Some results on cyclic codes over ℤq + uℤq

DOI10.1142/S1793830915500585zbMath1371.94684MaRDI QIDQ2788736

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Publication date: 22 February 2016

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

zbMATH Keywords

cyclic codesBCH boundminimum generating setsfree cyclic codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Bounds on codes (94B65) Cyclic codes (94B15)

Related Items (7)

Ideal structure of Zq + uZq and Zq + uZq-cyclic codes ⋮ Repeated root cyclic codes over \(\mathbb{Z}_{p^2}+u\mathbb{Z}_{p^2}\) and their Lee distances ⋮ Duadic codes over \(\mathbb{Z}_4+u\mathbb{Z}_4 \) ⋮ On cyclic codes over \(\mathbb{Z}_q [u / \langle u^2 \rangle\) and their enumeration] ⋮ Cyclic codes over $\mathbb{Z}_{4}+u\mathbb{Z}_{4}+u^{2}\mathbb{Z}_{4}$ ⋮ Cyclic codes of odd length over \(\mathbb{Z}_4 [u/u^k\)] ⋮ Cyclic codes over the ring \(\mathrm{GR}(p^e, m) [u / \langle u^k \rangle \)]

Cites Work

• Unnamed Item
• A class of constacyclic codes over \(\mathbb F_{p}+v\mathbb F_{p}\) and its Gray image
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Self-dual codes over ℤ₄ + wℤ₄

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