New quantum codes from constacyclic codes over a non-chain ring
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Publication:2687097
DOI10.1007/s11128-020-02977-yOpenAlexW3126670199MaRDI QIDQ2687097
Om Prakash, Patrick Solé, Najat Mohammad Muthana, Habibul Islam, Adel N. Alahmadi, Rola A. Hijazi, Ahmad N. Al-Kenani
Publication date: 1 March 2023
Published in: Quantum Information Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11128-020-02977-y
Linear codes (general theory) (94B05) Other types of codes (94B60) Cyclic codes (94B15) Decoding (94B35) Quantum coding (general) (81P70)
Related Items (8)
Construction of LCD and new quantum codes from cyclic codes over a finite non-chain ring ⋮ Quantum codes from codes over the ring \(R_q\) ⋮ New quantum codes from skew constacyclic codes ⋮ New quantum codes from skew constacyclic codes over a class of non-chain rings \(R_{e, q}\) ⋮ A family of constacyclic codes over a class of non-chain rings \({\mathcal{A}}_{q,r}\) and new quantum codes ⋮ Quantum codes from constacyclic codes over a semi-local ring ⋮ Good rate QECCs from the quantum construction \(X\) ⋮ \((f, \sigma, \delta)\)-skew polycyclic codes and their applications to quantum codes
Uses Software
Cites Work
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- New \(q\)-ary quantum MDS codes with distances bigger than \(\frac{q}{2}\)
- Quantum codes from cyclic codes over \(F_q+uF_q+vF_q+uvF_q\)
- Constructions of new families of nonbinary CSS codes
- \(u\)-constacyclic codes over \(\mathbb F_p+u\mathbb F_p\) and their applications of constructing new non-binary quantum codes
- 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 obtained from constacyclic codes
- 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 quantum codes from constacyclic codes over the ring \(R_{k,m}\)
- 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 \(\mathbb {F}_{p}[u,v,w/\langle u^{2}-1,v^{2}-1,w^{2}-1,uv-vu,vw-wv,Wu-uw\rangle \)]
- Quantum codes from cyclic codes over the ring \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_r\mathbb{F}_q\)
- Quantum codes from codes over the ring \(\mathbb{F}_q + \alpha\mathbb{F}_q\)
- 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
- ON QUANTUM CODES FROM CYCLIC CODES OVER A CLASS OF NONCHAIN RINGS
- Application of Constacyclic Codes to Quantum MDS Codes
- Constacyclic Codes and Some New Quantum MDS Codes
- 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
- Quantum Codes from the Cyclic Codes Over $$\mathbb {F}_{p}[v,w/\langle v^{2}-1,w^{2}-1,vw-wv\rangle $$]
- 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)
- ON THE CYCLIC DNA CODES OVER THE FINITE RING
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