Linear codes over \(\frac{\mathbb{Z}_4[x]}{\langle{x^2} + 2x \rangle}\)
From MaRDI portal
Publication:906905
DOI10.1504/IJICOT.2015.068698zbMATH Open1350.94060OpenAlexW1787518919MaRDI QIDQ906905
Yildiz Bahattin, Edgar Martínez-Moro, Steve Szabo
Publication date: 29 January 2016
Published in: International Journal of Information and Coding Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1504/ijicot.2015.068698
Reed-Muller codesself-dual codescodes over ringschain ringFrobenius ring\(Z_4\) codeslocal Frobenius non-chain rings
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)
Related Items (17)
Duality preserving Gray maps for codes over rings ⋮ 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 ⋮ Negacyclic codes over the local ring \(\mathbb{Z}_4 [v / \langle v^2 + 2 v \rangle\) of oddly even length and their gray images] ⋮ \(\mathbb Z_2\mathbb Z_4\)-linear codes: Generator matrices and duality ⋮ Unnamed Item ⋮ Z2Z4-Linear Codes ⋮ Complete classification for simple root cyclic codes over the local ring \(\mathbb{Z}_4[v/\langle v^2+2v\rangle \)] ⋮ ℤ₂ℤ₄-additive codes as codes over rings ⋮ Unnamed Item ⋮ Constructions of self-dual codes and formally self-dual codes over rings ⋮ Four classes of linear codes from cyclotomic cosets ⋮ On some constacyclic codes over \(\mathbb {Z}_{4}[u /\langle u^{2}-1\rangle \), their \(\mathbb {Z}_4\) images, and new codes] ⋮ On codes over Frobenius rings: generating characters, MacWilliams identities and generator matrices ⋮ Constacyclic and quasi-twisted codes over \(\mathbb{Z}_q [u / \langle u^2 - 1 \rangle\) and new \(\mathbb{Z}_4\)-linear codes] ⋮ On linear codes over \(\mathbb Z_2\) ⋮ On the linear codes over the ring Z₄+v₁Z₄+...+v_{t}Z₄ ⋮ NEW OPTIMAL LINEAR CODES OVER
This page was built for publication: Linear codes over \(\frac{\mathbb{Z}_4[x]}{\langle{x^2} + 2x \rangle}\)