| Presentation | 2015-12-18 [Invited Talk] Higher Order Differntial Attack and Integral Attack Toshinobu Kaneko, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Higher order differential (HOD) attack and Integral attack are one of the general purpose attacks to common key block ciphers. The former uses the concept of recursive application of differential of discrete functions, and the latter uses the XOR sum property of discrete functions. As HOD can be also expressed as XOR-sum formula, they are very similar, but Integral attack has a wider concept. Todo introduced the Division property as the method to find good integral characteristic. This article uses the Division property as a link of HOD and Integral, and shows the followings. The best Integral attack derived by Division property is equal to the HOD attack. The data complexity is the same; both needs $2^{d+1}$ texts for non-linear function $f(Vec{x})$ of degree $d$. The number of different characteristics is the same for both attacks. It is $2^{m-d-1}prod ^d_{i=0}frac{2^{m-i}-1}{2^{d-i}-1}$, where $m$ is a input width of $f(Vec{x})$. These results are derived from the minimum distance and weight distribution of RM codes. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Higer order differential attack / Integral attack / Division property / common key block cipher |
| Paper # | ISEC2015-58 |
| Date of Issue | 2015-12-11 (ISEC) |
| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2015/12/18(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kikai-Shinko-Kaikan Bldg. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Yukiyasu Tsunoo(NEC) |
| Vice Chair | Masahiro Mambo(Kanazawa Univ.) / Kazuto Ogawa(NHK) |
| Secretary | Masahiro Mambo(AIST) / Kazuto Ogawa(Toshiba) |
| Assistant | Tetsuya Izu(Fujitsu Lab.) / Takaaki Mizuki(Tohoku Univ.) / Noritaka Yamashita(NEC) |
| Paper Information | |
| Registration To | Technical Committee on Information Security |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | [Invited Talk] Higher Order Differntial Attack and Integral Attack |
| Sub Title (in English) | |
| Keyword(1) | Higer order differential attack |
| Keyword(2) | Integral attack |
| Keyword(3) | Division property |
| Keyword(4) | common key block cipher |
| 1st Author's Name | Toshinobu Kaneko |
| 1st Author's Affiliation | Tokyou University of Science(TUS) |
| Date | 2015-12-18 |
| Paper # | ISEC2015-58 |
| Volume (vol) | vol.115 |
| Number (no) | ISEC-376 |
| Page | pp.pp.23-29(ISEC), |
| #Pages | 7 |
| Date of Issue | 2015-12-11 (ISEC) |