New quantum and lcd codes from cyclic codes over a finite non-chain ring

DOI10.1016/s0034-4877(23)00027-7MaRDI QIDQ6091124

Mohd Azmi, Nadeem ur Rehman, Ghulam Mohammad

Publication date: 24 November 2023

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Hamming distancequantum codesLCD codes

Mathematics Subject Classification ID

Quantum theory (81-XX) Information and communication theory, circuits (94-XX)

Cites Work

• A Mathematical Theory of Communication
• Construction of quantum codes from cyclic codes over \(\mathbb F_p + v\mathbb F_p\)
• Quantum codes from cyclic codes over \(F_q+uF_q+vF_q+uvF_q\)
• Linear codes with complementary duals
• The condition for a cyclic code to have a complementary dual
• Quantum codes over \(F_{p}\) from cyclic codes over \(F_{p}[u, v/\langle u^2 - 1\), \(v^3 - v, uv - vu\rangle\)]
• Construction of LCD and new quantum codes from cyclic codes over a finite non-chain ring
• \(\sigma\)-LCD codes over finite chain rings
• New non-binary quantum codes from constacyclic codes over \( \mathbb{F}_q[u,v/\langle u^{2}-1, v^{2}-v, uv-vu\rangle \)]
• Quantum codes from the cyclic codes over \(\mathbb {F}_{p}[u,v,w/\langle u^{2}-1,v^{2}-1,w^{2}-1,uv-vu,vw-wv,Wu-uw\rangle \)]
• LCD codes over finite chain rings
• QUATERNARY CONSTRUCTION OF QUANTUM CODES FROM CYCLIC CODES OVER $\mathbb{F}_4 + u\mathbb{F}_4$
• Quantum Codes from the Cyclic Codes Over $$\mathbb {F}_{p}[v,w/\langle v^{2}-1,w^{2}-1,vw-wv\rangle $$]
• QUANTUM CODES FROM CYCLIC CODES OVER FINITE RING
• ON OPTIMAL QUANTUM CODES
• Quantum error correction via codes over GF(4)
• Quantum codes from cyclic codes over F₃ + vF₃
• Reversible codes

This page was built for publication: New quantum and lcd codes from cyclic codes over a finite non-chain ring