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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Vehkalahti, R. Kositwattanarerk, W. Oggier, F. |
| Copyright Year | 2014 |
| Description | Author affiliation: Div. of Math. Sci., Nanyang Technol. Univ., Singapore, Singapore (Oggier, F.) || Dept. of Math. & Stat., Univ. of Turku, Turku, Finland (Vehkalahti, R.) || Dept. of Math., Mahidol Univ., Bangkok, Thailand (Kositwattanarerk, W.) |
| Abstract | There is a rich theory of relations between lattices and linear codes over finite fields. However, this theory has been developed mostly with lattice codes for the Gaussian channel in mind. In particular, different versions of what is called Construction A have connected the Hamming distance of the linear code to the Euclidean structure of the lattice. This paper concentrates on developing a similar theory, but for fading channel coding instead. First, two versions of Construction A from number fields are given. These are then extended to division algebra lattices. Instead of the Euclidean distance, the Hamming distance of the finite codes is connected to the product distance of the resulting lattices, that is the minimum product distance and the minimum determinant respectively. |
| Starting Page | 2326 |
| Ending Page | 2330 |
| File Size | 366315 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781479951864 |
| ISSN | 21578117 |
| DOI | 10.1109/ISIT.2014.6875249 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2014-06-29 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Lattices Linear codes Fading Vectors |
| Content Type | Text |
| Resource Type | Article |
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