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Subspace subcodes of generalized reed-solomon codes

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Abstract

In this paper, the subspace subcodes of generalized Reed-Solomn codes are introduced and the fomulas to compute the dimensions of these codes are given.

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References

  1. G.D. Forney, Jr. Dimension/length Profiles and Trellis Complexity of Linear Block Codes.IEEE Trans. Inform. Theory, 1994, 40: 1741–1752

    Article  MATH  Google Scholar 

  2. E.R. Berlekamp. Algebraic Coding Theory, Revised 1984 Edition. Laguna Hills, CA: Aegean Park, 1984

    Google Scholar 

  3. M. Hattori, R.J. McElience, G. Solomon. Subspace Subcodes of Reed-Solomon Codes.IEEE Trans. Inform. Theory, 1998, 44: 1861–1880

    Article  MATH  Google Scholar 

  4. J.M. Jensen. Subgroup Subcodes.IEEE Trans. Inform. Theory, 1995, 41: 781–785

    Article  MATH  Google Scholar 

  5. F.J. Macwilliams, N.J.A. Sloane. The Theory of Error-Correcting Codes. Elsevier, North-Holland, Amsterdam, 1977

    MATH  Google Scholar 

  6. R.J. McElience. Finite Field for Computer Scientists and Engineers. Kluwer, Boston, 1987

    Google Scholar 

  7. R.J. McElience, G. Solomon. Trace-shortened Reed-Solomon codes. In: Proc. 2nd Int. Symp. Communication Theory and Applications, Ambleside, UK, 1993

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Authors and Affiliations

  1. Department of Mathematics, University of Science and Technology of China, 230026, Hefei, China

    Cui Jie

  2. School of Science, Xidian University, 710071, Xi'an, China

    Pei Junying

Authors
  1. Cui Jie
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  2. Pei Junying
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Jie, C., Junying, P. Subspace subcodes of generalized reed-solomon codes. Acta Mathematicae Applicatae Sinica 17, 503–508 (2001). https://doi.org/10.1007/BF02669703

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  • DOI: https://doi.org/10.1007/BF02669703

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