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Title: Product Construction of Affine Codes
Authors: Chee, Yeow Meng
Kiah, Han Mao
Purkayastha, Punarbasu
Solé, Patrick
Keywords: Product codes
Affine codes
Irregular product codes
Power line communications
Issue Date: 2015
Source: Chee, Y. M., Kiah, H. M., Purkayastha, P., & Solé, P. (2015). Product Construction of Affine Codes. SIAM Journal on Discrete Mathematics, 29(3), 1540-1552.
Series/Report no.: SIAM Journal on Discrete Mathematics
Abstract: Binary matrix codes with restricted row and column weights are a desirable method of coded modulation for power line communication. In this work, we construct such matrix codes that are obtained as products of affine codes---cosets of binary linear codes. Additionally, the constructions have the property that they are systematic. Subsequently, we generalize our construction to irregular product of affine codes, where the component codes are affine codes of different rates.
ISSN: 0895-4801
DOI: 10.1137/140976996
Schools: School of Physical and Mathematical Sciences 
Rights: © 2015 Society for Industrial and Applied Mathematics. This paper was published in SIAM Journal on Discrete Mathematics and is made available as an electronic reprint (preprint) with permission of Society for Industrial and Applied Mathematics. The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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