Hybrid construction of LDPC codes with (14, 8) hamming code

Huan Ma; Yangwen Yu; Lijun Zhang; Lee Lung Cheng

doi:10.1109/ICASID.2015.7405682

Hybrid construction of LDPC codes with (14, 8) hamming code

Huan Ma
, Yangwen Yu
, Lijun Zhang^*
, Lee Lung Cheng

^*Corresponding author for this work

Department of Electrical Engineering

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

2 Citations (Scopus)

Abstract

A method for constructing LDPC codes is presented based on a (14, 8) extended Hamming code which is formed via column splitting of the (7, 4) Hamming code. With this code and hybrid construction, it is effortless to generate an LDPC code by mapping the (14, 8) extended Hamming code to components of the parity-check matrix of the LDPC code. Simulation results show that the capacity of hybrid construction of PEG code and the (14, 8) extended Hamming code with rate 0.9288 is only a difference of 2 dB around to the Shannon limit owing to the gorgeous property of the (14, 8) code with sum-product algorithm decoding.

Original language	English
Title of host publication	Proceedings of the International Conference on Anti-Counterfeiting, Security and Identification, ASID
Publisher	IEEE
Pages	155-158
ISBN (Electronic)	978-1-4673-7140-7
ISBN (Print)	978-1-4673-7139-1
DOIs	https://doi.org/10.1109/ICASID.2015.7405682
Publication status	Published - Sept 2015
Event	9th IEEE International Conference on Anti-counterfeiting, Security and Identification (ASID 2015) - Xiamen, China Duration: 25 Sept 2015 → 27 Sept 2015 http://fjic.xmu.edu.cn/asid/index.html

Conference

Conference	9th IEEE International Conference on Anti-counterfeiting, Security and Identification (ASID 2015)
Place	China
City	Xiamen
Period	25/09/15 → 27/09/15
Internet address	http://fjic.xmu.edu.cn/asid/index.html

Research Keywords

(14, 8) Hamming code
column splitting
Gallager codes
hybrid construction
PEG algorithm

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10.1109/ICASID.2015.7405682

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@inproceedings{e625f7dcd8364ff791f2e31705c878bc,

title = "Hybrid construction of LDPC codes with (14, 8) hamming code",

abstract = "A method for constructing LDPC codes is presented based on a (14, 8) extended Hamming code which is formed via column splitting of the (7, 4) Hamming code. With this code and hybrid construction, it is effortless to generate an LDPC code by mapping the (14, 8) extended Hamming code to components of the parity-check matrix of the LDPC code. Simulation results show that the capacity of hybrid construction of PEG code and the (14, 8) extended Hamming code with rate 0.9288 is only a difference of 2 dB around to the Shannon limit owing to the gorgeous property of the (14, 8) code with sum-product algorithm decoding.",

keywords = "(14, 8) Hamming code, column splitting, Gallager codes, hybrid construction, PEG algorithm",

author = "Huan Ma and Yangwen Yu and Lijun Zhang and Cheng, \{Lee Lung\}",

year = "2015",

month = sep,

doi = "10.1109/ICASID.2015.7405682",

language = "English",

isbn = "978-1-4673-7139-1",

pages = "155--158",

booktitle = "Proceedings of the International Conference on Anti-Counterfeiting, Security and Identification, ASID",

publisher = "IEEE",

address = "United States",

note = "9th IEEE International Conference on Anti-counterfeiting, Security and Identification (ASID 2015) ; Conference date: 25-09-2015 Through 27-09-2015",

url = "http://fjic.xmu.edu.cn/asid/index.html",

}

Ma, H, Yu, Y, Zhang, L & Cheng, LL 2015, Hybrid construction of LDPC codes with (14, 8) hamming code. in Proceedings of the International Conference on Anti-Counterfeiting, Security and Identification, ASID., 7405682, IEEE, pp. 155-158, 9th IEEE International Conference on Anti-counterfeiting, Security and Identification (ASID 2015), Xiamen, China, 25/09/15. https://doi.org/10.1109/ICASID.2015.7405682

Hybrid construction of LDPC codes with (14, 8) hamming code. / Ma, Huan; Yu, Yangwen; Zhang, Lijun et al.
Proceedings of the International Conference on Anti-Counterfeiting, Security and Identification, ASID. IEEE, 2015. p. 155-158 7405682.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Hybrid construction of LDPC codes with (14, 8) hamming code

AU - Ma, Huan

AU - Yu, Yangwen

AU - Zhang, Lijun

AU - Cheng, Lee Lung

PY - 2015/9

Y1 - 2015/9

N2 - A method for constructing LDPC codes is presented based on a (14, 8) extended Hamming code which is formed via column splitting of the (7, 4) Hamming code. With this code and hybrid construction, it is effortless to generate an LDPC code by mapping the (14, 8) extended Hamming code to components of the parity-check matrix of the LDPC code. Simulation results show that the capacity of hybrid construction of PEG code and the (14, 8) extended Hamming code with rate 0.9288 is only a difference of 2 dB around to the Shannon limit owing to the gorgeous property of the (14, 8) code with sum-product algorithm decoding.

AB - A method for constructing LDPC codes is presented based on a (14, 8) extended Hamming code which is formed via column splitting of the (7, 4) Hamming code. With this code and hybrid construction, it is effortless to generate an LDPC code by mapping the (14, 8) extended Hamming code to components of the parity-check matrix of the LDPC code. Simulation results show that the capacity of hybrid construction of PEG code and the (14, 8) extended Hamming code with rate 0.9288 is only a difference of 2 dB around to the Shannon limit owing to the gorgeous property of the (14, 8) code with sum-product algorithm decoding.

KW - (14, 8) Hamming code

KW - column splitting

KW - Gallager codes

KW - hybrid construction

KW - PEG algorithm

UR - https://www.scopus.com/pages/publications/84962162141

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84962162141&origin=recordpage

U2 - 10.1109/ICASID.2015.7405682

DO - 10.1109/ICASID.2015.7405682

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 978-1-4673-7139-1

SP - 155

EP - 158

BT - Proceedings of the International Conference on Anti-Counterfeiting, Security and Identification, ASID

PB - IEEE

T2 - 9th IEEE International Conference on Anti-counterfeiting, Security and Identification (ASID 2015)

Y2 - 25 September 2015 through 27 September 2015

ER -

Hybrid construction of LDPC codes with (14, 8) hamming code

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Research Keywords

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