New optimized Lcd codes and quantum codes using constacyclic codes over a non-local collection of rings \(A_k\)

DOI10.1007/S11128-024-04489-5MaRDI QIDQ6617029

Pooja Soni, Manju Pruthi

Publication date: 9 October 2024

Published in: Quantum Information Processing (Search for Journal in Brave)

zbMATH Keywords

MDS\(\mathcal{C}c\)\(\mathcal{Q}\)SDLcd

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Quantum computation (81P68) Cyclic codes (94B15) Decoding (94B35)

Cites Work

• Title not available (Why is that?)
• A Mathematical Theory of Communication
• The condition for a cyclic code to have a complementary dual
• Quantum codes from codes over the ring \(\mathbb{F}_q + \alpha\mathbb{F}_q\)
• Quantum codes from Hermitian dual-containing constacyclic codes over \(\mathbb{F}_{q^2} + v\mathbb{F}_{q^2}\)
• Quantum codes from cyclic codes over \(\mathbb F_{4} + v\mathbb F_{4}\)
• Nonbinary Stabilizer Codes Over Finite Fields
• Quantum error correction via codes over GF(4)
• New quantum and lcd codes from cyclic codes over a finite non-chain ring

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