Cyclic and some constacyclic codes over the ring \(\frac{\mathbb{Z}_4 [u]}{\langle u^2 - 1 \rangle}\)
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Publication:2634388
DOI10.1016/J.FFA.2015.12.003zbMath1356.94096OpenAlexW2216452509MaRDI QIDQ2634388
Publication date: 9 February 2016
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2015.12.003
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Uses Software
Cites Work
- \((1 + v)\)-constacyclic codes over \(\mathbb F_2 + u\mathbb F_2 + v\mathbb F_2 + uv\mathbb F_2\)
- On cyclic codes over \(\mathbb{Z}_4\) + \(u\mathbb{Z}_4\) and their \(\mathbb{Z}_4\)-images
- Linear codes over \(\mathbb Z_4+u\mathbb Z_4\): MacWilliams identities, projections, and formally self-dual codes
- Constacyclic codes over \(\mathbb F_2 + u\mathbb F_2\)
- (1 + u) constacyclic and cyclic codes over \(F_{2} + uF_{2}\)
- Cyclic codes over the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Binary images of cyclic codes over Z/sub 4/
- Cyclic codes and quadratic residue codes over Z/sub 4/
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