Acta Scientiarum Naturalium Universitatis Pekinensis
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WANG Zhangxiong
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王章雄
Abstract: By constructing a special class of matrices called M-type matrices, this paper has proved that the sequence gaining from concatenating the rows of a M-type matrix is a bent sequence and therefore generalized the results of [1] and [2].
Key words: Boolean function, Bent function, Walsh-Hadamard matrix, M-type matrix, concatenation, subscripts transformation
摘要: 通过构造一类称之为M-型的矩阵,证明按行下标非退化线性变换的次序级联M-型矩阵的行所得的序列是Bent序列,从而得到了一批Bent函数,推广了R.Yarlardda的结果。
关键词: 布尔函数, Bent函数, Walsh-Hadamard矩阵, M-型矩阵, 级联, 下标变换
CLC Number:
O157.4
WANG Zhangxiong. The Construction of a Class of Bent Sequences[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.
王章雄. 一类Bent序列的构造方法[J]. 北京大学学报(自然科学版).
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https://xbna.pku.edu.cn/EN/Y1999/V35/I3/311