北京大学学报(自然科学版)

一类Bent序列的构造方法

王章雄   

  1. 荆州师专,湖北,荆州市,434100
  • 收稿日期:1998-04-09 出版日期:1999-05-20 发布日期:1999-05-20

The Construction of a Class of Bent Sequences

WANG Zhangxiong   

  1. Jingzhou Normal College, Jingzhou, Hubei, 434100
  • Received:1998-04-09 Online:1999-05-20 Published:1999-05-20

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

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

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