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Abstract

The trace representation of the dual of quaternary Goethals code G(m) is given. It is proved that the shortened code of G(m) is cyclic and its generators are shown.

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References

  1. Wan Zhe xian, Quaternary Codes, World Scientific, Singapore, 1997.

    MATH  Google Scholar 

  2. Hammons, A. R., Kumar, P. V., Calderbank, A. R., et al., The Z 4-linearity of Kerdock, Preparata, Goethals, and related codes, IEEE Trans. Inform. Theory, 1994, 40:301–319.

    Article  MATH  MathSciNet  Google Scholar 

  3. Pless, V., Introduction to the Theory of Error-Correcting Codes, Wiley-Interscience, New York, 1989.

    MATH  Google Scholar 

  4. Pless, V. and Qian, Z., Cyclic codes and quadratic residue codes over Z 4, IEEE Trans. Inform. Theory, 1996, 42:1594–1600.

    Article  MATH  MathSciNet  Google Scholar 

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Jie, C., Junying, P. On the dual of quaternary goethals code. Appl. Math.- J. Chin. Univ. 16, 81–87 (2001). https://doi.org/10.1007/s11766-001-0040-0

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  • DOI: https://doi.org/10.1007/s11766-001-0040-0

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