文章摘要
梁 静,李红菊.Fp上一类周期倒序序列稳定性分析[J].西昌学院学报(自然科学版),2019,33(3):32-34.
Fp上一类周期倒序序列稳定性分析
Analysis of the Stability of Periodic Reverse Sequence Over
  
DOI:
中文关键词: 周期序列  极小多项式  线性复杂度  联合线性复杂度
英文关键词: periodic sequence  minimal polynomial  linear complexity  joint linear complexity
基金项目:安徽省高校自然科学研究项目(KJ2017A623);安徽省高校自然科学研究项目(KJ2018A0584);安徽新华学院自然科 学重点项目(2018zr001)
作者单位
梁 静,李红菊 安徽新华学院通识教育部合肥 230088 
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中文摘要:
      流密码稳定性的重要度量指标是序列的线性复杂度。通过生成多项式和极小多项式研究了Fp上一类周期为2N的倒序 新序列的稳定性,给出了其极小多项式及线性复杂度,并讨论了Fp上由这类倒序新序列构成的多维周期序列的联合极小多项 式及联合线性复杂度,这些结论对周期序列的研究有一定的应用价值。
英文摘要:
      The linear complexity of the sequence is an important measure of stream cipher stability. In this paper, the stability of the new reverse sequence with a period of over is studied by generating polynomials and minimum polynomials, and its minimal polynomial and linear complexity are given. The joint minimal polynomials and joint linear complexity of the multidimensional periodic sequences composed of these new sequences over are discussed. These conclusions are somewhat applicably valuable to the study of periodic sequences.
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