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International Symposium on Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes

AAECC 1999: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes pp 77–86Cite as

On the Theory of Low-Density Convolutional Codes

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1719))

Abstract

We introduce and analyze a new statistical ensemble of lowdensity parity-check convolutional (LDC) codes. The result of the analysis are bounds, such as a lower bound for the free distance and upper bounds for the burst error probability of the LDC codes.

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References

  1. C. Berrou, A. Glavieux and P. Thitimajshima, “Near Shannon Limit Error Correcting Coding and Decoding: Turbo-Codes”, Proceedings ICC-93, pp. 1064–1070.

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  2. R. G. Gallager, Low-Density Parity-Check Codes, M.I.T. Press, Cambridge, Massachusetts, 1963.

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  3. A. Jimenez and K. Sh. Zigangirov, “Periodic Time-Varying Convolutional Codes with Low-Density Parity-Check Matrices”, IEEE Trans. on Inform. Theory, vol. IT-45, no. 5, Sept. 1999.

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  4. K. Engdahl and K. Sh. Zigangirov, “On the Statistical Theory of Turbo-Codes”, Proceedings ACCT-98, pp. 108–111.

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  5. K. Engdahl and K. Sh. Zigangirov, “On Low-Density Parity-Check Convolutional Codes”, Proceedings WCC-99, pp. 379–392.

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  6. K. Engdahl and K. Sh. Zigangirov, “On the Theory of Low-Density Convolutional Codes I”, Probl. Peredach. Inform., vol. 35, no. 4, Oct-Nov-Dec 1999.

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  7. R. Johannesson and K. Sh. Zigangirov, Fundamentals of Convolutional Coding, IEEE Press, 1999.

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  8. K. Engdahl, M. Lentmaier and K. Sh. Zigangirov, “On the Theory of Low-Density Convolutional Codes II”, in preparation.

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Author information

Authors and Affiliations

  1. Dept. of Information Technology, Lund University, 118, 22100, Sweden

    Karin Engdahl, Michael Lentmaier & Kamil Sh. Zigangirov

Authors
  1. Karin Engdahl
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  2. Michael Lentmaier
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  3. Kamil Sh. Zigangirov
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Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, University of Hawaii, 2540 Dole St., # 483, Honolulu, HI, 96822, USA

    Marc Fossorier  & Shu Lin  & 

  2. Institute of Industrial Science, University of Tokyo, 7-22-1, Roppongi, Minato-ku, Tokyo, 106, Japan

    Hideki Imai

  3. AAECC/IRIT, Université Paul Sabatier, 118, Route de Narbonne, F31067, Toulouse, Cedex, France

    Alain Poli

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© 1999 Springer-Verlag Berlin Heidelberg

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Cite this paper

Engdahl, K., Lentmaier, M., Zigangirov, K.S. (1999). On the Theory of Low-Density Convolutional Codes. In: Fossorier, M., Imai, H., Lin, S., Poli, A. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 1999. Lecture Notes in Computer Science, vol 1719. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46796-3_8

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  • DOI: https://doi.org/10.1007/3-540-46796-3_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66723-0

  • Online ISBN: 978-3-540-46796-0

  • eBook Packages: Springer Book Archive

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