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Normalized Minimum Determinant Calculation for Multi-Block and Asymmetric Space-Time Codes

Camilla Hollanti, Hsiao-feng (Francis) Lu, Normalized Minimum Determinant Calculation for Multi-Block and Asymmetric Space-Time Codes. In: Hsiao-feng (Francis) Lu Serdar Boztas (Ed.), Springer Lecture Notes in Computer Science: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, LNCS 4851, 227-236, Springer-Verlag Berlin, 2007.

Abstract:

The aim of this paper is to show the connection between certain, previously constructed multi-block and asymmetric space-time codes. The Gram determinants of the two constructions coincide, and hence the corresponding lattices share the same density. Using the notion of density, we define the normalized minimum determinant and give an implicit lower bound depending on the center of the cyclic division algebra in use. The calculation of the normalized minimum determinant is then performed in practice by using explicit code constructions.

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BibTeX entry:

@INPROCEEDINGS{inpHoLu07a,
  title = {Normalized Minimum Determinant Calculation for Multi-Block and Asymmetric Space-Time Codes},
  booktitle = {Springer Lecture Notes in Computer Science: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes},
  author = {Hollanti, Camilla and Lu, Hsiao-feng (Francis)},
  volume = {LNCS 4851},
  editor = {Serdar Boztas, Hsiao-feng (Francis) Lu},
  publisher = {Springer-Verlag Berlin},
  pages = {227-236},
  year = {2007},
  keywords = {Asymmetric space-time block codes, cyclic division algebras, dense lattices, discriminants, diversity-multiplexing tradeoff, maximal orders, MIMO, non-vanishing determinant},
}

Belongs to TUCS Research Unit(s): FUNDIM, Fundamentals of Computing and Discrete Mathematics

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