Quantum Information Processing

Quantum MDS and synchronizable codes from cyclic and negacyclic codes of length $$4p^s$$ over $${\mathbb {F}}_{p^m}$$

Hai Quang Dinh, Ha T. Le, Bac Trong Nguyen, Roengchai Tansuchat

Published Nov 1, 2021• 9 citations

Publisher

DOI: 10.1007/s11128-021-03306-7

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Quantum Information Processing

Quantum MDS and synchronizable codes from cyclic and negacyclic codes of length $4p^s$ over ${\mathbb {F}}_{p^m}$ Quantum MDS and synchronizable codes from cyclic and negacyclic codes of length $$4p^s$$ over $${\mathbb {F}}_{p^m}$$

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

4p^s

over

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

Quantum MDS and synchronizable codes from cyclic codes of length

5p^s

over

\mathbb F_{p^m}

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

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

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

3p^s

New quantum codes from negacyclic codes of length

p^s

over

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

Non-binary quantum synchronizable codes based on cyclic codes over

\textrm{F}_q