A mass formula for cyclic codes over Galois rings of characteristic \(p^3\)
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Publication:1637197
DOI10.1016/j.ffa.2018.04.005zbMath1423.94165OpenAlexW2799443317MaRDI QIDQ1637197
Publication date: 7 June 2018
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2018.04.005
Related Items (6)
Unnamed Item ⋮ Classification of self-dual cyclic codes over the chain ring \(\mathbb Z_p[u/\langle u^3 \rangle \)] ⋮ Cyclic codes over the ring \(\mathrm{GR}(p^e, m) [u / \langle u^k \rangle \)] ⋮ Infinite families of MDR cyclic codes over \(\mathbb{Z}_4\) via constacyclic codes over \(\mathbb{Z}_4 [u \slash \langle u^2 - 1 \rangle \)] ⋮ Self-orthogonal codes over \(\mathbb{Z}_4\) arising from the chain ring \(\mathbb{Z}_4 [u / \langle u^2 + 1 \rangle \)] ⋮ Classification of cyclic codes over a non-Galois chain ring \(\mathbb{Z}_p [u / \langle u^3 \rangle\)]
Cites Work
- Unnamed Item
- A note on cyclic codes over \(\mathrm{GR}(p^{2},m)\) of length \(p^{k}\)
- Cyclic codes over \(\text{GR}(p^2,m)\) of length \(p^k\)
- Cyclic and negacyclic codes over the Galois ring \(\text{GR}(p^2,m)\)
- On the distances of cyclic codes of length \(2^e\) over \(\mathbb Z_4\)
- Cyclic self-dual \(\mathbb Z_4\)-codes.
- Cyclic codes over \(\mathbb{Z}_{4}\) of oddly even length.
- Lee weights of cyclic self-dual codes over Galois rings of characteristic \(p^2\)
- On the generators of Z/sub 4/ cyclic codes of length 2/sup e/
- The p-adic valuation of k-central binomial coefficients
- On Self-Dual Cyclic Codes Over Finite Fields
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