Busca avançada
Ano de início
Entree


The Generalized Covering Radii of Linear Codes

Texto completo
Autor(es):
Elimelech, Dor ; Firer, Marcelo ; Schwartz, Moshe ; IEEE
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: 2021 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT); v. N/A, p. 6-pg., 2021-01-01.
Resumo

Motivated by an application to database linear querying, such as private information-retrieval protocols, we suggest a fundamental property of linear codes - the generalized covering radius. The generalized covering-radius hierarchy of a linear code characterizes the trade-off between storage amount, latency, and access complexity, in such database systems. Several equivalent definitions are provided, showing this as a combinatorial, geometric, and algebraic notion. We derive bounds on the code parameters in relation with the generalized covering radii, study the effect of simple code operations, and describe a connection with generalized Hamming weights. (AU)

Processo FAPESP: 13/25977-7 - Segurança e confiabilidade da informação: teoria e prática
Beneficiário:Marcelo Firer
Modalidade de apoio: Auxílio à Pesquisa - Temático