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On Explicit Determinants of RFPLR and RFPLL Circulant Matrices Involving Pell Numbers in Information Theory

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Information Computing and Applications (ICICA 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 308))

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Abstract

Let A is a row first-plus-last right circulant matrix and C is a row first-plus-last left circulant matrix which first row is (P 1,P 2,…,P n ), and P n is the Pell number. To investigate the explicit determinants of those matrices, we adopted some special transformation between polynomial and multiplication and explicit representation of Binet formula in this paper. Putting the transformation into use when computing the determinant of matrix, the explicit determinants of matrices A and C are given only by the Pell and Pell-Lucas numbers. The result is very useful in the information theory such as generalized cyclic codes, graph disposing and so on.

This project is supported by the NSFC (Grant Nos. 61102040,10901076).

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Author information

Authors and Affiliations

  1. Department of Mathematics, Linyi University, Linyi, 276005, P.R. China

    Zhao-Lin Jiang, Juan Li & Nuo Shen

Authors
  1. Zhao-Lin Jiang
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  2. Juan Li
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  3. Nuo Shen
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Editor information

Editors and Affiliations

  1. College of Sciences, Hebei United University, 063000, Tangshan, Hebei, China

    Chunfeng Liu  & Aimin Yang  & 

  2. Northeastern University at Qinhuangdao, Hebei, China

    Leizhen Wang

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© 2012 Springer-Verlag Berlin Heidelberg

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Jiang, ZL., Li, J., Shen, N. (2012). On Explicit Determinants of RFPLR and RFPLL Circulant Matrices Involving Pell Numbers in Information Theory. In: Liu, C., Wang, L., Yang, A. (eds) Information Computing and Applications. ICICA 2012. Communications in Computer and Information Science, vol 308. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34041-3_52

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  • DOI: https://doi.org/10.1007/978-3-642-34041-3_52

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34040-6

  • Online ISBN: 978-3-642-34041-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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