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On the Construction of the (24, 12, 8) Golay Code

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On the Construction of the (24, 12, 8) Golay Code. / Xiao-Hong, Peng; Farrell, P. G.
In: IEEE Transactions on Information Theory, Vol. 52, No. 8, 01.08.2006, p. 3669-3675.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Xiao-Hong, P & Farrell, PG 2006, 'On the Construction of the (24, 12, 8) Golay Code', IEEE Transactions on Information Theory, vol. 52, no. 8, pp. 3669-3675. https://doi.org/10.1109/TIT.2006.876247

APA

Xiao-Hong, P., & Farrell, P. G. (2006). On the Construction of the (24, 12, 8) Golay Code. IEEE Transactions on Information Theory, 52(8), 3669-3675. https://doi.org/10.1109/TIT.2006.876247

Vancouver

Xiao-Hong P, Farrell PG. On the Construction of the (24, 12, 8) Golay Code. IEEE Transactions on Information Theory. 2006 Aug 1;52(8):3669-3675. doi: 10.1109/TIT.2006.876247

Author

Xiao-Hong, Peng ; Farrell, P. G. / On the Construction of the (24, 12, 8) Golay Code. In: IEEE Transactions on Information Theory. 2006 ; Vol. 52, No. 8. pp. 3669-3675.

Bibtex

@article{098a575afdb047d1877fa8b9424a527a,
title = "On the Construction of the (24, 12, 8) Golay Code",
abstract = "Two product array codes are used to construct the (24,12,8) binary Golay code through the direct sum operation. This construction provides a systematic way to find proper (8,4,4) linear block component codes for generating the Golay code, and it generates and extends previously existing methods that use a similar construction framework. The code constructed is simple to decode .",
keywords = "DCS-publications-id, art-908, DCS-publications-credits, coding, DCS-publications-personnel-id, 10",
author = "Peng Xiao-Hong and Farrell, {P. G.}",
note = "This paper shows how to construct the optimum Golay code using the generalised array code (GAC) concept. Its importance lies in the systematic combination of the direct sum and GAC construction techniques, and is the culmination of a series of investigations by the authors and others into effective constructions of this type. The practical value of the construction is that it enables fast near-maximum likelihood decoding of the Golay code using regular parallel sub-trellises or Tanner graphs implemented on integrated circuits with reduced chip areas and intra-chip interconnections. RAE_import_type : Journal article RAE_uoa_type : Electrical and Electronic Engineering",
year = "2006",
month = aug,
day = "1",
doi = "10.1109/TIT.2006.876247",
language = "English",
volume = "52",
pages = "3669--3675",
journal = "IEEE Transactions on Information Theory",
issn = "0018-9448",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "8",

}

RIS

TY - JOUR

T1 - On the Construction of the (24, 12, 8) Golay Code

AU - Xiao-Hong, Peng

AU - Farrell, P. G.

N1 - This paper shows how to construct the optimum Golay code using the generalised array code (GAC) concept. Its importance lies in the systematic combination of the direct sum and GAC construction techniques, and is the culmination of a series of investigations by the authors and others into effective constructions of this type. The practical value of the construction is that it enables fast near-maximum likelihood decoding of the Golay code using regular parallel sub-trellises or Tanner graphs implemented on integrated circuits with reduced chip areas and intra-chip interconnections. RAE_import_type : Journal article RAE_uoa_type : Electrical and Electronic Engineering

PY - 2006/8/1

Y1 - 2006/8/1

N2 - Two product array codes are used to construct the (24,12,8) binary Golay code through the direct sum operation. This construction provides a systematic way to find proper (8,4,4) linear block component codes for generating the Golay code, and it generates and extends previously existing methods that use a similar construction framework. The code constructed is simple to decode .

AB - Two product array codes are used to construct the (24,12,8) binary Golay code through the direct sum operation. This construction provides a systematic way to find proper (8,4,4) linear block component codes for generating the Golay code, and it generates and extends previously existing methods that use a similar construction framework. The code constructed is simple to decode .

KW - DCS-publications-id

KW - art-908

KW - DCS-publications-credits

KW - coding

KW - DCS-publications-personnel-id

KW - 10

U2 - 10.1109/TIT.2006.876247

DO - 10.1109/TIT.2006.876247

M3 - Journal article

VL - 52

SP - 3669

EP - 3675

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

SN - 0018-9448

IS - 8

ER -