On the Weight Distribution of the Coset Leaders of Constacyclic Codes

Velikova, Evgeniya, and Bojilov, Asen. "On the Weight Distribution of the Coset Leaders of Constacyclic Codes." Serdica Journal of Computing 2.2 (2008): 105-110. <http://eudml.org/doc/11456>.

@article{Velikova2008,
abstract = {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.},
author = {Velikova, Evgeniya, Bojilov, Asen},
journal = {Serdica Journal of Computing},
keywords = {Covering Radius; Constacyclic Codes; Coset Leaders; covering radius; constacyclic codes; coset leaders},
language = {eng},
number = {2},
pages = {105-110},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Weight Distribution of the Coset Leaders of Constacyclic Codes},
url = {http://eudml.org/doc/11456},
volume = {2},
year = {2008},
}

TY - JOUR
AU - Velikova, Evgeniya
AU - Bojilov, Asen
TI - On the Weight Distribution of the Coset Leaders of Constacyclic Codes
JO - Serdica Journal of Computing
PY - 2008
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 2
IS - 2
SP - 105
EP - 110
AB - 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.
LA - eng
KW - Covering Radius; Constacyclic Codes; Coset Leaders; covering radius; constacyclic codes; coset leaders
UR - http://eudml.org/doc/11456
ER -