New extremal binary [44, 22, 8] codes

IEEE Transactions on Information Theory

Volumn 49, Issue 3, 2003, Pages 747-748

  Dalan, Daniel B ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

Extremal codes; Weight enumerators

Indexed keywords

BINARY CODES; ENCODING (SYMBOLS); MATRIX ALGEBRA; POLYNOMIALS; VECTORS;

CODING THEORY; EXTREMAL CODES; WEIGHT ENUMERATORS;

INFORMATION THEORY;

EID: 0037355199     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2002.807280     Document Type: Article

References (15)

1. R. A. Brualdi and V. S. Pless, "Weight enumerators of self-dual codes," IEEE Trans. Inform. Theory, vol. 37, pp. 1222-1225, July 1991.
2. I. Boukliev and S. Buyuklieva, "Some new extremal self-dual codes with lengths 44, 50, 54, and 58," IEEE Trans. Inform. Theory, vol. 44, pp. 809-812, Mar. 1998.
3. S. Bouyuklieva, "A method for constructing self-dual codes with an automorphism of order 2," IEEE Trans. Inform. Theory, vol 46, pp. 496-504, Mar. 2000.
4. S. Buyuklieva, "New extremal self-dual codes of lengths 42 and 44," IEEE Trans. Inform. Theory, vol. 43, pp. 1607-1612, Sept. 1997.
5. ____, "On the binary self-dual codes with an automorphism of order 2," Des. Codes Cryptogr., vol. 12, pp. 39-48, 1997.
6. 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.
7. D. B. Dalan, "New extremal type I codes of lengths 40, 42, and 44," paper, submitted for publication.
8. 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.
9. F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes. New York: North-Holland, 1977.
10. A. Munemasa, "On the enumeration of binary self-dual codes," preprint.
11. V. Pless, "Coding constructions," in Handbook of Coding Theory, V. S. Pless and W. C. Huffman, Eds. Amsterdam, The Netherlands: Elsevier, 1998.
12. E. Rains, "Shadow bounds for self-dual codes," IEEE Trans. Inform. Theory, vol. 44, pp. 134-139, Jan. 1998.
13. E. Rains and N. J. A. Sloane, "Self-dual codes," in Handbook of Coding Theory, V. S. Pless and W. C. Huffman, Eds. Amsterdam, The Netherlands: Elsevier, 1998.
14. R. Ruseva and V. Y. Yorgov, "Two extremal codes of length 42 and 44" (in Russian), Probl. Pered. Inform., vol. 29, pp. 99-103, 1993.
15. V. Yorgov, "New extremal singly-even self-dual codes of length 44," in Proc. 6th Joint Swedish-Russian Int. Workshop on Information Theory, Mölle, Sweden, 1993, pp. 372-375.