Constructions of Generalized Bent Boolean Functions on Odd Number of Variables
Constructions of Generalized Bent Boolean Functions on Odd Number of Variables
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DOI：
10.14257/ijhit.2015.8.5.09
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发表时间：
2015-05
期刊：
影响因子：
--
通讯作者：
Yong Zhao;Fengrong Zhang;Yu-pu Hu
中科院分区：
文献类型：
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作者：
Yong Zhao;Fengrong Zhang;Yu-pu Hu
本文研究了定义在Z4中值的广义Bent布尔函数的构造。我们首先给出了定义在Z4中的广义Bent布尔函数的构造。其主要技术是利用Bent函数导出奇数个变量的广义Bent函数。此外，利用布尔置换，给出了一种构造奇数变量广义Bent函数的具体方法。
In this paper, we investigate the constructions of generalized bent Boolean functions defined on with values in Z4. We first present a construction of generalized bent Boolean functions defined on with values in Z4. The main technique is to utilize bent functions to derive generalized bent functions on odd number of variables. In addition, by using Boolean permutations, we provide a specific method to construct generalized bent functions on odd number of variables.