Matrix product codes over finite commutative Frobenius rings
Properties of matrix product codes over finite commutative Frobenius rings are investigated. The minimum distance of matrix product codes constructed with several types of matrices is bounded in different ways. The duals of matrix product codes are also explicitly described in terms of matrix produc...
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sg-ntu-dr.10356-1019892023-02-28T19:43:43Z Matrix product codes over finite commutative Frobenius rings Fan, Yun Ling, San Liu, Hongwei School of Physical and Mathematical Sciences DRNTU::Science::Mathematics Properties of matrix product codes over finite commutative Frobenius rings are investigated. The minimum distance of matrix product codes constructed with several types of matrices is bounded in different ways. The duals of matrix product codes are also explicitly described in terms of matrix product codes. MOE (Min. of Education, S’pore) Accepted version 2014-06-16T06:10:51Z 2019-12-06T20:48:03Z 2014-06-16T06:10:51Z 2019-12-06T20:48:03Z 2014 2014 Journal Article Fan, Y., Ling, S., & Liu, H. (2014). Matrix product codes over finite commutative Frobenius rings. Designs, Codes and Cryptography, 71(2), 201-227. https://hdl.handle.net/10356/101989 http://hdl.handle.net/10220/19797 10.1007/s10623-012-9726-y en Designs, codes and cryptography © 2012 Springer Science+Business Media. This is the author created version of a work that has been peer reviewed and accepted for publication by Designs, Codes and Cryptography, Springer Science+Business Media. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1007/s10623-012-9726-y]. 23 p. application/pdf |
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DRNTU::Science::Mathematics Fan, Yun Ling, San Liu, Hongwei Matrix product codes over finite commutative Frobenius rings |
| description |
Properties of matrix product codes over finite commutative Frobenius rings are investigated. The minimum distance of matrix product codes constructed with several types of matrices is bounded in different ways. The duals of matrix product codes are also explicitly described in terms of matrix product codes. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Fan, Yun Ling, San Liu, Hongwei |
| format |
Article |
| author |
Fan, Yun Ling, San Liu, Hongwei |
| author_sort |
Fan, Yun |
| title |
Matrix product codes over finite commutative Frobenius rings |
| title_short |
Matrix product codes over finite commutative Frobenius rings |
| title_full |
Matrix product codes over finite commutative Frobenius rings |
| title_fullStr |
Matrix product codes over finite commutative Frobenius rings |
| title_full_unstemmed |
Matrix product codes over finite commutative Frobenius rings |
| title_sort |
matrix product codes over finite commutative frobenius rings |
| publishDate |
2014 |
| url |
https://hdl.handle.net/10356/101989 http://hdl.handle.net/10220/19797 |
| _version_ |
1759855623515668480 |