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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A $ 2\times 2$ lattice space-time code of rank $ 5$


Authors: Chaoping Xing and Wei Li
Journal: Proc. Amer. Math. Soc. 136 (2008), 3415-3418
MSC (2000): Primary 06B99, 15A15, 11Z05, 11H71
Published electronically: May 16, 2008
MathSciNet review: 2415024
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Abstract: For all previous constructions of $ 2\times 2$ lattice space-time codes with a positive diversity product, the rank was at most $ 4$. In this paper, we give an example of a $ 2\times 2$ lattice space-time code of rank $ 5$ with a positive diversity product.


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Additional Information

Chaoping Xing
Affiliation: Division of Mathematical Science, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637616, Republic of Singapore
Email: xingcp@ntu.edu.sg

Wei Li
Affiliation: Department of Mathematical Sciences, Tsinghua University, Bejing, People’s Republic of China

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09449-5
PII: S 0002-9939(08)09449-5
Keywords: Rank, diversity product, lattice
Received by editor(s): August 24, 2007
Published electronically: May 16, 2008
Additional Notes: The first author is supported by Singapore MDE-ARF research grant R60/07 and National Scientific Research Project 973 of the People’s Republic of China, 2004CB318000.
Communicated by: Wen-Ching Winnie Li
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.