Quantum Information Processing

Optimal constructions of quantum and synchronizable codes from repeated-root cyclic codes of length $$3p^s$$

Hai Quang Dinh, Bac Trong Nguyen, M. Paravee, Hiep L. Thi, Thang M. Vo

Published Jun 24, 2023• 4 citations

Publisher

DOI: 10.1007/s11128-023-03958-7

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Quantum Information Processing

Optimal constructions of quantum and synchronizable codes from repeated-root cyclic codes of length $3p^s$ Optimal constructions of quantum and synchronizable codes from repeated-root cyclic codes of length $$3p^s$$

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Optimal constructions of quantum and synchronizable codes from repeated-root cyclic codes of length

3p^s

New quantum codes and entanglement-assisted quantum codes from repeated-root cyclic codes of length

2^rp^s

Quantum Codes from Repeated-Root Cyclic and Negacyclic Codes of Length 4ps Over

\mathbb {F}_{p^{m}}

Non-binary quantum synchronizable codes based on cyclic codes over

\textrm{F}_q

Quantum MDS and synchronizable codes from cyclic codes of length

5p^s

over

\mathbb F_{p^m}

Quantum MDS and synchronizable codes from cyclic and negacyclic codes of length

4p^s

over

{\mathbb {F}}_{p^m}