Title :
A generalization of Niederreiter-Xing´s propagation rule and its commutativity with duality
Author :
Martínez-Moro, Edgar
Author_Institution :
"Matematica Aplicada" Dept., Univ. of Valladolid, Spain
fDate :
4/1/2004 12:00:00 AM
Abstract :
Niederreiter and Xing (2000) recently proposed a propagation rule for linear codes.Özbudak and Stichtenoth showed that the Niederreiter-Xing construction is a particular construction of a matrix-product code. Cheng, Cheng, and Sun analyzed the case when Niederreiter-Xing rule commutes with duality. The aim of this correspondence is to generalize the propagation rule to a wider class of codes and analyze the case when it commutes with duality.
Keywords :
duality (mathematics); linear codes; matrix algebra; Niederreiter-Xing propagation rule commutativity; Niederreiter-Xing rule; duality operator; linear codes; matrix-product code; propagation operator; Galois fields; Linear code; Parity check codes; Sun;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2004.825036
