Binary Self-Dual Codes With Automorphisms of Composite Order

IEEE Transactions on Information Theory

Volumn 50, Issue 2, 2004, Pages 311-318+411

  Dontcheva, Radinka A ^a   Van Zanten, A J ^b   Dodunekov, Stefan M ^c  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c IMI MFI   (Bulgaria)

Author keywords

Automorphisms; Self dual codes; Weight enumerators

Indexed keywords

INFORMATION THEORY; MATRIX ALGEBRA; POLYNOMIALS; THEOREM PROVING; VECTORS;

AUTOMORPHISMS; SELF-DUAL CODES; WEIGHT ENUMERATORS;

BINARY CODES;

EID: 10744226419     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2003.822598     Document Type: Article

References (15)

1. J. H. Conway, V. Pless, and N. J. A. Sloane, "The binary self-dual codes of length up to 32: A revised enumeration," J. Comb. Theory, Ser. A, vol. 60, pp. 183-195, 1992.
2. J. H. Conway and N. J. Sloane, "A new upper bound of the minimal distance of self-dual codes," IEEE Trans. Inform. Theory, vol. 36, pp. 1319-1333, Nov. 1990.
3. S. Bouyuklieva, "On the automorphiisms of order 2 with fixed points for the extremal self-dual codes of length 24 m," Des., Codes Cryptogr., vol. 25, pp. 5-13, 2002.
4. R. Dontcheva, "Constructing self-dual codes using an automorphism group," Ph.D., Delft Univ. Technol., Delft, The Netherlands, 2002.
5. R. Dontcheva, A. J. van Zanten, and S. M. Dodunekov, "Binary self-dual codes with an automorphism of nonprime order," in Proc. Int. Workshop on Algebraic and Combinatorial Coding Theory, St. Petersburg, Russia, 2002, pp. 85-90.
6. W. C. Huffman, "Automorphisms of codes with application to extremal doubly-even codes of length 48," IEEE Trans. Inform. Theory, vol. IT-28, pp. 511-521, May 1982.
7. W. C. Huffman and V. Y. Yorgov, "A [72, 36, 16] doubly-even self-dual code does not have an automorphism of order 11," IEEE Trans. Inform. Theory, vol. IT-33, pp. 749-752, Sept. 1987.
8. V. Pless, "A classification of self-orthogonal codes over GF(2)," Discr. Math., vol. 3, pp. 209-246, 1972.
9. V. Pless and N. J. A. Sloane, "On the classification and enumeration of self-dual codes," J. Comb. Theory, vol. 18, pp. 313-335, 1975.
10. V. Pless and J. G. Thompson, "17 does not divide the order of the group of a (72, 36, 16) doubly even code," IEEE Trans. Inform. Theory, vol. IT-28, pp. 537-541, May 1982.
11. V. Pless, "23 does not divide the order of the group of a (72, 36, 16) doubly-even code," IEEE Trans. Inform. Theory, vol. 28, pp. 113-117, Jan. 1982.
12. E. M. Rains, "Shadow bounds for self-dual codes," IEEE Trans. Inform. Theory, vol. 44, pp. 134-139, Jan. 1998.
13. V. Y. Yorgov, "Binary self-dual codes with automorphisms of odd order" (in Russian), Probl. Pered. Inform., vol. 19, pp. 11-24, 1983.
14. _, "A method for constructing inequivalent self-dual codes with applications to length 56," IEEE Trans. Inform. Theory, vol. IT-33, pp. 77-82, Jan. 1987.
15. V. Y. Yorgov and N. Ziapkov, "On the group of a [72, 36, 16] self-dual code," in Proc. Int. Workshop OCRT, Sozopol, Bulgaria, 1995, pp. 143-145.