Constructions of Quadratic and Cubic Rotation Symmetric Bent Functions
Constructions of Quadratic and Cubic Rotation Symmetric Bent Functions
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DOI：
10.1109/tit.2012.2193377
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发表时间：
2012-07
影响因子：
2.5
通讯作者：
Guang-pu Gao;Xiyong Zhang;Wenfen Liu;C. Carlet
中科院分区：
文献类型：
--
作者：
Guang-pu Gao;Xiyong Zhang;Wenfen Liu;C. Carlet
In this paper, we consider constructions of rotation symmetric bent functions, which are of the forms: fc(x) = Σi=1m-1 ci(Σj=0n-1 xjxi+j) + cm(Σj=0m-1 xjxm+j) and ft(x) = Σi=0n-1 (xixt+ixm+i + xixt+i) + Σi=0m-1 xixm+i, where n = 2m, ci ϵ {0,1} (the subscript u of xu in the previous expressions is taken as u modulo n). For each case, a necessary and sufficient condition is obtained. To the best of our knowledge, this class of cubic rotation symmetric bent functions is the first example of an infinite class of nonquadratic rotation symmetric bent functions.
