| Presentation | 2023-03-15 Active S-box Number Analysis with MILP of Type-2 Generalized Feistel Structure Using Sub-Block Dividing Masaya Okazaki, Tetsu Iwata, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Type-2 Generalized Feistel Structures (GFSs) are a well-known structure for constructing secure block ciphers. At Indocrypt 2018, for Type-2 GFSs with an $F$ function based on the SP construction and either a cyclic shift or an optimized permutation proposed by Suzaki et al. for the round permutation, Sajadieh et al. derived a lower bound for the number of active S-boxes by using Mixed Integer Linear Programming (MILP). Okazaki et al. also presented a lower bound for the number of active S-boxes for Type-2 GFS with an $F$ function with the SPSP construction instead of the SP construction. Shibutani et al. proposed a round permutation for Type-2 GFSs that diffuses differences to all sub-blocks in 4 rounds by dividing a sub-block into a smaller size (CHES~2011, IPL~2022). In this paper, we derive a lower bound for the number of active S-boxes by using MILP for Type-2 GFS with an $F$ function based on either the SP or SPSP construction and the round permutation proposed by Shibutani et al. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Block cipher / Type-2 GFS / Active S-box / MILP / Sub-Block Dividing |
| Paper # | IT2022-134,ISEC2022-113,WBS2022-131,RCC2022-131 |
| Date of Issue | 2023-03-07 (IT, ISEC, WBS, RCC) |
| Conference Information | |
| Committee | RCC / ISEC / IT / WBS |
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| Conference Date | 2023/3/14(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Shunichi Azuma(Nagoya Univ.) / Noboru Kunihiro(Tsukuba Univ.) / Tetsuya Kojima(Tokyo Kosen) / Takashi Shono(Wind River) |
| Vice Chair | Shunichi Azuma(Hokkaido Univ.) / Koji Ishii(Kagawa Univ.) / Junji Shikata(Yokohama National Univ.) / Goichiro Hanaoka(AIST) / Yasuyuki Nogami(Okayama Univ.) / Hiroyasu Ishikawa(Nihon Univ.) / Hideki Ochiai(Yokohama National Univ.) |
| Secretary | Shunichi Azuma(CRIEPI) / Koji Ishii(Ritsumeikan Univ.) / Junji Shikata(AIST) / Goichiro Hanaoka(Ibaraki Univ.) / Yasuyuki Nogami(Saitamai Univ.) / Hiroyasu Ishikawa(Nagaoka Univ. of Tech.) / Hideki Ochiai(Okayama Prefectural Univ.) |
| Assistant | SHAN LIN(NICT) / Ryosuke Adachi(Yamaguchi Univ.) / Yoshikazu Hanatani(Toshiba) / Takayuki Nozaki(Yamaguchi Univ.) / Sun Ran(Ibaraki Univ.) / Chen Na(NAIST) |
| Paper Information | |
| Registration To | Technical Committee on Reliable Communication and Control / Technical Committee on Information Security / Technical Committee on Information Theory / Technical Committee on Wideband System |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Active S-box Number Analysis with MILP of Type-2 Generalized Feistel Structure Using Sub-Block Dividing |
| Sub Title (in English) | |
| Keyword(1) | Block cipher |
| Keyword(2) | Type-2 GFS |
| Keyword(3) | Active S-box |
| Keyword(4) | MILP |
| Keyword(5) | Sub-Block Dividing |
| 1st Author's Name | Masaya Okazaki |
| 1st Author's Affiliation | Nagoya University(Nagoya Univ.) |
| 2nd Author's Name | Tetsu Iwata |
| 2nd Author's Affiliation | Nagoya University(Nagoya Univ.) |
| Date | 2023-03-15 |
| Paper # | IT2022-134,ISEC2022-113,WBS2022-131,RCC2022-131 |
| Volume (vol) | vol.122 |
| Number (no) | IT-427,ISEC-428,WBS-429,RCC-430 |
| Page | pp.pp.419-426(IT), pp.419-426(ISEC), pp.419-426(WBS), pp.419-426(RCC), |
| #Pages | 8 |
| Date of Issue | 2023-03-07 (IT, ISEC, WBS, RCC) |