Lower Bounds of Differential and Linear Active S-boxes for Generalized Feistel Network with SP Type F-function
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| Title | Lower Bounds of Differential and Linear Active S-boxes for Generalized Feistel Network with SP Type F-function |
| Authors | |
| Abstract | This paper studies the minimum number of differential/linear active S-boxes for a class of generalized Feistel cipher with SP type F-function (GFNSP for short). We prove that m rounds m-GFNSP guarantee one differential active S-box and one linear active S-box, and 2m(m≥3) rounds guarantee differential active S-boxes and linear active S-boxes, where and are the differential and the linear branch number of the diffusion layer in F-function respectively. Hence, lower bound of the number of differential active S-boxes and that of linear active S-boxes for GFNSP with arbitrary round are deduced respectively, moreover, the previous one could be reachable for and as well as the latter one be reachable for and , where denotes the number of rounds. |
| Publisher | ACADEMY PUBLISHER |
| Date | 2012-02-01 |
| Source | Journal of Networks Vol 7, No 2 (2012): Special Issue: Recent Advances in Information Networking, Services and Security |
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