Extermal doubly-even [80, 40, 16] codes with an automorphism of order 19

Finite Fields and their Applications

Volumn 9, Issue 2, 2003, Pages 157-167

  Dontcheva, Radinka ^a   Harada, Masaaki ^b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b YAMAGATA UNIVERSITY   (Japan)

Author keywords

Automorphism groups; Doubly even codes; Extermal self dual codes

Indexed keywords

EID: 0037396507     PISSN: 10715797     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1071-5797(02)00018-7     Document Type: Article

References (12)

1. W.C. Huffman, Automorphisms of codes with applications to extremal doubly even codes of length 48, IEEE Trans. Inform. Theory 28 (1982) 511-521.
2. W.C. Huffman, V.Y. Yorgov, A [72,36,16] doubly even code does not have an automorphism of order 11, IEEE Trans. Inform. Theory 33 (1987) 749-752.
3. F.J. MacWilliams, N.J.A. Sloane, The Theory of Error-Correcting Codes, North-Holland, Amsterdam, 1977.
4. C.L. Mallows, N.J.A. Sloane, An upper bound for self-dual codes, Inform. Control 22 (1973) 188-200.
5. V. Pless, A classification of self-orthogonal codes over GF(2), Discrete Math. 3 (1972) 209-246.
6. V. Pless, 23 does not divide the order of the group of a (72, 36, 16) doubly even code, IEEE Trans. Inform. Theory 28 (1982) 113-117.
7. V. Pless, J.G. Thompson, 17 does not divide the order of the group of a (72, 36, 16) doubly even code, IEEE Trans. Inform. Theory 28 (1982) 537-541.
8. E. Rains, N.J.A. Sloane, Self-dual codes, in: V.S. Pless, W.C. Huffman (Eds.), Handbook of Coding Theory, Elsevier, Amsterdam, 1998, pp. 177-294.
9. V.Y. Yorgov, Binary self-dual codes with automorphisms of odd order, Problemy Peredachi Informatsis 19 (1983) 11-24 (in Russian). (English trans. in Problems Inform. Transmission 19 (1983) 260-270).
10. V.Y. Yorgov, Doubly-even extremal codes of length 64, Problemy Peredachi Informatsis 22 (1986) 35-42 (in Russian). (English transl. in Problems Inform. Transmission 22 (1986) 277-284).
11. V.Y. Yorgov, A method for constructing inequivalent self-dual codes with applications to length 56, IEEE Trans. Inform. Theory 33 (1987) 72-82.
12. V.Y. Yorgov, N. Zyapkov, Doubly even self-dual [40,20,8]-codes with an automorphism of odd order, Problemy Peredachi Informatsis, 32 1996 (41-46) (in Russian). (English trans. Problems Inform. Transmission 32 (1996), 253-257).