Multisequence Synthesis over an Integral Domain

  • Li-ping Wang
  • Yue-fei Zhu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2146)


We first give an extension of F[x]-lattice basis reduction algorithm to the polynomial ring R[x] where F is a field and R an arbitrary integral domain. So a new algorithm is presented for synthesizing minimum length linear recurrence (or minimal polynomials) for the given multiple sequences over R. Its computational complexity is O(N 2) multiplications in R where N is the length of each sequence. A necessary and sufficient conditions for the uniqueness of minimal polynomials are given. The set of all minimal polynomials is also described.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Li-ping Wang
    • 1
  • Yue-fei Zhu
    • 2
  1. 1.State Key Laboratory of Information Security, Graduate SchoolUniversity of Science and Technology of ChinaBeijingChina
  2. 2.Department of Network EngineeringInformation Engineering UniversityZhengzhouChina

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