Quantum and LCD codes from skew constacyclic codes over a finite non-chain ring
From MaRDI portal
Publication:6159258
DOI10.1007/s11128-023-03951-0MaRDI QIDQ6159258
No author found.
Publication date: 1 June 2023
Published in: Quantum Information Processing (Search for Journal in Brave)
Linear codes (general theory) (94B05) Quantum computation (81P68) Other types of codes (94B60) Cyclic codes (94B15) Decoding (94B35)
Cites Work
- Unnamed Item
- Unnamed Item
- Construction of quantum codes from cyclic codes over \(\mathbb F_p + v\mathbb F_p\)
- Quantum codes from cyclic codes over \(F_q+uF_q+vF_q+uvF_q\)
- Skew constacyclic codes over finite chain rings
- Construction of skew cyclic codes over \(\mathbb F_q+v\mathbb F_q\)
- From skew-cyclic codes to asymmetric quantum codes
- Skew constacyclic codes over Galois rings
- Quantum codes derived from negacyclic codes
- Coding with skew polynomial rings
- Skew constacyclic codes over a non-chain ring \({\mathbb{F}}_q[u,v/\langle f(u),g(v), uv-vu\rangle \)]
- An overview on skew constacyclic codes and their subclass of LCD codes
- Skew-cyclic codes
- Linear codes with complementary duals
- The condition for a cyclic code to have a complementary dual
- \(u\)-constacyclic codes over \(\mathbb F_p+u\mathbb F_p\) and their applications of constructing new non-binary quantum codes
- Hermitian LCD codes from cyclic codes
- Quantum codes derived from cyclic codes
- Euclidean and Hermitian LCD MDS codes
- Theory of non-commutative polynomials
- Constacyclic codes over the ring \(\mathbb {F}_q+v\mathbb {F}_q+v^2\mathbb {F}_q\) and their applications of constructing new non-binary quantum codes
- Quantum MDS codes from BCH constacyclic codes
- New quantum codes from constacyclic codes over the ring \(R_{k,m}\)
- Quantum codes from repeated-root cyclic and negacyclic codes of length \(4p^s\) over \(\mathbb{F}_{p^m} \)
- New non-binary quantum codes from constacyclic codes over \( \mathbb{F}_q[u,v/\langle u^{2}-1, v^{2}-v, uv-vu\rangle \)]
- Quantum codes from the cyclic codes over \(\mathbb {F}_{p}[u,v,w/\langle u^{2}-1,v^{2}-1,w^{2}-1,uv-vu,vw-wv,Wu-uw\rangle \)]
- Skew multi-twisted codes over finite fields and their Galois duals
- Linear complementary dual codes over rings
- LCD codes over finite chain rings
- Quantum codes from cyclic codes over the ring \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_r\mathbb{F}_q\)
- \(\mathbb{F}_qR\)-linear skew constacyclic codes and their application of constructing quantum codes
- Constructions of quantum MDS codes
- Quantum codes from Hermitian dual-containing constacyclic codes over \(\mathbb{F}_{q^2} + v\mathbb{F}_{q^2}\)
- On Quantum Codes Obtained From Cyclic Codes Over F_2+vF_2+v^2F_2
- Application of Constacyclic Codes to Quantum MDS Codes
- QUATERNARY CONSTRUCTION OF QUANTUM CODES FROM CYCLIC CODES OVER $\mathbb{F}_4 + u\mathbb{F}_4$
- A Note on the Dual Codes of Module Skew Codes
- Nonbinary Stabilizer Codes Over Finite Fields
- On Quantum and Classical BCH Codes
- QUANTUM CODES FROM CYCLIC CODES OVER FINITE RING
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Quantum twisted codes
- Nonbinary quantum codes
- Nonbinary quantum stabilizer codes
- Quantum codes from (1 − 2v)-constacyclic codes over the ring 𝔽q + u𝔽q + v𝔽q + uv𝔽q
- ON OPTIMAL QUANTUM CODES
- Quantum error correction via codes over GF(4)
- Quantum codes of minimum distance two
- Skew quasi cyclic codes over 𝔽q + v𝔽q
- New quantum codes from skew constacyclic codes
