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New quantum codes from constacyclic codes over a non-chain ring - MaRDI portal

New quantum codes from constacyclic codes over a non-chain ring (Q2687097)

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Language	Label	Description	Also known as
English	New quantum codes from constacyclic codes over a non-chain ring	scientific article

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scholarly article

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New quantum codes from constacyclic codes over a non-chain ring (English)

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Najat Mohammad Muthana

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Adel N. Alahmadi

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Ahmad N. Al-Kenani

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Quantum Information Processing

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publication date

1 March 2023

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zbMATH Keywords

constacyclic code

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quantum code

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self-orthogonal code

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gray map

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11128-020-02977-y

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Quantum codes from cyclic codes over \(F_q+uF_q+vF_q+uvF_q\)

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Quantum codes over \(F_{p}\) from cyclic codes over \(F_{p}[u, v]/\langle u^2 - 1\), \(v^3 - v, uv - vu\rangle\)

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Quantum error correction via codes over GF(4)

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ON THE CYCLIC DNA CODES OVER THE FINITE RING

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Application of Constacyclic Codes to Quantum MDS Codes

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On Quantum Codes Obtained From Cyclic Codes Over F_2+vF_2+v^2F_2

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Quantum codes from cyclic codes over 𝔽q+v𝔽q+v2𝔽q+v3𝔽q

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\(u\)-constacyclic codes over \(\mathbb F_p+u\mathbb F_p\) and their applications of constructing new non-binary quantum codes

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Quantum codes from cyclic codes over the ring \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_r\mathbb{F}_q\)

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Constructions of new families of nonbinary CSS codes

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ON OPTIMAL QUANTUM CODES

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Quantum codes from codes over the ring \(\mathbb{F}_q + \alpha\mathbb{F}_q\)

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New \(q\)-ary quantum MDS codes with distances bigger than \(\frac{q}{2}\)

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Quantum codes from the cyclic codes over \(\mathbb {F}_{p}[u,v,w]/\langle u^{2}-1,v^{2}-1,w^{2}-1,uv-vu,vw-wv,Wu-uw\rangle \)

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Quantum codes obtained from constacyclic codes

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New quantum codes from constacyclic codes over the ring \(R_{k,m}\)

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A family of constacyclic codes over \(\mathbb{F}_{ p^m} [\upsilon, w]/\langle \upsilon^2 - 1, w^2 - 1, \upsilon w - w \upsilon \rangle \)

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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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QUATERNARY CONSTRUCTION OF QUANTUM CODES FROM CYCLIC CODES OVER $\mathbb{F}_4 + u\mathbb{F}_4$

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Constacyclic Codes and Some New Quantum MDS Codes

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Binary Construction of Quantum Codes of Minimum Distance Three and Four

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Quantum codes from (1 − 2v)-constacyclic codes over the ring 𝔽q + u𝔽q + v𝔽q + uv𝔽q

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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

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New non-binary quantum codes from constacyclic codes over \( \mathbb{F}_q[u,v]/\langle u^{2}-1, v^{2}-v, uv-vu\rangle \)

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QUANTUM CODES FROM CYCLIC CODES OVER FINITE RING

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ON QUANTUM CODES FROM CYCLIC CODES OVER A CLASS OF NONCHAIN RINGS

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On quantum codes obtained from cyclic codes over 𝔽2 + u𝔽2 + u2𝔽2

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Identifiers

10.1007/s11128-020-02977-y

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2687097

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