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Nonlinear Product Codes and Their Low Complexity Iterative Decoding

Kim, Haesik and Markarian, Garik and Cardoso Da Rocha, Valdemar (2010) Nonlinear Product Codes and Their Low Complexity Iterative Decoding. ETRI Journal, 32 (4). pp. 588-595.

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Abstract

This paper proposes encoding and decoding for nonlinear product codes and investigates the performance of nonlinear product codes. The proposed nonlinear product codes are constructed as N-dimensional product codes where the constituent codes are nonlinear binary codes derived from the linear codes over higher order alphabets, for example, Preparata or Kerdock codes. The performance and the complexity of the proposed construction are evaluated using the well-known nonlinear Nordstrom-Robinson code, which is presented in the generalized array code format with a low complexity trellis. The proposed construction shows the additional coding gain, reduced error floor, and lower implementation complexity. The (64, 24, 12) nonlinear binary product code has an effective gain of about 2.5 dB and 1 dB gain at a BER of 10-6 when compared to the (64, 15, 16) linear product code and the (64, 24, 10) linear product code, respectively. The (256, 64, 36) nonlinear binary product code composed of two Nordstrom-Robinson codes has an effective gain of about 0.7 dB at a BER of 10-5 when compared to the (256, 64, 25) linear product code composed of two (16, 8, 5) quasi-cyclic codes.

Item Type: Article
Journal or Publication Title: ETRI Journal
Uncontrolled Keywords: Turbo product code ; nonlinear error control coding
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Departments: Faculty of Science and Technology > School of Computing & Communications
ID Code: 55036
Deposited By: ep_importer_pure
Deposited On: 13 Jun 2012 11:46
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 20:33
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/55036

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