Codes of Small Defect

Designs, Codes, and Cryptography

Volumn 10, Issue 3, 1997, Pages 341-350

  Faldum, A ^a   Willems, W ^a  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

Almost MDS codes; Defect of codes; Linear codes; Steiner systems; Weight hierarchy

Indexed keywords

EID: 0009015617     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008247720662     Document Type: Article

References (9)

1. E. F. Assmus, Jr. and H. F. Mattson, Jr., On weights in quadratic-residue codes, Discrete Mathematics, Vol. 3 (1972) pp. 1-20.
2. M. A. de Boer, Almost MDS codes, to appear in Designs, Codes and Cryptography.
3. S. M. Dodunekov and I. N. Landgev, On near-MDS codes, report LiTH-ISY-R-1563, Dept. of Electrical Engineering, Linköping University (1994).
4. J. H. van Lint, Introduction to Coding Theory, Springer-Verlag, New York (1982).
5. F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, North-Holland, Amsterdam, sixth printing (1988).
6. S. Roman, Coding and Information Theory, Springer-Verlag, New York (1992).
7. M. A. Tsfasman and S. G. Vlǎduţ, Algebraic-Geometric Codes, Kluwer Academic Publishers, Dordrecht (1991).
8. V. K. Wei, Generalized hamming weights for linear codes, IEEE Trans. Inf. Theory, Vol. 37 (1991) pp. 1412-1418.
9. A. Faldum and W. Willems, A characterization of codes with extreme parameters, to appear IEEE Trans. Inf. Theory, 42 (1996).