Abstract
The following is a particular case of a theorem of Delsarte: the weight distribution of a translate of an MDS code is uniquely determined by its firstn−k terms. Here an explicit formula is derived from a completely different approach.
Similar content being viewed by others
References
E. R. Berlekamp,Algebraic Coding Theory, McGraw-Hill, New York (1968).
P. G. Bonneau, Un Renforcement de la Formule d'Enumération des Poids des codes optimaux,C. R. Acad. Sc. Paris, t. 296 Série I (1983), 863, 4.
P. G. Bonneau,Codes et Combinatoire (thesis), Université Pierre et Marie Curie, Paris (1984).
L. Comtet,Analyse Combinatoire (tome second) Presses Universitaires de France, Paris (1970).
Ph. Delsarte, Four Fondamental Parameters of a Code and Their Combinatorial Significance,Info. and Control,23 (1973), 407–438.
J. Denes andA. D. Keedwell,Latin Squares and their Applications, Academic Press, New York (1974).
W. Heise andP. Quattrocchi,Informations- und Codierungstheorie, Springer-Verlag, Berlin, Heidelberg New York (1983).
A. Marguinaud, Codes a Distance Maximale,Revue du Cethedec,22 (1970), 33–46.
F. J. Mac Williams andN. J. A. Sloane,The Theory of Error-Correcting codes (third printing), North Holland-Amsterdam, New York, Oxford (1981).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bonneau, P.G. Weight distribution of translates of MDS codes. Combinatorica 10, 103–105 (1990). https://doi.org/10.1007/BF02122700
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02122700