On ℤq-linear and ℤq-Simplex codes and its related parameters forqis a prime power

DOI10.1080/09720529.2014.903699OpenAlexW2032634586MaRDI QIDQ5069687

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Publication date: 19 April 2022

Published in: Journal of Discrete Mathematical Sciences and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720529.2014.903699

zbMATH Keywords

covering radiuscodes over finite rings\( \mathbb{Z}_q\)-linear code\( \mathbb{Z}_q\)-MacDonald code\( \mathbb{Z}_q\)-simplex code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Lattice packing and covering (number-theoretic aspects) (11H31)

Related Items (2)

On some punctured codes of ℤq-Simplex codes ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• On the covering radius of some modular codes
• Self-dual codes over the integers modulo 4
• Self-dual codes over rings and the Chinese remainder theorem
• Type II self-dual codes over finite rings and even unimodular lattices
• An efficient algorithm for constructing minimal trellises for codes over finite abelian groups
• Covering radius---Survey and recent results
• Further results on the covering radius of codes
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Type II codes over Z/sub 4/
• On the covering radius of Z/sub 4/-codes and their lattices
• Type II codes over F/sub 2/+uF/sub 2/
• Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/

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