Permutation Decoding and the Stopping Redundancy Hierarchy of Cyclic and Extended Cyclic Codes
From MaRDI portal
Publication:3604877
DOI10.1109/TIT.2008.2006456zbMATH Open1319.94103arXiv0708.0905MaRDI QIDQ3604877
Author name not available (Why is that?)
Publication date: 24 February 2009
Published in: (Search for Journal in Brave)
Abstract: We introduce the notion of the stopping redundancy hierarchy of a linear block code as a measure of the trade-off between performance and complexity of iterative decoding for the binary erasure channel. We derive lower and upper bounds for the stopping redundancy hierarchy via Lovasz's Local Lemma and Bonferroni-type inequalities, and specialize them for codes with cyclic parity-check matrices. Based on the observed properties of parity-check matrices with good stopping redundancy characteristics, we develop a novel decoding technique, termed automorphism group decoding, that combines iterative message passing and permutation decoding. We also present bounds on the smallest number of permutations of an automorphism group decoder needed to correct any set of erasures up to a prescribed size. Simulation results demonstrate that for a large number of algebraic codes, the performance of the new decoding method is close to that of maximum likelihood decoding.
Full work available at URL: https://arxiv.org/abs/0708.0905
No records found.
No records found.
This page was built for publication: Permutation Decoding and the Stopping Redundancy Hierarchy of Cyclic and Extended Cyclic Codes
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q3604877)
