Acta Scientiarum Naturalium Universitatis Pekinensis

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Orthogonal Bent Functions and High Nonlinearity Balanced Functions Satisfying SAC

WANG Zhangxiong   

  1. Mathematics Department of Jingzhou Teachers College, Hubei, 434100
  • Received:2001-05-11 Online:2002-05-20 Published:2002-05-20

正交Bent函数组与高非线性度满足SAC平衡函数

王章雄   

  1. 荆州师范学院数学系,湖北省荆州市,434100

Abstract: It is constructed that a class of orthogonal Bent sequences, and used them to get balanced functions with high nonlinearity and satisfying SAC. The results are more extending.

Key words: balanced function, Bent function, orthogonal Bent sequence, concatenation, nonlinearity, strict avalanche criterion(SAC)

摘要: 通过构造一组正交的Bent函数(序列),利用它进一步构造出一类具有高非线性度、满足SAC的平衡函数,得到比较广泛的结果。

关键词: 平衡函数, Bent函数, 正交Bent序列, 级联, 非线性度, SAC

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