Algebraic constructions of rotated unimodular lattices and direct sum of Barnes-Wall lattices
| Autor: | Agnaldo José Ferrari, João E. Strapasson, Grasiele C. Jorge, Sueli I. R. Costa |
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| Přispěvatelé: | Universidade Estadual de Campinas (UNICAMP), Universidade Estadual Paulista (Unesp), Universidade de São Paulo (USP) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Ring (mathematics)
minimum product distance Algebra and Number Theory Direct sum Computer Science::Information Retrieval Applied Mathematics Astrophysics::Instrumentation and Methods for Astrophysics Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) Combinatorics Unimodular matrix Barnes-Wall lattices Unimodular lattices Computer Science::General Literature cyclotomic fields Algebraic number Mathematics |
| Zdroj: | Scopus Repositório Institucional da UNESP Universidade Estadual Paulista (UNESP) instacron:UNESP |
| Popis: | Made available in DSpace on 2020-12-12T01:15:01Z (GMT). No. of bitstreams: 0 Previous issue date: 2020-01-01 In this paper, we construct some families of rotated unimodular lattices and rotated direct sum of Barnes-Wall lattices BWn for n = 4, 8 and 16 via ideals of the ring of the integers azeta&2rq + ;zeta&2rq-1] for q = 3, 5 and 15. We also construct rotated BW16 and BW32-lattices via a;-submodules of azeta&2r15 + ;zeta&2r15-1]. Our focus is on totally real number fields since the associated lattices have full diversity and then may be suitable for signal transmission over both Gaussian and Rayleigh fading channels. The minimum product distances of such constructions are also presented here. School of Applied Sciences University of Campinas School of Sciences São Paulo State University (UNESP) Institute of Science and Technology Federal University of São Paulo São José Dos Campos Institute of Mathematics Statistics and Scientific Computing University of Campinas School of Sciences São Paulo State University (UNESP) |
| Databáze: | OpenAIRE |
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