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一类广义Bent函数的构造和性质

JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS(2003)

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Abstract
给出了一类广义Bent函数的递归构造方法,并讨论了它们的性质.这类广义Bent函数具有高非线性性,平衡性,且具有一致相关值,并且当k满足(3≤k≤n-1) 时可构造出任意k次的广义Bent函数,亦即在GF(2)n上存在满足上述性质的n-1次广义Bent函数.
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