Presentation 2000/3/17
The Maximum Likelihood Decoding of a Linear Code Using Local Parity Check Matrices
Yuichi Kaji, Toru Fujiwara, Tadao Kasami,
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Abstract(in English) A new algorithm for the maximum likelihood decoding of a linear block code is proposed. The algorithm uses the structural properties of linear codes to reduce the decoding complexity. It is shown that the code structure necessary for decoding can be derived in an efficient way by using parity check matrices of certain local subsets of the code. The proposed algorithm uses this property to reduce the space complexity of the decoder. The algorithm also employs"lazy"strategy for computing local most likely vectors of the local subsets to reduce the number of operations. The complexity of the algorithm is evaluated for some well known linear block codes.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) maximum likelihood decoding / linear block codes / recursive maximum likelihood decoding algorithm / parity check matrices / decoding complexity
Paper # IT99-95,ISEC99-134,SST99-143
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Committee IT
Conference Date 2000/3/17(1days)
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Registration To Information Theory (IT)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) The Maximum Likelihood Decoding of a Linear Code Using Local Parity Check Matrices
Sub Title (in English)
Keyword(1) maximum likelihood decoding
Keyword(2) linear block codes
Keyword(3) recursive maximum likelihood decoding algorithm
Keyword(4) parity check matrices
Keyword(5) decoding complexity
1st Author's Name Yuichi Kaji
1st Author's Affiliation Graduate School of Information Science, Nara Institute of Science and Technology()
2nd Author's Name Toru Fujiwara
2nd Author's Affiliation Department of Informatics and Mathematical Sciences, Graduate School of Engineering Science, Osaka University
3rd Author's Name Tadao Kasami
3rd Author's Affiliation Faculty of Information Science, Hiroshima City University
Date 2000/3/17
Paper # IT99-95,ISEC99-134,SST99-143
Volume (vol) vol.99
Number (no) 700
Page pp.pp.-
#Pages 6
Date of Issue