4 γ π Round 5 γ Fig.
Linear column-to-row transposition τ : This operation simply rearranges 4×4 byte array by moving the byte at the (i, j)-th position to the (j, i)-th position. - Key addition σKei : This operation is xoring data with i-th roundkey Kei of 128 bits. The encryption round functions are deﬁned for odd and even rounds as follows. - ρoKei (A) = (σKei ◦ τ ◦ πo ◦ γo )(A) for odd rounds - ρeKei (A) = (σKei ◦ τ ◦ πe ◦ γe )(A) for even rounds And linear output transformation φe is used at last round. - φe = τ ◦ πe ◦ τ Then encryption of full 12-round CRYPTON is described as - Enc = φe ◦ ρeKe12 ◦ ρoKe11 ◦ · · · ◦ ρeKe2 ◦ ρoKe1 ◦ σKe0 We don’t consider the use of φe in our attack, because this function uses only known quantities.
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.)