Title :
Information Sets From Defining Sets in Abelian Codes
Author :
Bernal, José Joaquín ; Simón, Juan Jacobo
Author_Institution :
Dept. de Mat., Univ. de Murcia, Murcia, Spain
Abstract :
We describe a technique to construct a set of check positions (and hence an information set) for every abelian code solely in terms of its defining set. This generalizes that given by Imai in in the case of binary TDC codes.
Keywords :
binary codes; error correction codes; abelian codes; binary TDC codes; error-correcting codes; information sets; Decoding; Linear code; Polynomials;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2163492