On quantum and LCD codes from the cyclic codes over the ring \(\mathbb{F}_q [u, v, w]/\langle u^3-u, v^2-v, w^2-w, uv, vu, uw, wu, vw-wv \rangle\)
From MaRDI portal
Publication:6584709
DOI10.1007/s12190-024-02002-wMaRDI QIDQ6584709
Pradeep K. Rai, Bhupendra Kumar Singh, A. J. Gupta
Publication date: 8 August 2024
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Linear codes (general theory) (94B05) Other types of codes (94B60) Cyclic codes (94B15) Decoding (94B35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Complementary dual codes for counter-measures to side-channel attacks
- Construction of quantum codes from cyclic codes over \(\mathbb F_p + v\mathbb F_p\)
- Quantum codes from cyclic codes over \(F_q+uF_q+vF_q+uvF_q\)
- On complementary-dual quasi-cyclic codes
- Linear codes with complementary duals
- The condition for a cyclic code to have a complementary dual
- The combinatorics of LCD codes: linear programming bound and orthogonal matrices
- Constructions of optimal LCD codes over large finite fields
- Some bounds on binary LCD codes
- Quantum codes over \(F_{p}\) from cyclic codes over \(F_{p}[u, v/\langle u^2 - 1\), \(v^3 - v, uv - vu\rangle\)]
- Euclidean and Hermitian LCD MDS codes
- Linear codes with complementary duals meet the Gilbert-Varshamov bound
- LCD codes from tridiagonal Toeplitz matrices
- On quantum and LCD codes over the ring \(F_q+vF_q+v^2F_q\)
- Construction of LCD and new quantum codes from cyclic codes over a finite non-chain ring
- On self-dual and LCD double circulant and double negacirculant codes over \(\mathbb{F}_q+u\mathbb{F}_q \)
- Do non-free LCD codes over finite commutative Frobenius rings exist?
- New quantum and LCD codes over the finite field of odd characteristic
- \(\sigma\)-LCD codes over finite chain rings
- On self-dual and LCD quasi-twisted codes of index two over a special chain ring
- 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 \(\mathbb {F}_{p}[u,v,w/\langle u^{2}-1,v^{2}-1,w^{2}-1,uv-vu,vw-wv,Wu-uw\rangle \)]
- LCD codes over finite chain rings
- Some results on linear codes over \(\mathbb {F}_p+u\mathbb {F}_p+u^2\mathbb {F}_p\)
- Double circulant LCD codes over \(\mathbb{Z}_4\)
- Quantum codes from cyclic codes over the ring \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_r\mathbb{F}_q\)
- LCD and ACD codes over a noncommutative non-unital ring with four elements
- 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 $\mathbb{F}_4 + u\mathbb{F}_4$
- Quantum Codes from the Cyclic Codes Over $$\mathbb {F}_{p}[v,w/\langle v^{2}-1,w^{2}-1,vw-wv\rangle $$]
- ON LCD CODES OVER FINITE CHAIN RINGS
- QUANTUM CODES FROM CYCLIC CODES OVER FINITE RING
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Quantum twisted codes
- On $\sigma$ -LCD Codes
- ON OPTIMAL QUANTUM CODES
- Quantum error correction via codes over GF(4)
- Cyclic self-dual codes
- Concise Encyclopedia of Coding Theory
- Quantum codes from cyclic codes over F3 + vF3
- Quantum codes from cyclic codes over the ring Fp[u/〈u3 − u〉]
- Some Results on Cyclic Codes Over ${F}_{2}+v{F}_{2}$
- LCD Cyclic Codes Over Finite Fields
- Reversible codes
- New quantum and lcd codes from cyclic codes over a finite non-chain ring
- New quantum codes from skew constacyclic codes
- Simple quantum error-correcting codes
This page was built for publication: On quantum and LCD codes from the cyclic codes over the ring \(\mathbb{F}_q [u, v, w]/\langle u^3-u, v^2-v, w^2-w, uv, vu, uw, wu, vw-wv \rangle\)