Self-dual codes over ℤ4 + wℤ4
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Publication:5261048
DOI10.1142/S1793830915500147zbMath1345.94096arXiv1501.01327OpenAlexW1822362324MaRDI QIDQ5261048
Maheshanand Bhaintwal, Rama Krishna Bandi
Publication date: 1 July 2015
Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.01327
self-dual codesGray mapcodes over \(\mathbb{Z}_{4} + w\mathbb{Z}_{4}\)construction of self-dual codes
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)
Related Items (4)
Some results on linear codes over the ring \(\mathbb {Z}_4+u\mathbb {Z}_4+v\mathbb {Z}_4+uv\mathbb {Z}_4\) ⋮ On some constacyclic codes over \(\mathbb {Z}_{4}[u /\langle u^{2}-1\rangle \), their \(\mathbb {Z}_4\) images, and new codes] ⋮ An explicit representation and enumeration for negacyclic codes of length \(2^kn\) over \(\mathbb{Z}_4+u\mathbb{Z}_4\) ⋮ Some results on cyclic codes over ℤq + uℤq
Cites Work
- Self-dual codes over \(\mathbb F_2 + u\mathbb F_2 + v\mathbb F_2 + uv\mathbb F_2\)
- Self-dual codes over commutative Frobenius rings
- Linear codes over \({\mathbb{F}_2+u\mathbb{F}_2+v\mathbb{F}_2+uv\mathbb{F}_2}\)
- Construction of MDS self-dual codes over Galois rings
- The existence of a self-dual \([70 ,35 ,12\) code and formally self-dual codes.]
- Applications of coding theory to the construction of modular lattices
- Euclidean and Hermitian self-dual MDS codes over large finite fields.
- Linear codes over \(\mathbb Z_4+u\mathbb Z_4\): MacWilliams identities, projections, and formally self-dual codes
- Constructing self-dual codes over \(\mathbb{F}_q[u/(u^t)\)]
- Construction of self-dual codes over finite rings \(\mathbb Z_{p^m}\)
- Duality for modules over finite rings and applications to coding theory
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- New self-dual codes over GF(4) with the highest known minimum weights
- Type II codes, even unimodular lattices, and invariant rings
- Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/
- Some Results on Cyclic Codes Over ${F}_{2}+v{F}_{2}$
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