Abstract
The definition of good codes for error-detection is given. It is proved that a (n, k) linear block code in GF(q) are the good code for error-detection, if and only if its dual code is also. A series of new results about the good codes for error-detection are derived. New lower bounds for undetected error probabilities are obtained, which are relative ton andk only, and not the weight structure of the codes.
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References
S. Lin, D. J. Costello, Jr., Error control coding: fundamentals and applications, Englewood Cillfs, NJ: Prentice-Hall (1983).
T. Kassmi, T. Klove, S. Lin,IEEE Trans. on IT,IT-29 (1982) 1, 131–13.
J. K. Wolf, A. H. Michelson, A. H. Levesque,IEEE Trans. on COM,COM-30 (1982) 2, 317–324.
F. J. MacWilliams, N. J. A. Sloane, The theory of error-correcting codes, Amsterdam: North-Holland. (1977), pp. 225–232.
S. K. Leoung-Yan-Cheong, M. E. Hellman,IEEE Trans. on IT,IT-22 (1976) 2, 235–237.
S. K. Leoung-Yan-Cheong, E. R. Barnes, D. U. Friedman,IEEE Trans. on IT,IT-25 (1979) 1, 110–112,
T. Kassmi, S. Lin,IEEE Trans. on COM,COM-32 (1984) 9, 998–1006.
P. Perry,IEEE Trans. on IT,IT-37 (1991) 2, 375–378.
R. J. McEliece, The theory of information and coding, Addison- Weslay. Reading, Mass, (1979), pp.245–294.
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Dazhaun, X. Error-detecting codes and undetected error probabilities. J. of Electron.(China) 11, 37–43 (1994). https://doi.org/10.1007/BF02778349
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DOI: https://doi.org/10.1007/BF02778349