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周期为p~（n＋1）的GF（q）上广义分圆序列的线性复杂度
  • ISSN号：1000-2006
  • 期刊名称：《南京林业大学学报：自然科学版》
  • 时间：0
  • 分类：O236[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]南京航空航天大学理学院,江苏南京210016
  • 相关基金：国家自然科学基金项目（10971250,11171150）
作者： 胡传方[1], 岳勤[1]
关键词： 广义分圆序列, 线性复杂度, 本原单位根, generalized cyclotomic sequence, linear complexity, primitive root of unity
中文摘要：

主要研究周期为pn＋1的q元域上广义分圆序列的线性复杂度,即把二元域上Edemskii的研究结果推广到一般GF（q）上。这里利用分圆数和部分指数和来给出具体的关于线性复杂度的计算公式。

英文摘要：

This paper mainly researched the linear complexity of pn＋1-periodic generalized cyclotomic sequences,which generalize Edemskii＇s results which is mentioned in the first reference from binary field to GF（q）.In this paper,cyclotomic number and sums of partial index number will be used to give concrete computation equation of the linear complexity.

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期刊信息
  • 《南京林业大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:江苏省教育厅
  • 主办单位:南京林业大学
  • 主编：曹福亮
  • 地址：南京市龙蟠路159号南京林业大学学报编辑部
  • 邮编：210037
  • 邮箱：xuebao@njfu.edu.cn
  • 电话：025-85428247 85427076
  • 国际标准刊号：ISSN：1000-2006
  • 国内统一刊号：ISSN：32-1161/S
  • 邮发代号:28-16
  • 获奖情况:
  • 全国高校优秀学术期刊一等奖、江苏省自然科学学报...
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  • 被引量:21690