Initial Results on the Rotation Symmetric Bent-Negabent Functions

被引：0
|
作者：
Sarkar, Sumanta [1 ]
Cusick, Thomas [2 ]
机构：
[1] Indian Stat Inst, Ctr Excellence Cryptol, Kolkata, India
[2] Univ Buffalo, Buffalo, NY 14260 USA
来源：
2015 SEVENTH INTERNATIONAL WORKSHOP ON SIGNAL DESIGN AND ITS APPLICATIONS IN COMMUNICATIONS (IWSDA) | 2015年
关键词：
Rotation symmetric Boolean function; negabent function; nega-Hadamard transform; nega-Hadamard matrix; bent function; BOOLEAN FUNCTIONS;
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
For the first time in the literature, we investigate the negabent Boolean functions in the class of rotation symmetric Boolean functions. We derive a matrix to analyze the negabent property of rotation symmetric negabent Boolean functions. The dimension of this matrix is much smaller than the nega-Hadamard matrix. We show that for even n <= 8, there is no rotation symmetric negabent function which is also bent. Taking the cue from this numerical results, we prove that there is no rotation symmetric Boolean function of degree 2 which is both bent and negabent.
引用
收藏
页码：80 / 84
页数：5
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