NDLI: Generalised array low-density parity-check codes

Content Provider	IET Digital Library
Author	Sobhani, Reza
Abstract	In this study, using Group Permutation Low-Density Parity-Check (GP-LDPC) codes, the authors generalise the concept of array Low-Density Parity-Check (LDPC) codes from fields of prime order to those of prime power order. In fact, they consider the additive group of the finite field GF(q), q a prime power, as the underlying group for the GP-LDPC code construction and since when q is a prime, the author's code construction method coincides with that of quasi-cyclic array LDPC codes, they call their codes, generalised array LDPC (GA-LDPC) codes. First, they prove that, like array LDPC codes, GA-LDPC codes are quasi-cyclic codes. Then, they analyse the girth of GA-LDPC codes in a way similar to that for array LDPC codes and introduce some shortened GA-LDPC codes with girths 8, 10 and 12. For many values of g, J and L, the lengths of (J, L)-regular shortened GA-LDPC codes of girth g and rate at least 1 − J/L, constructed in this study, are smaller than the lengths of (J, L)-regular LDPC codes of girth g and rate at least 1 − J/L, constructed in the literature. Also, simulation results show that GA-LDPC codes perform well with the iterative message-passing decoding.
Starting Page	2121
Ending Page	2130
Page Count	10
ISSN	17518628
Volume Number	8
e-ISSN	17518636
Issue Number	Issue 12, Aug (2014)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-com/8/12
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-com.2013.1179
Journal	IET Communications
Publisher Date	2014-06-26
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Code Code Construction Method Cyclic Codes Flnite Fleld GF GA-LDPC Code Generalised Array Low-density Parity-check Code GP-LDPC Code Group Permutation Low-density Parity-check Code Iterative Decoding Iterative Message-passing Decoding Message Passing Parity Check Code Quasicyclic Array LDPC Code
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering Computer Science Applications

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