Lattices Applied to Coding for Reliable and Secure Communications

DOI10.1007/978-3-319-67882-5zbMath1420.11003OpenAlexW2771712241MaRDI QIDQ4588522

Antonio Campello, Jean-Claude Belfiore, Emanuele Viterbo, Sueli I. R. Costa, Frédérique Oggier

Publication date: 26 October 2017

Published in: SpringerBriefs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-67882-5

zbMATH Keywords

coveringquantizationideal latticeslatticescodesspherical codessphere packingindex codingconstruction Awiretap coding

Mathematics Subject Classification ID

Cryptography (94A60) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Research exposition (monographs, survey articles) pertaining to information and communication theory (94-02) Lattices and convex bodies (number-theoretic aspects) (11H06) Communication theory (94A05) Theory of error-correcting codes and error-detecting codes (94Bxx)

Related Items (4)

An upper bound on the covering radius of the logarithmic lattice for cyclotomic number fields ⋮ Hull attacks on the lattice isomorphism problem ⋮ Revisiting lattice tiling decomposition and dithered quantisation ⋮ Lifted codes and lattices from codes over finite chain rings

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