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A $2\times2$ lattice space-time code of the highest rank

Author(s): Shichun Yang; Bo He; Alain Togbé
Journal: Proc. Amer. Math. Soc. 137 (2009), 3601-3607.
MSC (2000): Primary 06B99, 15A15; Secondary 11Z05
Posted: June 5, 2009
MathSciNet review: 2529866
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Abstract: For all previous constructions of $2\times2$ lattice space-time codes with a positive diversity product, the rank was such that $r(2)\leq 4$ . An example of a $2\times2$ lattice space-time code of rank with a positive diversity product was given by Xing and Li. In this paper, we give an example of a $2\times2$ lattice space-time code of rank with a positive diversity product. This gives an answer to the open problem set by Xing and Li.

References:

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Additional Information:

Shichun Yang
Affiliation: Department of Mathematics, Aba Teachers' College, Wenchuan, Sichuan, 623000, People's Republic of China
Email: ysc1020@sina.com

Bo He
Affiliation: Department of Mathematics, Aba Teachers' College, Wenchuan, Sichuan, 623000, People's Republic of China
Email: bhe@live.cn

Alain Togbé
Affiliation: Department of Mathematics, Purdue University North Central, 1401 S, U.S. 421, Westville, Indiana 46391
Email: atogbe@pnc.edu

DOI: 10.1090/S0002-9939-09-10004-7
PII: S 0002-9939(09)10004-7
Keywords: Rank, diversity product, lattice
Received by editor(s): February 17, 2009
Posted: June 5, 2009
Communicated by: Wen-Ching Winnie Li
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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