Busca avançada
Ano de início
Entree


Metrics which turn tilings into binary perfect codes

Texto completo
Autor(es):
Miyamoto, Gabriella Akemi ; Firer, Marcelo ; IEEE
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: 2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT); v. N/A, p. 5-pg., 2019-01-01.
Resumo

In this work, we consider tilings of the Hamming cube and look for metrics which turn the tilings into a perfect code. We consider the family of metrics which are determined by a weight and are compatible with the support of vectors (TS-metrics). We determine which of the tilings with small tiles or high rank can be a perfect code for some TS-metric and we characterize all such metrics. Finally, we show some procedures to obtain new perfect codes (relatively to TS-metrics) out of existing ones. (AU)

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