Dual and self-dual negacyclic codes of even length over \(\mathbb Z_{2^a}\)

DOI10.1016/j.disc.2008.05.013zbMath1165.94011OpenAlexW1972865492MaRDI QIDQ1025494

Shixin Zhu, Xiaoshan Kai

Publication date: 19 June 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2008.05.013

zbMATH Keywords

Galois ringsnegacyclic codesself-dual negacyclic codes

Mathematics Subject Classification ID

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

Related Items (12)

A class of constacyclic codes over \(\mathbb F_{p}+v\mathbb F_{p}\) and its Gray image ⋮ Negacyclic codes over Galois rings of characteristic \(2^a\) ⋮ \((1+\lambda u)\)-constacyclic codes over \(\mathbb F_{p}[u/\langle u^m\rangle\)] ⋮ Negacyclic self-dual codes over finite chain rings ⋮ Unnamed Item ⋮ Repeated-root constacyclic codes over \(\mathbb{F}_2 + u \mathbb{F}_2 + v \mathbb{F}_2 + u v \mathbb{F}_2\) ⋮ On constacyclic codes over \(Z_{p_1 p_2 \cdots p_t}\) ⋮ A note on negacyclic self-dual codes over \(\mathbb Z_{2^{a}}\) ⋮ A class of constacyclic codes over \(\mathbb Z_{p^m}\) ⋮ The depth spectrum of negacyclic codes over \(\mathbb{Z}_4\) ⋮ Some constacyclic self-dual codes over the integers modulo \(2^m\) ⋮ A class of constacyclic codes over a finite field

Cites Work

• Cyclic codes over the integers modulo \(p^m\).
• Cyclic self-dual \(\mathbb Z_4\)-codes.
• On the structure of linear and cyclic codes over a finite chain ring
• Cyclic codes over \(\mathbb{Z}_{4}\) of oddly even length.
• Cyclic codes and minimal strong Gröbner bases over a principal ideal ring.
• Repeated-root cyclic and negacyclic codes over a finite chain ring
• Cyclic codes over \(\mathbb Z_4\) of even length
• On the generators of Z/sub 4/ cyclic codes of length 2/sup e/
• Negacyclic Codes of Length<tex>$2^s$</tex>Over Galois Rings
• Cyclic and Negacyclic Codes Over Finite Chain Rings
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Negacyclic and cyclic codes over Z/sub 4/
• Binary images of cyclic codes over Z/sub 4/
• On the algebraic structure of quasi-cyclic codes .I. Finite fields
• Negacyclic codes over Z/sub 4/ of even length
• Cyclic self-dual codes
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