Multi-Antenna Transceiver Techniques for 3g and Beyond
Multi-Antenna Transceiver Techniques for 3g and Beyond
On fast-decodable space-time block codes
IEEE Transactions on Information Theory
IEEE Transactions on Signal Processing
Square-matrix embeddable space-time block codes for complex signal constellations
IEEE Transactions on Information Theory
The golden code: a 2×2 full-rate space-time code with nonvanishing determinants
IEEE Transactions on Information Theory
Perfect Space–Time Block Codes
IEEE Transactions on Information Theory
Perfect Space–Time Codes for Any Number of Antennas
IEEE Transactions on Information Theory
Prime fuzzy ideals over noncommutative rings
Fuzzy Sets and Systems
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The Silver code has captured a lot of attention in the recent past, because of its nice structure and fast decodability. In their recent paper, Hollanti et al. show that the Silver code forms a subset of the natural order of a particular cyclic division algebra (CDA). In this paper, the algebraic structure of this subset is characterized. It is shown that the Silver code is not an ideal in the natural order but a right ideal generated by two elements in a particular order of this CDA. The exact minimum determinant of the normalized Silver code is computed using the ideal structure of the code. The construction of Silver code is then extended to CDAs over other number fields.