Titlebook: Number Theory Meets Wireless Communications; Victor Beresnevich,Alister Burr,Sanju Velani Book 2020 Springer Nature Switzerland AG 2020 La

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Multilevel Lattices for Compute-and-Forward and Lattice Network Coding,cludes Construction .. and elementary divisor construction (a.k.a. Construction ..). Some important properties such as kissing numbers, nominal coding gains, goodness of channel coding, and efficient decoding algorithms of these constructions are also discussed. We then present a multilevel framewor

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Multilevel Lattices for Compute-and-Forward and Lattice Network Coding,lattice codes under multistage decoding is analyzed. We also study the multilevel structure of LNC, which serves as the theoretical basis for solving the ring-based LNC problem in practice. Simulation results show the large potential of using iterative multistage decoding to approach the capacity.

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2192-4732 nes.Includes background material as well as recent advancesThis volume explores the rich interplay between number theory and wireless communications, reviewing the surprisingly deep connections between these fields and presenting new research directions to inspire future research. .The contributions

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