Results on the nonexistence of bent-negabent rotation symmetric Boolean functions

被引:0
|
作者
Lei Sun
Zexia Shi
Jian Liu
Fang-Wei Fu
机构
[1] Hebei University of Economics and Business,College of Information Technology
[2] Hebei Normal University,School of Mathematical Sciences
[3] Tianjin University,College of Intelligence and Computing
[4] Nankai University,Chern Institute of Mathematics and LPMC
来源
关键词
Bent-negabent function; Rotation symmetric Boolean function; Nega-Hadamard transform; Walsh-Hadmard transform;
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中图分类号
学科分类号
摘要
In this paper, we study the conjecture that there doesn’t exist bent-negabent rotation symmetric Boolean functions. We prove that the conjecture is true for almost all the cases based on the properties of autocorrelation spectra and the enumeration formulas of orbits.
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页码:999 / 1008
页数:9
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