Please use this identifier to cite or link to this item:
https://doi.org/10.1109/TIT.2007.907473
Title: | Diagonal lattice space-time codes from number fields and asymptotic bounds | Authors: | Xing, C. | Keywords: | Discriminant Diversity product Embedding Number fields |
Issue Date: | Nov-2007 | Citation: | Xing, C. (2007-11). Diagonal lattice space-time codes from number fields and asymptotic bounds. IEEE Transactions on Information Theory 53 (11) : 3921-3926. ScholarBank@NUS Repository. https://doi.org/10.1109/TIT.2007.907473 | Abstract: | In this paper, we reformulate some constructions of real and complex diagonal lattice space-time codes from number fields which have been given explicitly or implicitly by other researchers. These constructions establish a connection between good diagonal lattice space-time codes and number fields with small absolute values of discriminants. We present two tables for diversity products of some lattice space-time codes from these constructions. The maximal rank of diagonal lattice space-time codes with positive diversity product is determined. We also discuss the asymptotic problem of lattice space-time codes. By using an infinite tower of Hilbert class field and a tamely ramified class field tower, we obtain asymptotically good sequences of lattice space-time codes. Some asymptotic upper bounds are given in the paper as well. © 2007 IEEE. | Source Title: | IEEE Transactions on Information Theory | URI: | http://scholarbank.nus.edu.sg/handle/10635/103128 | ISSN: | 00189448 | DOI: | 10.1109/TIT.2007.907473 |
Appears in Collections: | Staff Publications |
Show full item record
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.