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| Presentation | 2022-11-18 14:55 Active S-box Number Analysis with MILP of Type-2 Generalized Feistel Structure Consisting of Multiple SP Layers F-function Masaya Okazaki, Tetsu Iwata (Nagoya Univ.)  ISEC2022-36 SITE2022-40 LOIS2022-20 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Type-2 Generalized Feistel Structure (GFS) is known as a way to construct a secure block cipher. It is a $dm$-bit ($d ge 4$) block cipher using a pseudorandom function with the input size of $m$ bits as the internal $F$-function. For the cyclic shift used between the rounds of Type-2 GFS, Suzaki and Minematsu proposed replacing it with an optimal block shuffle that requires the fewest number of rounds to diffuse input differences (FSE 2010). For Type-2 GFS with $d=4$, Bogdanov and Shibutani proposed to use the SPS structure as the $F$-function and they theoretically derived a lower bound on the number of active S-boxes (DCC~66(1), 2013). For the case where the $F$-function uses the SP structure and a cyclic shift or optimal block shuffle, Sajadieh and Vaziri found the minimum number of active S-boxes by using MILP in the range of $d le 16$ (Indocrypt 2018). In this paper, we derive the minimum number of active S-boxes using MILP in the range of $d le 16$ for the case where the $F$-function has the SPS or SPSP structure, and cyclic shift or optimal block shuffle is used as the shuffle between the rounds. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Block cipher / Type-2 GFS / Active S-box / MILP / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 122, no. 258, ISEC2022-36, pp. 32-38, Nov. 2022. | |
| Paper # | ISEC2022-36 | |
| Date of Issue | 2022-11-11 (ISEC, SITE, LOIS) | |
| ISSN | Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | ISEC2022-36 SITE2022-40 LOIS2022-20 |
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| Conference Information | |
| Committee | ISEC SITE LOIS |
| Conference Date | 2022-11-18 - 2022-11-18 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | ISEC |
| Conference Code | 2022-11-ISEC-SITE-LOIS |
| Language | Japanese |
| 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 Consisting of Multiple SP Layers F-function |
| Sub Title (in English) | |
| Keyword(1) | Block cipher |
| Keyword(2) | Type-2 GFS |
| Keyword(3) | Active S-box |
| Keyword(4) | MILP |
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| Keyword(8) | |
| 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.) |
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| Speaker | Author-1 |
| Date Time | 2022-11-18 14:55:00 |
| Presentation Time | 25 minutes |
| Registration for | ISEC |
| Paper # | ISEC2022-36, SITE2022-40, LOIS2022-20 |
| Volume (vol) | vol.122 |
| Number (no) | no.258(ISEC), no.259(SITE), no.260(LOIS) |
| Page | pp.32-38 |
| #Pages | 7 |
| Date of Issue | 2022-11-11 (ISEC, SITE, LOIS) |
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