Product Construction of Affine Codes

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 pro...

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Main Authors: Chee, Yeow Meng, Kiah, Han Mao, Purkayastha, Punarbasu, Solé, Patrick
其他作者: School of Physical and Mathematical Sciences
格式: Article
語言:English
出版: 2015
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在線閱讀:https://hdl.handle.net/10356/81007
http://hdl.handle.net/10220/39030
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機構: Nanyang Technological University
語言: English
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總結: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.