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Resolvable 2-designs for regular low-density parity-check codes

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posted on 2025-05-11, 09:58 authored by Sarah JohnsonSarah Johnson, Steven WellerSteven Weller
This paper extends the class of low-density parity-check (LDPC) codes that can be algebraically constructed. We present regular LDPC codes based on resolvable Steiner 2-designs which have Tanner graphs free of four-cycles. The resulting codes are (3, ρ)-regular or (4, ρ)-regular for any value of ρ and for a flexible choice of code lengths.

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Related Materials

  1. 1.
    DOI - Is published in https://doi.org/10.1109/TCOMM.2003.816946
  2. 2.
    ISSN - Is version of https://portal.issn.org/resource/ISSN/0090-6778

Journal title

IEEE Transactions on Communications

Volume

51

Issue

9

Pagination

1413-1419

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Language

  • en, English

College/Research Centre

Faculty of Engineering and Built Environment

School

School of Electrical Engineering and Computer Science

Rights statement

Copyright © 2003 IEEE. Reprinted from IEEE Transactions on Communications, Vol. 51, Issue 9, p. 1413-1419. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Newcastle's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.

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    Keywords

    iterative decodinglow-density parity-check codesLDPCTanner graphscode lengthsresolvable Steiner 2-designs

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    All rights reserved

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