Some new extremal self-dual codes with lengths 44, 50, 54, and 58

IEEE Transactions on Information Theory

Volumn 44, Issue 2, 1998, Pages 809-912

  Boukliev, Ilya ^a   Buyuklieva, Stefka ^b  

^a BULGARIAN ACADEMY OF SCIENCES   (Bulgaria)

^b St Cyril and St Methodius University of Veliko Tarnovo   (Bulgaria)

Author keywords

Heuristic algorithm; Self dual codes

Indexed keywords

ALGORITHMS; BOOLEAN FUNCTIONS; STATISTICAL METHODS; VECTORS;

AUTOMORPHISM; LINEAR CODES; SELF DUAL CODES;

BINARY CODES;

EID: 0032028729     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.661526     Document Type: Article

References (16)

1. R. A. Brualdi and V. Pless, "Weight enumerators of self-dual codes," IEEE Trans. Inform. Theory, vol. 37, pp. 1222-1225, 1991.
2. S. Buyuklieva, "On the binary self-dual codes with an automorphism of order 2," Des., Codes, Cryptogr., to be published.
3. _, "New extremal self-dual codes of lengths 42 and 44," IEEE Trans. Inform. Theory, vol. 43, pp. 1607-1612, Sept. 1997.
4. S. Buyuklieva and I. Boukliev, "Extremal self-dual codes with an automorphism of order 2," IEEE Trans. Inform. Theory, vol. 44, pp. 323-328, Jan. 1998.
5. 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, 1990.
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. M. Harada, T. A. Gulliver, and H. Kaneta, "Classification of extremal double circulant self-dual codes of length up to 62," submitted for publication.
8. M. Harada, "Existence of new extremal double-even codes and extremal singly-even codes," Des., Codes Cryptogr., vol. 8, pp. 1-12, 1996.
9. _, "The existence of a self-dual [70, 35, 12] code and formally self-dual codes," Finite Fields Their Appl., to be published.
10. M. Harada and H. Kimura, "On extremal self-dual codes," Math. J. Okayama Univ., vol. 37, pp. 1-14, 1995.
11. W. C. Huffman and V. D. Tonchev, "The existence of extremal [50, 25, 10] codes and quasi-symmetric 2-(49, 9, 6) designs," Des., Codes Cryptogr., vol. 6, pp. 97-106, 1995.
12. R. Ruseva and V. Yorgov, "Two extremal codes of length 42 and 44" (in Russian), Probl. Pered. Inform., vol. 29, pp. 99-103, 1993.
13. V. Tonchev and V. Yorgov, "The existence of certain extremal [54, 27, 10] self-dual codes," IEEE Trans. Inform. Theory, vol. 42, pp. 1628-1631, Sept. 1996.
14. H. P. Tsai, "Existence of certain extremal self-dual codes," IEEE Trans. Inform. Theory, vol. 38, pp. 501-504, 1992.
15. _, "Existence of some extremal self-dual codes," IEEE Trans. Inform. Theory, vol. 38, pp. 1829-1833, 1992.
16. V. Y. 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.