Cyclic and LCD Codes over a Finite Commutative Semi-local Ring
From MaRDI portal
Publication:6094949
DOI10.1007/978-981-19-3898-6_28OpenAlexW4312583145MaRDI QIDQ6094949
Arindam Ghosh, Habibul Islam, Om Prakash
Publication date: 15 September 2023
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-981-19-3898-6_28
Cites Work
- Unnamed Item
- Unnamed Item
- Complementary dual codes for counter-measures to side-channel attacks
- Quasi-cyclic complementary dual codes
- \((1 + v)\)-constacyclic codes over \(\mathbb F_2 + u\mathbb F_2 + v\mathbb F_2 + uv\mathbb F_2\)
- Construction of skew cyclic codes over \(\mathbb F_q+v\mathbb F_q\)
- On cyclic codes over the ring \(\mathbb Z_p[u/\langle u^k\rangle\)]
- Cyclic codes over \(R_{k}\)
- On complementary-dual quasi-cyclic codes
- Linear codes with complementary duals
- Cyclic codes over the integers modulo \(p^m\).
- The condition for a cyclic code to have a complementary dual
- Constructions of optimal LCD codes over large finite fields
- Linear codes with complementary duals meet the Gilbert-Varshamov bound
- A family of constacyclic codes over \(\mathbb{F}_{ p^m} [\upsilon, w/\langle \upsilon^2 - 1, w^2 - 1, \upsilon w - w \upsilon \rangle \)]
- New \(\mathbb{Z}_4\) codes from constacyclic codes over a non-chain ring
- New quantum codes from constacyclic codes over the ring \(R_{k,m}\)
- Self-dual and LCD double circulant and double negacirculant codes over \({\mathbb{F}}_q+u{\mathbb{F}}_q+v{\mathbb{F}}_q\)
- A class of constacyclic codes over \({\mathbb {Z}}_{4}[u/\langle u^{k}\rangle \)]
- Quantum codes from the cyclic codes over \(\mathbb {F}_{p}[u,v,w/\langle u^{2}-1,v^{2}-1,w^{2}-1,uv-vu,vw-wv,Wu-uw\rangle \)]
- LCD codes over finite chain rings
- (1 + u) constacyclic and cyclic codes over \(F_{2} + uF_{2}\)
- Cyclic codes over the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
- Cyclic codes over \({\mathbb{F}}_2 + u{\mathbb{F}}_2 + v{\mathbb{F}}_2 + uv{\mathbb{F}}_2\)
- \((1+\lambda u)\)-constacyclic codes over \(\mathbb F_{p}[u/\langle u^m\rangle\)]
- New quantum codes from constacyclic and additive constacyclic codes
- On the linear codes over the ring Rp
- Quantum Codes from the Cyclic Codes Over $$\mathbb {F}_{p}[v,w/\langle v^{2}-1,w^{2}-1,vw-wv\rangle $$]
- Cyclic and Negacyclic Codes Over Finite Chain Rings
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/
- Construction of reversible cyclic codes over ℤpk
- A class of constacyclic codes over the ring Z4[u,v/<u2,v2,uv - vu> and their Gray images]
- Some Results on Cyclic Codes Over ${F}_{2}+v{F}_{2}$
- LCD Cyclic Codes Over Finite Fields
- Reversible codes