Quantum Codes from the Cyclic Codes Over $$\mathbb {F}_{p}[v,w]/\langle v^{2}-1,w^{2}-1,vw-wv\rangle $$
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Publication:3299980
DOI10.1007/978-981-15-1157-8_6zbMath1453.81012OpenAlexW3012277922MaRDI QIDQ3299980
Habibul Islam, Ram Krishna Verma, Om Prakash
Publication date: 27 July 2020
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-981-15-1157-8_6
Related Items (11)
On the structure of cyclic codes over \(M_2(\mathbb{F}_{p}+u\mathbb{F}_{p})\) ⋮ Construction of LCD and new quantum codes from cyclic codes over a finite non-chain ring ⋮ New quantum and lcd codes from cyclic codes over a finite non-chain ring ⋮ Cyclic and LCD Codes over a Finite Commutative Semi-local Ring ⋮ New quantum codes from constacyclic and additive constacyclic codes ⋮ New quantum codes from constacyclic codes over a non-chain ring ⋮ New quantum codes from skew constacyclic codes ⋮ New quantum and LCD codes over the finite field of odd characteristic ⋮ New quantum codes from skew constacyclic codes over a class of non-chain rings \(R_{e, q}\) ⋮ New quantum codes from constacyclic codes over the ring \(R_{k,m}\) ⋮ A family of constacyclic codes over a class of non-chain rings \({\mathcal{A}}_{q,r}\) and new quantum codes
Uses Software
Cites Work
- Quantum codes from cyclic codes over \(F_q+uF_q+vF_q+uvF_q\)
- Quantum codes over \(F_{p}\) from cyclic codes over \(F_{p}[u, v/\langle u^2 - 1\), \(v^3 - v, uv - vu\rangle\)]
- 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 codes from the cyclic codes over \(\mathbb {F}_{p}[u,v,w/\langle u^{2}-1,v^{2}-1,w^{2}-1,uv-vu,vw-wv,Wu-uw\rangle \)]
- Quantum codes from cyclic codes over 𝔽q+v𝔽q+v2𝔽q+v3𝔽q
- On Quantum Codes Obtained From Cyclic Codes Over F_2+vF_2+v^2F_2
- QUATERNARY CONSTRUCTION OF QUANTUM CODES FROM CYCLIC CODES OVER $\mathbb{F}_4 + u\mathbb{F}_4$
- On quantum codes obtained from cyclic codes over 𝔽2 + u𝔽2 + u2𝔽2
- Binary Construction of Quantum Codes of Minimum Distance Three and Four
- QUANTUM CODES FROM CYCLIC CODES OVER FINITE RING
- 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)
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