Codes over M2(F2) and applications to golden space-time coded modulation
In this paper, we study code constructions over the finite ring M2(F2), the ring of 2 x 2 matrices with coefficients in the finite field F2. We show how they can be related to classical codes over F4. We provide as application the design of outer codes for 2 x 2 space-time coded modulation, when the...
| Main Authors: | , , |
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| Format: | Conference Paper |
| Language: | English |
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2009
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| Online Access: | https://hdl.handle.net/10356/98378 http://hdl.handle.net/10220/4577 |
| _version_ | 1826130276229578752 |
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| author | Oggier, Frederique Sole, Patrick Belfiore, Jean-Claude |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Oggier, Frederique Sole, Patrick Belfiore, Jean-Claude |
| author_sort | Oggier, Frederique |
| collection | NTU |
| description | In this paper, we study code constructions over the finite ring M2(F2), the ring of 2 x 2 matrices with coefficients in the finite field F2. We show how they can be related to classical codes over F4. We provide as application the design of outer codes for 2 x 2 space-time coded modulation, when the inner code is the so-called Golden code. |
| first_indexed | 2024-10-01T07:53:49Z |
| format | Conference Paper |
| id | ntu-10356/98378 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:53:49Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | ntu-10356/983782023-02-28T19:17:57Z Codes over M2(F2) and applications to golden space-time coded modulation Oggier, Frederique Sole, Patrick Belfiore, Jean-Claude School of Physical and Mathematical Sciences IEEE International Symposium on Information Theory (2009 : Seoul, Korea) DRNTU::Engineering::Electrical and electronic engineering::Wireless communication systems In this paper, we study code constructions over the finite ring M2(F2), the ring of 2 x 2 matrices with coefficients in the finite field F2. We show how they can be related to classical codes over F4. We provide as application the design of outer codes for 2 x 2 space-time coded modulation, when the inner code is the so-called Golden code. Accepted version 2009-04-21T08:15:52Z 2019-12-06T19:54:31Z 2009-04-21T08:15:52Z 2019-12-06T19:54:31Z 2009 2009 Conference Paper Oggier, F., Sole, P., & Belfiore, J. C. (2009). Codes over M2(F2) and applications to golden space-time coded modulation. International Symposium on Information Theory (2009) https://hdl.handle.net/10356/98378 http://hdl.handle.net/10220/4577 en © 2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. http://www.ieee.org/portal/site This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. 4 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering::Wireless communication systems Oggier, Frederique Sole, Patrick Belfiore, Jean-Claude Codes over M2(F2) and applications to golden space-time coded modulation |
| title | Codes over M2(F2) and applications to golden space-time coded modulation |
| title_full | Codes over M2(F2) and applications to golden space-time coded modulation |
| title_fullStr | Codes over M2(F2) and applications to golden space-time coded modulation |
| title_full_unstemmed | Codes over M2(F2) and applications to golden space-time coded modulation |
| title_short | Codes over M2(F2) and applications to golden space-time coded modulation |
| title_sort | codes over m2 f2 and applications to golden space time coded modulation |
| topic | DRNTU::Engineering::Electrical and electronic engineering::Wireless communication systems |
| url | https://hdl.handle.net/10356/98378 http://hdl.handle.net/10220/4577 |
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