On the nonexistence of extremal self-dual codes

Discrete Applied Mathematics

Volumn 91, Issue 1-3, 1999, Pages 277-286

  Zhang, Shengyuan ^a  

^a FUJIAN NORMAL UNIVERSITY   (China)

Author keywords

Extremal self dual code; Extremal weight enumerator; Negative coefficient

Indexed keywords

EID: 0012962181     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-218x(98)00131-0     Document Type: Article

References (10)

1. A.M. Gleason, Weight polynomials of self-dual codes and Mac Williams identities, in: 1970 Act. Congr. Int. Math. vol. 3, Gauthier-Villars, Paris, 1971, pp. 211-215.
2. X.R. Ma, Nonexistence of extremal double even self-dual codes, submitted.
3. F.J. MacWilliams, C.L. Mallows, N.J.A. Sloane, Generalizations of Gleason's theorem on weight enumerators of self-dual codes, IEEE Trans. Inform. Theory IT-18 (1972) 794-805.
4. F.J. MacWilliams, A.M. Odlyzko, N.J.A. Sloane, H.N. Ward, Self-dual codes over GF(4), J. Combin. Theory Ser. A 25 (1978) 288-318.
5. F.J. MacWilliams, N.J.A. Sloane, The Theory of Error-Correcting Codes, Ch. 19, North-Holland, Amsterdam, 1977.
6. C.L. Mallows, A.M. Odlyzko, N.J.A. Sloane, Upper bound for modular forms, lattices and codes, J. Algebra 36 (1975) 68-76.
7. C.L. Mallows, N.J.A. Sloane, An upper bound for self-dual codes, Inform. and Control 22 (1973) 188-200.
8. N.J.A. Sloane, Self-dual codes and lattices, Proc. Symp. Pure Math. 34 (1979) 273-308.
9. H.N. Ward, A restriction on the weight enumerator of a self-dual code, J. Combin. Theory Ser. A 21 (1976) 253-255.
10. S.Y. Zhang, Extremal self-dual codes and duadic group algebra codes, Ph.D. Thesis, Suzhou University, 1997.