Geodesic
On the Weight Distribution of the Coset Leaders of Constacyclic Codes
Serdica Journal of Computing, Tome 2 (2008) no. 2, pp. 105-110

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Constacyclic codes with one and the same generator polynomial and distinct length are considered. We give a generalization of the previous result of the first author [4] for constacyclic codes. Suitable maps between vector spaces determined by the lengths of the codes are applied. It is proven that the weight distributions of the coset leaders don’t depend on the word length, but on generator polynomials only. In particular, we prove that every constacyclic code has the same weight distribution of the coset leaders as a suitable cyclic code.
Keywords: Covering Radius, Constacyclic Codes, Coset Leaders 
Velikova, Evgeniya; Bojilov, Asen. On the Weight Distribution of the Coset Leaders of Constacyclic Codes. Serdica Journal of Computing, Tome 2 (2008) no. 2, pp. 105-110. http://geodesic.mathdoc.fr/item/SJC_2008_2_2_a0/
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