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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A $2\times 2$ lattice space-time code of rank $5$
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by Chaoping Xing and Wei Li PDF
Proc. Amer. Math. Soc. 136 (2008), 3415-3418 Request permission

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
  • MR Author ID: 264368
  • Email: xingcp@ntu.edu.sg
  • Wei Li
  • Affiliation: Department of Mathematical Sciences, Tsinghua University, Bejing, People’s Republic of China
  • 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
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 3415-3418
  • MSC (2000): Primary 06B99, 15A15, 11Z05, 11H71
  • DOI: https://doi.org/10.1090/S0002-9939-08-09449-5
  • MathSciNet review: 2415024