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Combinatorial metrics: MacWilliams-type identities, isometries and extension property

Full text
Author(s):
Pinheiro, Jerry Anderson ; Machado, Roberto Assis ; Firer, Marcelo
Total Authors: 3
Document type: Journal article
Source: DESIGNS CODES AND CRYPTOGRAPHY; v. 87, n. 2-3, p. 14-pg., 2019-03-01.
Abstract

In this work we characterize the combinatorial metrics admitting a MacWilliams-type identity and describe the group of linear isometries of such metrics. Considering the binary case, we classify the metrics satisfying the MacWilliams extension property (for disconnected coverings) and give a necessary condition for the extension property (for connected coverings). (AU)

FAPESP's process: 17/14616-4 - Generalizations of threshold graphs
Grantee:Roberto Assis Machado
Support Opportunities: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 17/10018-5 - Alphabet size: vector network coding outperforms scalar network coding
Grantee:Jerry Anderson Pinheiro
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
FAPESP's process: 13/25977-7 - Security and reliability of Information: theory and practice
Grantee:Marcelo Firer
Support Opportunities: Research Projects - Thematic Grants