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Advances in Mathematics of Communications (AMC)
 

Linear programming bounds for unitary codes

Pages: 323 - 344, Volume 4, Issue 3, August 2010      doi:10.3934/amc.2010.4.323

 
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Jean Creignou - Université Bordeaux 1, Institut de Mathématiques, 351 cours de la Libération, F-33405 Talence cedex, France (email)
Hervé Diet - Université Bordeaux 1, Institut de Mathématiques, 351 cours de la Libération, F-33405 Talence cedex, France (email)

Abstract: The linear programming method is developed in the space of unitary matrices in order to obtain bounds for unitary codes relative to the so-called diversity sum and diversity product. Theoretical and numerical results improving previously known bounds are derived.

Keywords:  Bounds, linear programming, space time codes, unitary codes, unitary matrices.
Mathematics Subject Classification:  Primary: 94B65, 05E20, 94A99 , 68P30, 49K21; Secondary: 49R99, 49S99.

Received: August 2009;      Revised: July 2010;      Available Online: August 2010.