%0 Journal Article
%T Lower Bounds of Differential and Linear Active S-boxes for Generalized Feistel Network with SP Type F-function
%A Ting Cui
%A Chenhui Jin
%J Journal of Networks
%D 2012
%I Academy Publisher
%R 10.4304/jnw.7.2.282-287
%X 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¡Ý3) 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.
%K block cipher
%K generalized Feistel network
%K SPN
%K active S-boxes
%U http://ojs.academypublisher.com/index.php/jnw/article/view/5657