A complete structure of skew cyclic codes over \(\mathbb{Z}_4 + u \mathbb{Z}_4\)
From MaRDI portal
Publication:6646800
DOI10.3934/amc.2023057MaRDI QIDQ6646800
Publication date: 3 December 2024
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
Linear codes (general theory) (94B05) Ordinary and skew polynomial rings and semigroup rings (16S36) Other types of codes (94B60) Structure, classification theorems for modules and ideals in commutative rings (13C05) Cyclic codes (94B15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Skew cyclic codes of arbitrary length
- \(F_3R\)-skew cyclic codes
- Information set decoding in the Lee metric with applications to cryptography
- On skew cyclic codes over \(\mathbb F_3\) + \(v\mathbb F_3\)
- On cyclic codes over \(\mathbb{Z}_4\) + \(u\mathbb{Z}_4\) and their \(\mathbb{Z}_4\)-images
- Skew-cyclic codes
- A class of skew-cyclic codes over \(\mathbb{Z}_4+u\mathbb{Z}_4\) with derivation
- On some constacyclic codes over \(\mathbb {Z}_{4}[u /\langle u^{2}-1\rangle \), their \(\mathbb {Z}_4\) images, and new codes]
- Linear codes over \(\mathbb Z_4+u\mathbb Z_4\): MacWilliams identities, projections, and formally self-dual codes
- Cyclic and some constacyclic codes over the ring \(\frac{\mathbb{Z}_4 [u}{\langle u^2 - 1 \rangle}\)]
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Some Constacyclic Codes over ℤ4[u/〈u2〉,, New Gray Maps, and New Quaternary Codes]
- Quaternary Constant-Amplitude Codes for Multicode CDMA
- Skew cyclic codes over 𝔽4R
- SKEW CYCLIC CODES OVER Fp+ vFp
- An updated database of \(\mathbb{Z}_4\) codes and an open problem about quasi-cyclic codes
- Skew cyclic codes over \(\mathbb{Z}_4+u \mathbb{Z}_4+v \mathbb{Z}_4\)
This page was built for publication: A complete structure of skew cyclic codes over \(\mathbb{Z}_4 + u \mathbb{Z}_4\)