Some classes of linear codes over \(\mathbb {Z}_4+v\mathbb {Z}_4\) and their applications to construct good and new \(\mathbb {Z}_4\)-linear codes
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Publication:2358421
DOI10.1007/s00200-016-0300-0zbMath1390.94874OpenAlexW2527242751MaRDI QIDQ2358421
Jian Gao, Yun Gao, Fang-Wei Fu
Publication date: 14 June 2017
Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00200-016-0300-0
self-dual codescyclic codesquadratic residue codesunimodular complex latticesgand new \(\mathbb {Z}_4\)-linear codes
Related Items (4)
Linear Codes Over a General Infinite Family of Rings and Macwilliams-Type Relations ⋮ A study of quantum codes obtained from cyclic codes over a non-chain ring ⋮ Cyclic and constacyclic codes over the ring Z4[u/⟨u3 − u2⟩ and their Gray images] ⋮ \(( \sigma, \delta )\)-skew quasi-cyclic codes over the ring \(\mathbb{Z}_4+u\mathbb{Z}_4 \)
Cites Work
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- A mass formula for negacyclic codes of length \(2^k\) and some good negacyclic codes over \(\mathbb {Z}_{4}+u\mathbb {Z}_{4}\)
- Cyclic self-dual \(\mathbb Z_4\)-codes.
- Linear codes over \(\mathbb Z_4+u\mathbb Z_4\): MacWilliams identities, projections, and formally self-dual codes
- Quadratic residue codes over \(\mathbb{F}_p + v \mathbb{F}_p\) and their Gray images
- Cyclic and some constacyclic codes over the ring \(\frac{\mathbb{Z}_4 [u}{\langle u^2 - 1 \rangle}\)]
- Fundamentals of Error-Correcting Codes
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Type II codes, even unimodular lattices, and invariant rings
- Cyclic codes and quadratic residue codes over Z/sub 4/
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