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。
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.
作者
梁静
李红菊
LIANG Jing;LI Hongju(Department of General Education,Anhui Xinhua University,Hefei 230088,China)
出处
《西昌学院学报（自然科学版）》
2019年第3期32-34,113,共4页
Journal of Xichang University(Natural Science Edition)
基金
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)
关键词
周期序列
极小多项式
线性复杂度
联合线性复杂度
periodic sequence
minimal polynomial
linear complexity
joint linear complexity
