Skew constacyclic codes over finite chain rings

From MaRDI portal
Publication:414946

DOI10.3934/amc.2012.6.39zbMath1279.94146arXiv1008.0327OpenAlexW2963945674WikidataQ62577995 ScholiaQ62577995MaRDI QIDQ414946

San Ling, Somphong Jitman, Pattanee Udomkavanich

Publication date: 11 May 2012

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0327




Related Items

Double skew cyclic codes over \(\mathbb{F}_q\)On the dual codes of skew constacyclic codesA class of skew-cyclic codes over \(\mathbb{Z}_4+u\mathbb{Z}_4\) with derivationSkew cyclic codes over \(\mathbb F_q+u\mathbb F_q+v\mathbb F_q+uv\mathbb F_q\)Codes over \(\mathbb F_{4}+v\mathbb F_4\) and some DNA applicationsOn \(\mathbb{Z}_2\mathbb{Z}_4[\xi\)-skew cyclic codes] ⋮ \(\mathbb{F}_qR\)-linear skew cyclic codesOn the linear codes over the ring RpConcatenated structure of left dihedral codes$\mathbb{Z}_{q}(\mathbb{Z}_{q}+u\mathbb{Z}_{q})$-Linear Skew Constacyclic CodesSkew cyclic codes over Fq + uFq + vFqUnnamed ItemSKEW-CONSTACYCLIC CODES OVERReversible DNA codes over \(F_{16}+uF_{16}+vF_{16}+uvF_{16}\)Unnamed ItemA class of constacyclic codes over the ring Z4[u,v/<u2,v2,uv - vu> and their Gray images] ⋮ Finite nonassociative algebras obtained from skew polynomials and possible applications to \((f,\sigma,\delta)\)-codesON GENERALIZATIONS OF SKEW QUASI-CYCLIC CODESUnnamed ItemGalois LCD codes over ringsLinear codes and cyclic codes over finite rings and their generalizations: a survey\((x^n - (a+bw), \xi, \eta)\)-skew constacyclic codes over \(\mathbb{F}_q + w\mathbb{F}_q\) and their applications in quantum codesSkew Constacyclic Codes over $$F_q+vF_q$$\(\mathbb{F}_qR\)-linear skew constacyclic codes and their application of constructing quantum codesOn left quaternion codesConstacyclic and skew constacyclic codes over a finite commutative non-chain ringSkew constacyclic codes of lengths \(p^s\) and \(2p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m} \)Quantum and LCD codes from skew constacyclic codes over a finite non-chain ringEntanglement-assisted binary quantum codes from skew cyclic codes over \(\mathbb{F}_2\times(\mathbb{F}_2+v\mathbb{F}_2)\)On a class of skew constacyclic codes over mixed alphabets and applications in constructing optimal and quantum codesNew quantum codes from skew constacyclic codesSkew constacyclic codes over finite commutative semi-simple ringsA class of skew cyclic codes and application in quantum codes constructionSkew quasi cyclic codes over 𝔽q + v𝔽qConstruction of skew cyclic codes over \(\mathbb F_q+v\mathbb F_q\)On self-dual skew cyclic codes of length \(p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m} \)Some skew constacyclic codes over \(\mathbb{F}_q+u\mathbb{F}_q\)New quantum codes from skew constacyclic codes over a class of non-chain rings \(R_{e, q}\)Left dihedral codes over Galois rings \(\mathrm{GR}(p^2, m)\)On skew cyclic codes over a semi-local ringNew \(\mathbb{Z}_4\) codes from constacyclic codes over a non-chain ringSkew constacyclic codes over finite fields and finite chain ringsSelf-dual abelian codes in some nonprincipal ideal group algebrasQuantum codes from skew constacyclic codes over the ring \(\mathbb{F}_q [u, v \slash \langle u^2 - 1, v^2 - 1, u v - v u \rangle \)] ⋮ On skew cyclic codes over \(F_q+vF_q+v^2F_q\)A note on skew constacyclic codes over 𝔽q + u𝔽q + v𝔽qA class of constacyclic codes and skew constacyclic codes over \(\mathbb{Z}_{2^s}+u\mathbb{Z}_{2^s}\) and their Gray imagesStudy on negacyclic codes over the ring \(\mathbb{Z}_{p}[U/<u^{k+1}-u>\)] ⋮ A class of constacyclic codes over \({\mathbb {Z}}_{4}[u/\langle u^{k}\rangle \)] ⋮ Left dihedral codes over finite chain ringsDual skew codes from annihilators: Transpose Hamming ring extensionsSkew constacyclic codes over a non-chain ring \({\mathbb{F}}_q[u,v/\langle f(u),g(v), uv-vu\rangle \)] ⋮ A family of constacyclic codes over a class of non-chain rings \({\mathcal{A}}_{q,r}\) and new quantum codes$(1-2u^2)$-constacyclic codes over $\mathbb{F}_p+u\mathbb{F}_p+u^2\mathbb{F}_p$On the linear codes over the ring Z₄+v₁Z₄+...+v_{t}Z₄\((\theta, \delta_\theta)\)-cyclic codes over \(\mathbb{F}_q[u,v / \langle u^2-u, v^2-v, uv-vu \rangle\)] ⋮ Quantum codes from \((1-2u_1-2u_2-\cdots-2u_m)\)-skew constacyclic codes over the ring \(F_q+u_1F_q+\cdots+u_{2m}F_q\)\((f, \sigma, \delta)\)-skew polycyclic codes and their applications to quantum codes




This page was built for publication: Skew constacyclic codes over finite chain rings