On the automorphisms of order 2 with fixed points for the extremal self-dual codes of length 24m

Designs, Codes, and Cryptography

Volumn 25, Issue 1, 2002, Pages 5-13

  Bouyuklieva, Stefka ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Automorphisms; Doubly even codes; Self dual codes

Indexed keywords

MATHEMATICAL TECHNIQUES;

AUTOMORPHISM GROUPS; AUTOMORPHISMS; EXTREMAL SELF-DUAL CODES; FIXED POINTS; ORDER 2; SELF-DUAL;

COMPUTER APPLICATIONS;

EID: 31244435865     PISSN: 09251022     EISSN: 15737586     Source Type: Journal    
DOI: 10.1023/A:1012598832377     Document Type: Article

References (9)

1. E. F. Assmus Jr. and J. D. Key, Designs and Their Codes, Cambridge University Press (1992).
2. S. Bouyuklieva, A method for constructing self-dual codes with an automorphism of order 2, IEEE Trans. Inform. Theory, Vol. 46, No. 2 (2000) pp. 496–504.
3. A. E. Brouwer, Bounds on the size of linear codes, Handbook of Coding Theory (V. Pless and W. C. Huffman, eds.), Elsevier Science, B. V. (1998).
4. J. H. Conway and V. Pless, An enumeration of self-dual codes, IEEE Trans. Inform. Theory, Vol. 37 (1991) pp. 1222–1225.
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 (1990) pp. 1319–1333.
6. J. Fields and V. Pless, Split weight enumerators of extremal self-dual codes. In Proceedings of the 35th Allerton Conference on Communication, Control and Computing, UIUC (1997) pp. 422–431.
7. N. Ito, J. S. Leon and J. Q. Longyear, Classification of 3-(24, 12, 5) designs and 24-dimensional Hadamard matrices, Journal of Comb. Theory, Ser. A, Vol. 31 (1981) pp. 66–93.
8. V. Pless, N. J. A. Sloane and H. N. Ward, Ternary codes of minimum weight 6 and the classification of the self-dual codes of length 20, IEEE Trans. Inform. Theory, Vol. 26 (1980) pp. 305–316.
9. J. Simonis, MacWilliams identities and coordinate partitions, Linear Algebra Appl., Vol. 216 (1995) pp. 81–91.