Constructing Bent Sequence from Given Bent Sequences

CHANG Zhi-wen; ZHANG Jie; LI Hong-xia

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Constructing Bent Sequence from Given Bent Sequences

更新时间：2026-07-10

- Constructing Bent Sequence from Given Bent Sequences
- Vol. 15, Issue 6, Pages: 78-81(2010)
- 作者机构：
  
  东北电力大学理学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN918.1
- Published：2010
- 稿件说明：
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CHANG Zhi-wen, ZHANG Jie, LI Hong-xia. Constructing Bent Sequence from Given Bent Sequences[J]. 2010, 15(6): 78-81.
DOI：

CHANG Zhi-wen, ZHANG Jie, LI Hong-xia. Constructing Bent Sequence from Given Bent Sequences[J]. 2010, 15(6): 78-81. DOI：

摘要

从Bent函数的序列表示出发

通过对Walsh-Hadamard矩阵性质的研究

得到了n阶Walsh-Hadamard矩阵Hn的每一行取反向及隔位取负仍为该矩阵的某行

任一行的奇数位项及偶数位项为n-1阶Walsh-Hadamard矩阵Hn-1的某行

由此给出了由两个已知Bent序列

通过不同的级联构造Bent序列的三种方法

并得到了由4个Bent序列级联而成的序列为Bent序列的充要条件为:该级联序列中的前两个序列及后两个序列的插位构成的序列为Bent序列.

Abstract

Based on the sequences representation of Bent functions

this paper proves that when each line of the n-order Walsh-Hadamard matrix Hn is taken reverse and negative

it is still being a line of the former matrix.It also proves that any line of the even and odd items is a line of the n-1-order Walsh-Hadamard Matrix Hn-1.Secondly

this paper proposes three methods of constructing Bent sequences through two different concatenation by two existing bent sequences.Lastly

this paper proves that the sequences which ar...

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