Kernels and ranks of cyclic and negacyclic quaternary codes

DOI10.1007/s10623-015-0163-6zbMath1405.94119OpenAlexW2205473711MaRDI QIDQ306346

Cristina Fernández-Córdoba, Steven T. Dougherty

Publication date: 31 August 2016

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/165926

zbMATH Keywords

rankkernelcyclic codesquaternary codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15)

Related Items

Quaternary group ring codes: ranks, kernels and self-dual codes ⋮ Construction and enumeration for self-dual cyclic codes over \(\mathbb Z_4\) of oddly even length

Cites Work

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• Cyclic codes over \(\mathbb Z_4\) of even length
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• On Z/sub 4/-linear preparata-like and kerdock-like codes
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Binary images of cyclic codes over Z/sub 4/
• Negacyclic codes over Z/sub 4/ of even length
• Cyclic codes and quadratic residue codes over Z/sub 4/