Duality for Modules and Applications to Decoding Linear Codes over Finite Commutative Rings
Information Theory
2014-10-14 v1 math.IT
Abstract
Using linear functional-based duality of modules, we generalize the syndrome decoding algorithm of linear codes over finite fields to those over finite commutative rings. Moreover, If the ring is local the algorithm is simplified by introducing the control matrix.
Cite
@article{arxiv.1410.3089,
title = {Duality for Modules and Applications to Decoding Linear Codes over Finite Commutative Rings},
author = {Asmae Drhima and Mustapha Najmeddine},
journal= {arXiv preprint arXiv:1410.3089},
year = {2014}
}
Comments
preprint