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The weight hierarchies of the projective codes from nondegenerate quadrics

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Abstract

The weight hierarchies of the projective codes from nondegenerate quadrics in projective spaces over finite fields are calculated. These codes satisfy also the chain conditions.

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References

  1. V.K. Wei, Generalized Hamming weights for linear codes,IEEE Trans. Inform. Theory Vol. 37 (1991), pp. 1412–1418.

    Google Scholar 

  2. B. Chor, O. Goldreich, J. Hastad, J. Friedmann, S. Rudish, and R. Smolesky, The bit extraction problem oft-resilient functions,Proc. 26th Symp. Foundations Comput. Sci., (1985), pp. 396–407.

  3. T. Helleseth, T. Kløve, and J. Mykkeltveit, The weight distribution of irreducible cyclic codes with block lengthn 1((ql−1)/N),Discrete Math. Vol. 18 (1977), pp. 179–211.

    Google Scholar 

  4. J.W.P. Hirschfeld, M.A. Tsfasman, and S.G. Vladut, The weight hierarchy of higher-dimensional Hermitian codes, to appear inIEEE Trans. Inform. Theory.

  5. V.K. Wei and K. Yang, On the generalized Hamming weights of squaring construction and product codes,IEEE Trans. on Inform. Theory Vol. 39 (1993), pp. 1709–1713.

    Google Scholar 

  6. T. Helleseth, T. Kløve, and Ø. Ytrehus, Generalized Hamming weights of linear codes,IEEE Trans. on Inform. Theory Vol. 38 (1992), pp. 1133–1140.

    Google Scholar 

  7. Z. Wan,Geometry of Classical Groups over Finite Fields, Studentlitteratur, Lund, 1993.

  8. E.J.F. Primrose, Quadrics on finite geometries,Proc. Cambridge Phil. Soc., Vol. 47 (1951), pp. 299–304.

    Google Scholar 

  9. J. Wolfmann, Codes projectifs a deux ou trois poids associes aux hyperquadriques d'une geometrie finie,Discrete Math. Vol. 13 (1975), pp. 185–211.

    Google Scholar 

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Communicated by D. Jungnickel

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Wan, ZX. The weight hierarchies of the projective codes from nondegenerate quadrics. Des Codes Crypt 4, 283–300 (1994). https://doi.org/10.1007/BF01388457

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  • DOI: https://doi.org/10.1007/BF01388457

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