A class of constacyclic codes over a finite field. II

DOI10.1007/s13226-015-0158-zzbMath1346.94151OpenAlexW1781717270MaRDI QIDQ308341

Madhu Raka

Publication date: 6 September 2016

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-015-0158-z

zbMATH Keywords

self-dual codesconstacyclic codesself-orthogonal codescyclotomic cosetsnegacyclic codes

Mathematics Subject Classification ID

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

Related Items

Repeated-root constacyclic codes of length \(n l p^s\) ⋮ Two dimensional constacyclic codes of arbitrary length over finite fields ⋮ Repeated-root constacyclic codes of length \(3lp^s\) and their dual codes ⋮ \((1-2u^{3})\)-constacyclic codes and quadratic residue codes over \(\mathbb {F}_{p}[u/\langle u^{4}-u\rangle \)] ⋮ The minimum Hamming distances of repeated-root cyclic codes of length \(6p^s\) and their MDS codes ⋮ The Hamming distances of repeated-root cyclic codes of length \(5 p^s\)

Cites Work

• Unnamed Item
• Existence of cyclic self-orthogonal codes: a note on a result of Vera Pless
• Repeated-root constacyclic codes of length
• Constacyclic codes over finite fields
• A class of constacyclic codes over a finite field
• Negacyclic duadic codes
• Self-dual and self-orthogonal negacyclic codes of length \(2p^n\) over a finite field
• Structure of repeated-root constacyclic codes of length \(3p^s\) and their duals
• ON REPEATED-ROOT CONSTACYCLIC CODES OF LENGTH 4p^s
• Cyclic and Negacyclic Codes Over Finite Chain Rings
• A class of constacyclic codes
• On Self-Dual Cyclic Codes Over Finite Fields