Initial results on the rotation symmetric bent-negabent functions
Document Type
Conference Article
Publication Title
7th International Workshop on Signal Design and Its Applications in Communications, IWSDA 2015
Abstract
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.
First Page
80
Last Page
84
DOI
10.1109/IWSDA.2015.7458419
Publication Date
4-22-2016
Recommended Citation
Sarkar, Sumanta and Cusick, Thomas, "Initial results on the rotation symmetric bent-negabent functions" (2016). Conference Articles. 731.
https://digitalcommons.isical.ac.in/conf-articles/731
