Some constacyclic codes over \({\mathbb Z}_{2^k}\) and binary quasi-cyclic codes.
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Publication:1811115
DOI10.1016/S0166-218X(02)00453-5zbMath1041.94014MaRDI QIDQ1811115
Horacio Tapia-Recillas, Gerardo Vega
Publication date: 10 June 2003
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
gray mapconstacyclichalf plus one-cyclicHpo-cyclicnegacyclicquasi-cyclic and cyclic codes over \(\mathbb{Z}_{2^k}\)
Related Items (11)
Constacyclic codes over finite local Frobenius non-chain rings with nilpotency index 3 ⋮ The Gray image of a class of constacyclic codes over polynomial residue rings ⋮ Linear codes and cyclic codes over finite rings and their generalizations: a survey ⋮ On constacyclic codes over finite chain rings ⋮ \((1+\lambda u)\)-constacyclic codes over \(\mathbb F_{p}[u/\langle u^m\rangle\)] ⋮ The Gray images of \((1+u)\) constacyclic codes over \(\mathbb F_{2^m}[u/\langle u^k\rangle\)] ⋮ A class of constacyclic codes over \(\mathbb Z_{p^m}\) ⋮ The Gray image of constacyclic codes over the finite chain ring \(F_{p^m}[u/\langle u^k\rangle \)] ⋮ Some constacyclic self-dual codes over the integers modulo \(2^m\) ⋮ Some families of \(\mathbb Z_4\)-cyclic codes ⋮ Complete classification of \((\delta + \alpha u^2)\)-constacyclic codes of length \(p^k\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m} + u^2 \mathbb{F}_{p^m}\)
Uses Software
Cites Work
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- Cyclic codes over the integers modulo \(p^m\).
- Modular and \(p\)-adic cyclic codes
- Good linear codes of length 27 and 28 (Corresp.)
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Gray isometries for finite chain rings and a nonlinear ternary (36, 3/sup 12/, 15) code
- Negacyclic and cyclic codes over Z/sub 4/
- Z/sub 2/k-linear codes
- Cyclic codes and quadratic residue codes over Z/sub 4/
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