Bounds on Covering Codes in RT spaces using Ordered Covering Arrays

Bounds on Covering Codes in RT spaces using Ordered Covering Arrays

In this work, constructions of ordered covering arrays are discussed and applied to obtain new upper bounds on covering codes in Rosenbloom-Tsfasman spaces (RT spaces), improving or extending some previous results.

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Veröffentlicht in:arXiv.org 2022-07
Hauptverfasser: André Guerino Castoldi, Emerson Luiz do Monte Carmelo, Moura, Lucia, Panario, Daniel, Stevens, Brett
Format: Artikel
Sprache:eng
Schlagworte:
Arrays
Computer Science - Discrete Mathematics
Computer Science - Information Theory
Mathematics - Combinatorics
Mathematics - Information Theory
Upper bounds
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Beschreibung
Zusammenfassung:In this work, constructions of ordered covering arrays are discussed and applied to obtain new upper bounds on covering codes in Rosenbloom-Tsfasman spaces (RT spaces), improving or extending some previous results.
ISSN:2331-8422
DOI:10.48550/arxiv.2208.01412