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周期序列的k错线性复杂度的期望值
  • ISSN号：2095-6134
  • 期刊名称：《中国科学院大学学报》
  • 时间：0
  • 分类：O236.2[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]南京航空航天大学数学系,南京210016
  • 相关基金：Supported by NNSF of China （11171150,10971250）
作者： 吴成文[1], 岳勤[1]
关键词： 线性复杂度, K错线性复杂度, 期望值, linear complexity, k-error linear complexity, expected value
中文摘要：

有限域Fq上一个周期序列的k错线性复杂度被定义为通过改变每个周期至多k个比特所得到的最小线性复杂度.给出有限域Fq上pn周期序列的k错线性复杂度的期望,其中p是一个奇素数,q是模p2的原根,并且1≤k≤（p-1）/2.

英文摘要：

The k-error linear complexity of a periodic sequence over a finite field Fq is defined to be the smallest linear complexity that can be obtained by changing k or fewer bits per period. We explicitly give the expected value of k-error linear complexity of p^n-periodic sequences over Fq, where p is an odd prime, q is a prime primitive root modulo p^2, and 1≤k≤ （p -1 ）/2.

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期刊信息
  • 《中国科学院大学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院大学
  • 主编：石耀霖
  • 地址：北京玉泉路19号(甲)
  • 邮编：100049
  • 邮箱：journal@gucas.ac.cn
  • 电话：010-88256013
  • 国际标准刊号：ISSN：2095-6134
  • 国内统一刊号：ISSN：10-1131/N
  • 邮发代号:82-583
  • 获奖情况:
  • 国内外数据库收录:
  • 中国中国科技核心期刊,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:416