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Determining the number of true different permutation polynomials of degrees up to five by Weng and Dong algorithm

Author

Listed:
  • Lucian Trifina

    (“Gheorghe Asachi” Technical University)

  • Daniela Tarniceriu

    (“Gheorghe Asachi” Technical University)

Abstract

Permutation polynomials (PPs) are used for interleavers in turbo codes, cryptography or sequence generation. The paper presents an algorithm for determining the number of true different PPs of degrees up to five. It is based on the algorithm from Weng and Dong (IEEE Trans Inf Theory 54(9):4388–4390, 2008) and on the null polynomials modulo the interleaver length.

Suggested Citation

  • Lucian Trifina & Daniela Tarniceriu, 2018. "Determining the number of true different permutation polynomials of degrees up to five by Weng and Dong algorithm," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 67(2), pages 211-215, February.
    • Handle: RePEc:spr:telsys:v:67:y:2018:i:2:d:10.1007_s11235-017-0335-y
    DOI: 10.1007/s11235-017-0335-y
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    References listed on IDEAS

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    1. Lucian Trifina & Daniela Tarniceriu, 2016. "The number of different true permutation polynomial based interleavers under Zhao and Fan sufficient conditions," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 63(4), pages 593-623, December.
    2. Lucian Trifina & Daniela Tarniceriu, 2017. "A simple method to determine the number of true different quadratic and cubic permutation polynomial based interleavers for turbo codes," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 64(1), pages 147-171, January.
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    Cited by:

    1. Lucian Trifina & Daniela Tarniceriu, 2019. "When Is the Number of True Different Permutation Polynomials Equal to 0?," Mathematics, MDPI, vol. 7(11), pages 1-14, October.
    2. Lucian Trifina & Daniela Tarniceriu, 2019. "Correction to: The number of different true permutation polynomial based interleavers under Zhao and Fan sufficient conditions," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 70(1), pages 141-158, January.

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    1. Lucian Trifina & Daniela Tarniceriu, 2019. "When Is the Number of True Different Permutation Polynomials Equal to 0?," Mathematics, MDPI, vol. 7(11), pages 1-14, October.
    2. Lucian Trifina & Daniela Tarniceriu, 2019. "Correction to: The number of different true permutation polynomial based interleavers under Zhao and Fan sufficient conditions," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 70(1), pages 141-158, January.

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