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...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2015
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/81007 http://hdl.handle.net/10220/39030 |
| _version_ | 1824457078794616832 |
|---|---|
| author | Chee, Yeow Meng Kiah, Han Mao Purkayastha, Punarbasu Solé, Patrick |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Chee, Yeow Meng Kiah, Han Mao Purkayastha, Punarbasu Solé, Patrick |
| author_sort | Chee, Yeow Meng |
| collection | NTU |
| description | 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. |
| first_indexed | 2025-02-19T04:04:17Z |
| format | Journal Article |
| id | ntu-10356/81007 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T04:04:17Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | ntu-10356/810072023-02-28T19:30:53Z Product Construction of Affine Codes Chee, Yeow Meng Kiah, Han Mao Purkayastha, Punarbasu Solé, Patrick School of Physical and Mathematical Sciences Product codes Affine codes Irregular product codes Power line communications 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. Published version 2015-12-10T06:39:37Z 2019-12-06T14:19:26Z 2015-12-10T06:39:37Z 2019-12-06T14:19:26Z 2015 Journal Article 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. 0895-4801 https://hdl.handle.net/10356/81007 http://hdl.handle.net/10220/39030 10.1137/140976996 en SIAM Journal on Discrete Mathematics © 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: [http://dx.doi.org/10.1137/140976996]. 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. 13 p. application/pdf |
| spellingShingle | Product codes Affine codes Irregular product codes Power line communications Chee, Yeow Meng Kiah, Han Mao Purkayastha, Punarbasu Solé, Patrick Product Construction of Affine Codes |
| title | Product Construction of Affine Codes |
| title_full | Product Construction of Affine Codes |
| title_fullStr | Product Construction of Affine Codes |
| title_full_unstemmed | Product Construction of Affine Codes |
| title_short | Product Construction of Affine Codes |
| title_sort | product construction of affine codes |
| topic | Product codes Affine codes Irregular product codes Power line communications |
| url | https://hdl.handle.net/10356/81007 http://hdl.handle.net/10220/39030 |
| work_keys_str_mv | AT cheeyeowmeng productconstructionofaffinecodes AT kiahhanmao productconstructionofaffinecodes AT purkayasthapunarbasu productconstructionofaffinecodes AT solepatrick productconstructionofaffinecodes |