In this letter, for the first time, an edge-coloring technique is proposed to characterize a certain elementary trapping set (ETS) and to obtain sufficient conditions to avoid small ETSs …
A circulant-permutation-based spatially-coupled (SC) code is constructed by partitioning the circulant permutation matrices (CPMs) in the parity-check matrix of a block code into several …
Time-varying spatially coupled low-density parity-check (SC-LDPC) codes with very large period are characterized by significantly better error rate performance and girth properties …
Time-varying spatially-coupled low-density parity-check convolutional codes (SC-LDPC- CCs) exhibit excellent features, but their representation requires a very large number of …
There is a concept in graph theory known as a chord which has not been considered before in relation to trapping sets of Tanner graphs. A chord of a cycle is an edge outside the cycle …
The error correction performance of low-density parity-check codes under iterative message- passing decoding is degraded by the presence of certain harmful objects existing in their …
The error correction performance of low-density parity-check (LDPC) codes under iterative message-passing decoding is degraded by the presence of certain harmful objects existing …
Controlling small size trapping sets and short cycles can result in LDPC codes with large minimum distance d_\min. We prove that short cycles with a chord are the root of several …
The problem of finding bipartite (Tanner) graphs with given degree sequences that have large girth and few short cycles is of great interest in many applications including …