A new extremal self-dual code of length 64

IEEE Transactions on Information Theory

Volumn 50, Issue 9, 2004, Pages 2173-2174

  Nishimura, Takuji ^a  

^a YAMAGATA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY CODES; ENCODING (SYMBOLS); MATRIX ALGEBRA; SET THEORY; VECTORS;

CODEWORDS; EXTERMAL SELF DUAL CODE; IDENTITY MATRIX; WEIGHT ENUMERATORS;

INFORMATION THEORY;

EID: 4544225706     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2004.833359     Document Type: Article

References (10)

1. J. H. Conway and N. J. A. Sloane, "A new upper bound on the minimal distance of self-dual codes," IEEE Trans. Inform. Theory, vol. 36, pp. 1319-1333, Nov. 1990.
2. R. A. Brualdi and V. Pless, "Weight enumerators of self-dual codes," IEEE Trans. Inform. Theory, vol. 37, pp. 1222-1225, July 1991.
3. V. Pless, V. Tonchev, and J. Leon, "On the existence of a certain (64, 32, 12) extremal codes," IEEE Trans. Inform. Theory, vol. 39, pp. 214-215, Jan. 1993.
4. 4," IEEE Trans. Inform. Theory, vol. 47, pp. 2242-2248, Sept. 2001.
5. S. Buyuklieva, "On the binary self-dual codes with an automorphism of order 2," Des., Codes Cryptogr., vol. 12, pp. 39-48, 1997.
6. S. T. Dougherty, T. A. Gulliver, and M. Harada, "Extremal binary self-dual codes," IEEE Trans. Inform. Theory, vol. 43, pp. 2036-2047, Nov. 1997.
7. R. Dontcheva and M. Harada, "Some extremal self-dual codes with an automorphism of order 7," Appl. Alg. Eng. Comm. Comput., vol. 14, pp. 75-79, 2003.
8. T. A. Gulliver, M. Harada, and J.-L. Kim, "Construction of new extremal self-dual codes," Discr. Math., vol. 263, pp. 81-91, 2003.
9. V. Yorgov, "Doubly even extremal codes of length 64" (in Russian), Probl. Pered. Inform., vol. 22, pp. 35-42, 1986.
10. S. N. Kapralov and V. D. Tonchev, "Extremal doubly-even codes of length 64 derived from symmetric designs," Discr. Math., vol. 83, pp. 285-289, 1990.