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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Hollanti, C., Lu, Hf.(. (2007). Normalized Minimum Determinant Calculation for Multi-block and Asymmetric Space-Time Codes. In: Boztaş, S., Lu, HF.(. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2007. Lecture Notes in Computer Science, vol 4851. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77224-8_27
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DOI: https://doi.org/10.1007/978-3-540-77224-8_27
Publisher Name: Springer, Berlin, Heidelberg
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