\(u\)-constacyclic codes over \(\mathbb F_p+u\mathbb F_p\) and their applications of constructing new non-binary quantum codes
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Publication:1653890
DOI10.1007/s11128-017-1775-8zbMath1395.81096OpenAlexW2770105677MaRDI QIDQ1653890
Publication date: 7 August 2018
Published in: Quantum Information Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11128-017-1775-8
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Cyclic codes (94B15) Quantum coding (general) (81P70)
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Uses Software
Cites Work
- Construction of quantum codes from cyclic codes over \(\mathbb F_p + v\mathbb F_p\)
- Quantum codes from cyclic codes over \(F_q+uF_q+vF_q+uvF_q\)
- The Magma algebra system. I: The user language
- Quantum codes derived from cyclic codes
- Improved constructions for nonbinary quantum BCH codes
- New quantum MDS codes derived from constacyclic codes
- A class of constacyclic BCH codes and new quantum codes
- 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 $\mathbb{F}_4 + u\mathbb{F}_4$
- QUANTUM CODES FROM CYCLIC CODES OVER FINITE RING
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- Quantum codes from cyclic codes over F3 + vF3
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