Rheinische Friedrich-Wilhelms-Universität Bonn Institut für Informatik
 
Abteilung V

 
Universität Bonn -> Institut für Informatik -> Abteilung V
CS-Reports 1990 Copyright 1990 Universität Bonn, Institut für Informatik, Abt. V
8554

08.01.2009

On the Weight Distribution of Elliptic Codes
Mohammad Amin Shokrollahi
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We discuss the problem of determining the weight distribution of linear codes on elliptic curves. It is shown that the weight enumerators of non-MDS elliptic codes are completely determined by the number of minimum weight codewords. Using the structure of the group of rational points of the curves in question, we give a procedure to determine the number of minimum weight codewords. For two classes of elliptic codes we shall give explicit formulas for this number. Several examples are presented.

Last Change: 01/08/09 at 14:27:38
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Universität Bonn -> Institut für Informatik -> Abteilung V

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