EAQECCs derived from constacyclic codes over finite non-chain rings (Q6671084)

scientific article; zbMATH DE number 7974615

Language	Label	Description	Also known as
English	EAQECCs derived from constacyclic codes over finite non-chain rings	scientific article; zbMATH DE number 7974615

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instance of

scholarly article

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title

EAQECCs derived from constacyclic codes over finite non-chain rings (English)

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Quantum Information Processing

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publication date

24 January 2025

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zbMATH Keywords

constacyclic codes

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EAQECCs

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gray map

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finite non-chain rings

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MaRDI profile type

Publication

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cites work

New constructions of entanglement-assisted quantum codes

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

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Construction of quantum codes from cyclic codes over \(\mathbb F_p + v\mathbb F_p\)

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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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Correcting Quantum Errors with Entanglement

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On the \(\ell\)-DLIPs of codes over finite commutative rings

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Quantum error correction via codes over GF(4)

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MDS Codes With Galois Hulls of Arbitrary Dimensions and the Related Entanglement-Assisted Quantum Error Correction

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Application of Constacyclic Codes to Quantum MDS Codes

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New MDS entanglement-assisted quantum codes from MDS Hermitian self-orthogonal codes

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A new family of EAQMDS codes constructed from constacyclic codes

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A study of quantum codes obtained from cyclic codes over a non-chain ring

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Quantum codes from cyclic codes over \(\mathbb{F}_q+v\mathbb{F}_q+v^2\mathbb{F}_q+v^3\mathbb{F}_q\)

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Quantum codes from codes over the ring \(R_q\)

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Entropic Proofs of Singleton Bounds for Quantum Error-Correcting Codes

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Constructions of good entanglement-assisted quantum error correcting codes

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Some construction of entanglement-assisted quantum MDS codes

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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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New MDS EAQECCs derived from constacyclic codes over \(\mathbb{F}_{q^2} + v \mathbb{F}_{q^2}\)

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

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New constructions of quantum MDS codes over finite fields

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New Quantum MDS Codes From Negacyclic Codes

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Linear Programming Bounds for Entanglement-Assisted Quantum Error-Correcting Codes by Split Weight Enumerators

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New MDS EAQECCs from constacyclic codes over finite non-chain rings

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New EAQEC codes from cyclic codes over \(\mathbb{F}_q + u\mathbb{F}_q\)

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Entanglement-assisted quantum codes from matrix-product codes

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New entanglement-assisted quantum codes from \(k\)-Galois dual codes

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A class of constacyclic BCH codes and new quantum codes

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Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance

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MDS Codes With Hulls of Arbitrary Dimensions and Their Quantum Error Correction

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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 and LCD codes from skew constacyclic codes over a finite non-chain ring

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QUANTUM CODES FROM CYCLIC CODES OVER FINITE RING

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Construction of new quantum codes derived from constacyclic codes over \(\mathbb{F}_{q^2}+u\mathbb{F}_{q^2}+\cdots +u^{r-1}\mathbb{F}_{q^2}\)

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Linear codes with arbitrary dimensional hull and their applications to EAQECCs

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New quantum codes from dual-containing cyclic codes over finite rings

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Application of GRS codes to some entanglement-assisted quantum MDS codes

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Entanglement-assisted quantum codes from cyclic codes and negacyclic codes

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Hermitian dual-containing narrow-sense constacyclic BCH codes and quantum codes

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Some new families of entanglement-assisted quantum MDS codes derived from negacyclic codes

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Hermitian dual-containing constacyclic codes over \(\mathbb{F}_{q^2}+v_1 \mathbb{F}_{q^2}+\cdots +v_r \mathbb{F}_{q^2}\) and new quantum codes

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Hermitian LCD codes over \(\mathbb{F}_{q^2}+u \mathbb{F}_{q^2}\) and their applications to maximal entanglement EAQECCs

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New quantum codes derived from group rings

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QEC and EAQEC codes from cyclic codes over non-chain rings

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Maximal entanglement EAQECCs from cyclic and constacyclic codes over \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_{s-1}\mathbb{F}_q\)

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Identifiers

Mathematics Subject Classification ID

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10.1007/S11128-024-04606-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:6671084