On quantum codes via cyclic codes of arbitrary length over 𝔽4 + u𝔽4
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Publication:4554563
DOI10.1142/S1793830918500337zbMath1402.94107MaRDI QIDQ4554563
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Publication date: 14 November 2018
Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cyclic codes (94B15) Convolutional codes (94B10) Quantum coding (general) (81P70)
Related Items (3)
New quantum and LCD codes over the finite field of odd characteristic ⋮ Quantum codes from skew constacyclic codes over the ring \(\mathbb{F}_q [u, v \slash \langle u^2 - 1, v^2 - 1, u v - v u \rangle \)] ⋮ On quantum and LCD codes over the ring \(F_q+vF_q+v^2F_q\)
Uses Software
Cites Work
- Cyclic codes over the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
- On Quantum Codes Obtained From Cyclic Codes Over F_2+vF_2+v^2F_2
- QUATERNARY CONSTRUCTION OF QUANTUM CODES FROM CYCLIC CODES OVER $\mathbb{F}_4 + u\mathbb{F}_4$
- QUANTUM CODES FROM CYCLIC CODES OVER FINITE RING
- Enlargement of Calderbank-Shor-Steane quantum codes
- Quantum error correction via codes over GF(4)
- A single quantum cannot be cloned
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