NDLI: Controlling LDPC Absorbing Sets via the Null Space of the Cycle Consistency Matrix

Content Provider	IEEE Xplore Digital Library
Author	Jiadong Wang Dolecek, L. Wesel, R.
Copyright Year	2011
Abstract	Regular LDPC codes tend to have better error-floor behavior than irregular LDPC codes. However, for moderate block lengths and high rates, the error floor remains a concern even for regular LDPC codes. This is especially the case for applications such as memory media that require very low frame error rates (FERs). This paper focuses on a class of regular LDPC codes: separable, circulant-based (SCB) codes. For a specified circulant matrix, SCB codes all share a common mother matrix and include array-based LDPC codes as well as many common quasi-cyclic codes. SCB codes retain standard properties of quasi-cyclic LDPC codes such as girth, code structure, and compatibility with existing high-throughput hardware implementations. This paper introduces a cycle consistency matrix (CCM) for each possible absorbing set in an SCB LDPC code. For an absorbing set to be present in an SCB LDPC code, the associated CCM must not be full column-rank. Using this novel observation, a new code construction approach selects rows and columns from the SCB mother matrix to systematically eliminate dominant absorbing sets by forcing the associated CCMs to be full column-rank. Simulation results demonstrate that the new codes have steeper error-floor slopes and provide at least one order of magnitude of improvement in the low FER region. Identifying absorbing-set-spectrum equivalence classes within the family of SCB codes with a specified circulant matrix significantly reduces the search space of possible code matrices.
Starting Page	1
Ending Page	6
File Size	191382
Page Count	6
File Format	PDF
ISBN	9781612842325
ISSN	15503607
e-ISBN	9781612842332
e-ISBN	9781612842318
DOI	10.1109/icc.2011.5962723
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-06-05
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Strontium Peer to peer computing Parity check codes Educational Activities Board Labeling Null space Equations
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

LDPC absorbing sets, the null space of the cycle consistency matrix, and Tanner's constructions

The Cycle Consistency Matrix Approach to Absorbing Sets in Separable Circulant-Based LDPC Codes

Absorbing set spectrum approach for practical code design

LDPC Absorbing Sets, the Null Space of the Cycle Consistency Matrix, and Tanners Constructions (2011)

An improved technique to find the trapping sets of the irregular LDPC codes

Controlling LDPC Absorbing Sets via the Null Space of the Cycle Consistency Matrix (2011)

The cycle consistency matrix approach to absorbing sets in separable circulant-based ldpc codes (2013).

The Cycle Consistency Matrix Approach to LDPC Absorbing Sets in Separable Circulant-Based Codes (2012)

Enhancing Binary Images of Non-Binary LDPC Codes

Controlling LDPC Absorbing Sets via the Null Space of the Cycle Consistency Matrix

Similar Documents

LDPC absorbing sets, the null space of the cycle consistency matrix, and Tanner's constructions

The Cycle Consistency Matrix Approach to Absorbing Sets in Separable Circulant-Based LDPC Codes

Absorbing set spectrum approach for practical code design

LDPC Absorbing Sets, the Null Space of the Cycle Consistency Matrix, and Tanners Constructions (2011)

An improved technique to find the trapping sets of the irregular LDPC codes

Controlling LDPC Absorbing Sets via the Null Space of the Cycle Consistency Matrix (2011)

The cycle consistency matrix approach to absorbing sets in separable circulant-based ldpc codes (2013).

The Cycle Consistency Matrix Approach to LDPC Absorbing Sets in Separable Circulant-Based Codes (2012)

Enhancing Binary Images of Non-Binary LDPC Codes

Controlling LDPC Absorbing Sets via the Null Space of the Cycle Consistency Matrix