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A new class of nonlinear sensary codes

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Abstract

In this paper we construct two new families of nonlinear senary codes derived from the corresponding families of modified Butson-Hadamard matrices. These codes have easy construction and decoding procedures, and their parameters are very close to the Plotkin bound.

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References

  1. Elliot, D.F. and Rao, K.R., Fast Transforms: Algorithms, Analyses, Applications, New York: Academic, 1982.

    Google Scholar 

  2. Maslen, D.K. and Rockmore, D.N., Generalized FFTs—A Survey of Some Recent Results, Groups and Computation II: Workshop on Groups and Computation, Finkelstein, L. and Kantor, W.M., Eds., Providence: AMS, 1997, pp. 183–237.

    Google Scholar 

  3. Butson, K.T., Generalized Hadamard Matrices, Proc. Amer. Math. Soc., 1962, vol. 13, pp. 894–898.

    Article  MathSciNet  Google Scholar 

  4. Baliga, A., New Self-Dual Codes from Cocyclic Hadamard Matrices, J. Comb. Math. Comb. Comput., 1982, vol. 28, pp. 7–14.

    MathSciNet  Google Scholar 

  5. Baliga, A. and Horadam, K.J., Cocyclic Hadamard Matrices over ℤt × ℤ 22 , Australas. J. Comb., 1995, vol. 11, pp. 123–134.

    MATH  MathSciNet  Google Scholar 

  6. Horadam, K.J. and Udaya, P., Cocyclic Hadamard Codes, IEEE Trans. Inform. Theory, 2000, vol. 46, no. 4, pp. 1545–1550.

    Article  MATH  MathSciNet  Google Scholar 

  7. Pinnawala, N. and Rao, A., Cocyclic Simplex Codes of Type α over ℤ4 and ℤ2 s, IEEE Trans. Inform. Theory, 2004, vol. 50, no. 9, pp. 2165–2169.

    Article  MathSciNet  Google Scholar 

  8. Stepanov, S.A. and Lee, M.H., Codes from Generalized Hadamard Matrices, submitted for publication in IEEE Trans. Inform. Theory.

  9. Stepanov, S.A., A New Class of Quaternary Codes, Probl. Peredachi Inf., 2006, vol. 42, no. 1, pp. 3–12 [Probl. Inf. Trans. (Engl. Transl.), 2006, vol. 42, no. 1, pp. 1–9].

    Google Scholar 

  10. Stepanov, S.A. and Lee, M.H., Ternary Codes from Modified Hadamard Matrices, submitted for publication in IEEE Trans. Inform. Theory.

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Original Russian Text © Stepanov, 2006, published in Problemy Peredachi Informatsii, 2006, Vol. 42, No. 2, pp. 53–62.

Supported by the Institute of Information Technology Assessment (IITA), South Korea.

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Stepanov, S.A. A new class of nonlinear sensary codes. Probl Inf Transm 42, 114–122 (2006). https://doi.org/10.1134/S0032946006020050

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  • DOI: https://doi.org/10.1134/S0032946006020050

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