New classes of generalized boolean bent functions over Z4
New classes of generalized boolean bent functions over Z4
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DOI：
10.1109/isit.2012.6284679
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发表时间：
2012-07
期刊：
影响因子：
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通讯作者：
Nian Li;Xiaohu Tang;T. Helleseth
中科院分区：
文献类型：
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作者：
Nian Li;Xiaohu Tang;T. Helleseth
本文构造了新的多项式形式的二次Bent函数。这些构造给出了新的布尔Bent函数和广义布尔Bent函数。基于Z4-值二次型，给出了几种新的广义布尔Bent函数的构造方法。从这些广义布尔Bent函数出发，给出了将其转化为二元Bent函数和半Bent函数的方法。
New quadratic bent functions in polynomial forms are constructed in this paper. The constructions give new boolean bent and generalized boolean bent functions. Based on Z4-valued quadratic forms, a simple method provides several new constructions of generalized boolean bent functions. From these generalized boolean bent functions a method is presented to transform them into binary bent and semi-bent functions.