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Achieving Uniform Side Information Gain With Multilevel Lattice Codes Over the Ring of Integers

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Autor(es):
Souza, Juliana G. F. ; Costa, Sueli I. R.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: IEEE COMMUNICATIONS LETTERS; v. 29, n. 7, p. 5-pg., 2025-07-01.
Resumo

The index coding problem aims to optimise broadcast communication by exploring side information available at the receivers. In this work, we investigate the use of Construction pi(A) lattices over the ring of integers Z for index coding and establish algebraic conditions on the code generators to guarantee uniform side information gain. The effectiveness of the proposed approach is demonstrated through theoretical analysis and explicit code design examples. (AU)

Processo FAPESP: 20/09838-0 - BI0S - Brazilian Institute of Data Science
Beneficiário:João Marcos Travassos Romano
Modalidade de apoio: Auxílio à Pesquisa - Programa Centros de Pesquisa Aplicada