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On the Minimum Weight of Codes over F5 Constructed from Certain Conference Matrices

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Abstract

In this paper, codes over F5 with parameters [36, 18, 12], [48, 24, 15], [60, 30, 18], [64, 32, 18] and [76, 38, 21] which improve the previously known bounds on the minimum weight for linear codes over F5 are constructed from conference matrices. Through shortening and truncating, the above codes give numerous new codes over F5 which improve the previously known bounds on minimum weights.

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References

  1. A. E. Brouwer, Bounds on the size of linear codes, In V.S. Pless and W.C. Huffman eds. Handbook of Coding Theory, Elsevier, Amsterdam (1998) pp. 295-461. Also available online at http:// www.win.tue.nl/math/dw/personalpages/aeb/voorlincod.html

    Google Scholar 

  2. P. J. Cameron and J. H. van Lint, Designs, Graphs, Codes and their Links, Cambridge University Press, Cambridge (1991).

    Google Scholar 

  3. A. V. Geramita and J. Seberry, Orthogonal Designs: Quadratic Forms and Hadamard Matrices, Marcel Dekker, New York (1979).

    Google Scholar 

  4. J. S. Leon, V. Pless and N. J. A. Sloane, Self-dual codes over GF(5), J. Combin. Theory Ser. A, Vol. 32 (1982) pp. 178-194.

    Google Scholar 

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Victoria, P.O. Box 3055, STN CSC, Victoria, BC, Canada, V8W 3P6

    T. Aaron Gulliver

  2. Department of Mathematical Sciences, Yamagata University, Yamagata, 990-8560, Japan

    Masaaki Harada

Authors
  1. T. Aaron Gulliver
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  2. Masaaki Harada
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Aaron Gulliver, T., Harada, M. On the Minimum Weight of Codes over F5 Constructed from Certain Conference Matrices. Designs, Codes and Cryptography 31, 139–145 (2004). https://doi.org/10.1023/B:DESI.0000012442.78414.e4

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  • DOI: https://doi.org/10.1023/B:DESI.0000012442.78414.e4

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