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Linear programming bounds for unitary codes. (English) Zbl 1213.94200
Summary: 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.
MSC:
94B65 Bounds on codes
05E99 Algebraic combinatorics
94A99 Communication, information
68P30 Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science)
49K21 Optimality conditions for problems involving relations other than differential equations
49R99 Variational methods for eigenvalues of operators (should also be assigned at least one other classification number in Section 49-XX)
49S99 Variational principles of physics (should also be assigned at least one other classification number in Section 49-XX)
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