Decoding the Golay Codes

IEEE Transactions on Information Theory

Volumn 32, Issue 4, 1986, Pages 561-567

  Pless, Vera ^a  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - ALGORITHMS;

BINARY GOLAY CODE; HEXACODE; STEINER CODING SYSTEMS; TERNARY GOLAY CODE;

CODES, SYMBOLIC;

EID: 0022752715     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/TIT.1986.1057197     Document Type: Article

References (12)

1. J. H. Conway, private communication.
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3. J. H. Conway and N. J. A. Sloane, The Leech Lattice, Sphere Packings and Applications. New York : Springer, to be published.
4. R. T. Curtis, “A new combinatorial approach to M 24,” Math. Proc. Cambridge Phil. Soc., vol. 79, pp. 25–42, 1976.
5. I. B. Gibson and I. F. Blake, “Decoding the binary Golay code with miracle octad generators,” IEEE Trans. Inform. Theory, vol. IT-24, pp. 261–264, 1978.
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7. V. Pless, “On the uniqueness of the Golay codes,” J. Comb. Theory, vol. 5, pp. 215–228, 1968.
8. V. Pless, Introduction to the Theory of Error-Correcting Codes. New York: Wiley, 1982.
9. V. Pless, “A new decoding scheme for the ternary Golay code,” in Proc. 20th Ann. Allerton Conf. Communication, Control, and Computing, Oct. 1982.
10. G. Solomon and M. M. Sweet, “A Golay puzzle,” IEEE Trans. Inform. Theory, vol. IT-29, pp. 174–175, 1983.
11. J. Wolfmann, “A permutation decoding of the (24,12,8) Golay code,” IEEE Trans. Inform. Theory, vol. IT-29, pp. 748–750, 1983.
12. T. Beth, W. Fumy, and H. P. Reiss, “Der Wunderschone Oktaden-Generator,” Mitteilungen aus dem Mathematiks Seminar Giessen, vol. 163, pp. 169–179, 1984.