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二元周期序列4-错误序列的研究

周建钦 刘军

苏州科技学院学报:自然科学版2012,Vol.29Issue(3):1-5,5.
苏州科技学院学报:自然科学版2012,Vol.29Issue(3):1-5,5.

二元周期序列4-错误序列的研究

On the 4-error sequence distribution of 2^n-periodic binary sequences

周建钦 1刘军2

作者信息

  • 1. 杭州电子科技大学通信工程学院,浙江杭州310018 安徽工业大学计算机学院,安徽马鞍山243032
  • 2. 杭州电子科技大学通信工程学院,浙江杭州310018
  • 折叠

摘要

Abstract

By studying k-linear complexity of binary sequences with period 2^n,it is proposed tion of k-error linear complexity should be converted to finding error sequences with minimal that the computa- Hamming weight. Then the k-error sequences distribution that corresponds with the k-error linear complexity of sequence is dis- cussed. Based on Games-Chan algorithm, for k=4, the counting function on the k-error sequences of 2^n-periodic binary sequences whose linear complexity less than 2^n and the k-error linear complexity are 2^n-1-(2^n+2^i) and 2^n-1- (2^n+2^i)+x is derived. Examples are presented to illustrate the results and checked by computer.

关键词

序列密码/线性复杂度/k-错线性复杂度/k-错误序列

Key words

stream cipher/linear complexity/k-error linear complexity/k-error sequences

分类

信息技术与安全科学

引用本文复制引用

周建钦,刘军..二元周期序列4-错误序列的研究[J].苏州科技学院学报:自然科学版,2012,29(3):1-5,5.

基金项目

浙江省自然科学基金资助项目 ()

苏州科技学院学报:自然科学版

2096-3289

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