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Session S29 - Theory and Applications of Coding Theory

Tuesday, July 13, 12:30 ~ 12:55 UTC-3

Lattices from codes over finite rings and applications for reliable and secure communications

Sueli I. R. Costa

University of Campinas, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Lattices are discrete sets of the n-dimensional Euclidean space which are described by all integer linear combination of a set of independent vectors. Lattice coding have been proposed for signal transmission over AWGN and fading channels and also for cryptographic schemes in the so called post-quantum cryptography. We approach lattices constructed from linear codes over finite rings and applications. Construction A lattices with coding scheme through Voronoi constellations and multilevel lattice constructions $C^{*}$, $D$, $D’$ and $\bar{D}$ from families of nested linear codes are presented.

Joint work with Ana Paula de Souza ( University of Campinas, Brazil) and Eleonesio Strey (Federal University of Espirito Santo, Brazil).

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