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A  lattice space-time code of rank 
Author(s):
Chaoping
Xing;
Wei
Li
Journal:
Proc. Amer. Math. Soc.
136
(2008),
3415-3418.
MSC (2000):
Primary 06B99, 15A15, 11Z05, 11H71
Posted:
May 16, 2008
MathSciNet review:
2415024
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Abstract:
For all previous constructions of  lattice space-time codes with a positive diversity product, the rank was at most  . In this paper, we give an example of a  lattice space-time code of rank  with a positive diversity product.
References:
-
- 1.
- M. O. Damen, A. Tewfik and J.-C. Belfiore, A construction of a space-time code based on number theory, IEEE Trans. Inform. Theory, Vol. 48, No. 3(2002), 753-760. MR 1889980 (2003i:94003)
- 2.
- P. Dayal and M. K. Varanasi, An algebraic family of complex lattices for fading channels with application to space-time codes, IEEE Trans. Inform. Theory, Vol. 51, No. 12(2005), 4184-4202. MR 2243151 (2007b:94153)
- 3.
- A. Shokrollahi, B. Hassibi, B. M. Hochwald and W. Sweldens, Representation theory for high-rate multiple-antenna code design, IEEE Trans. Inform. Theory, Vol. 47, No. 6(2001), 2335-2367. MR 1873925 (2003j:94120)
- 4.
- W. Sierpiński, Elementary Theory of Numbers, North-Holland, 1964. MR 0175840 (31:116)
- 5.
- V. Tarokh, H. Jafarkhani and A. R. Calderbank, Space-time block codes from orthogonal designs, IEEE Trans. Inform. Theory, Vol. 45, No. 5(1999), 1456-1467. MR 1699070 (2000g:94001)
- 6.
- G. Wang, H. Liao, H. Wang, and X.-G. Xia, Systematic and optimal cyclotomic lattices and diagonal space-time block code designs, IEEE Trans. Inform. Theory, Vol. 50, No. 12(2004), pp. 3348-3360. MR 2103509
- 7.
- G. Wang and X.-G. Xia, On optimal multilayer cyclotomic space-time code designs, IEEE Trans. Inform. Theory, Vol. 51, No. 3(2005), pp. 1102-1135. MR 2237973 (2007h:94088a)
- 8.
- C. P. Xing, Diagonal Lattice Space-Time Codes from Number Fields and Asymptotic Bounds, IEEE Trans. Inform. Theory, Vol. 53, No. 11(2006), pp. 3921-3926.
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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:
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
Posted:
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
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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