On the Probability of Undetected Error for Linear Block Codes

IEEE Transactions on Communications

Volumn 30, Issue 2, 1982, Pages 317-324

  Wolf, Jack K ^a   Michelson, Arnold M ^b   Levesque, Allen H ^b  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

^b GTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PROBABILITY;

LINEAR BLOCK CODES; UNDETECTED ERROR PROBABILITY;

CODES, SYMBOLIC;

EID: 0020088210     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCOM.1982.1095473     Document Type: Article

References (11)

1. S. K. Leung-Yan-Cheong and M. Hellman, “Concerning a bound on undetected error probability,” IEEE Trans. Inform. Theory, vol. IT-22, pp. 235–237, Mar. 1976.
2. S. K. Leung-Yan-Cheong, E. R. Barnes, and D. U. Friedman, “On some properties of the undetected error probability of linear codes,” IEEE Trans. Inform. Theory, vol. IT-25, pp. 110–112, Jan. 1979.
3. J. Lawton, A. Michelson, and Z. Huntoon, “A performance analysis of a family of codes constructed from simple binary codes,” presented at Canadian Conf. Commun. and Power, Montreal, P.Q., Canada, Oct. 1978.
4. W. W. Peterson and E. J. Weldon, Error Correction Codes, 2nd ed. Cambridge, MA: MIT Press, 1972.
5. J. Massey, “Coding techniques for digital data networks,” in Proc. Int. Conf. Inform. Theory and Syst., NTG-Fachberichte, vol. 65, Berlin, Germany, Sept. 18–20, 1978.
6. S. C. Chang and J. K. Wolf, “A simple derivation of the MacWilliams identity for linear codes,” IEEE Trans. Inform. Theory, vol. IT–26, pp. 476–477, July 1980.
7. F. J. MacWilliams, “A theorem on the distribution of weights in a systematic code,” Bell Syst. Tech. J., vol. 42, pp. 79–94, Jan. 1963.
8. D. D. Sullivan, “A fundamental inequality between the probabilities of binary subgroups and cosets,” IEEE Trans. Inform. Theory, vol. IT-13, pp. 91–124, Jan. 1967.
9. J. MacWilliams and N. J. A. Sloane, The Theory of Error Correcting Codes. Amsterdam, The Netherlands: North-Holland, 1977.
10. W. W. Peterson, “On the weight structure and symmetry of BCH codes,” Contract Rep. AFCRL-65-515, July 1963.
11. G. D. Forney, Concatenated Codes (Res. Monograph 37) Cambridge, MA: MIT Press, 1966.