On a Family of Quantum Synchronizable Codes Based on the <inline-formula> <tex-math notation="LaTeX">$(\lambda(u + v)|u - v)$ </tex-math></inline-formula> Construction

On a Family of Quantum Synchronizable Codes Based on the <inline-formula> <tex-math notation="LaTeX">$(\lambda(u + v)|u - v)$ </tex-math></inline-formula> Construction

In this paper, we propose a family of quantum synchronizable codes from repeated-root cyclic codes and constacyclic codes. This family of quantum synchronizable codes are based on (&#x03BB;(u + v)|u - v) construction which is constructed from constacyclic codes. Under this construction, we enric...

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Bibliographic Details
Main Authors: Chao Du, Zhi Ma, Lan Luo, Dakang Huang, Hong Wang
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Repeated-root constacyclic codes
quantum synchronizable codes
(λ(<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">u</italic> + <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">v</italic>)
<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">u</italic> − <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">v</italic>) construction
Online Access:https://ieeexplore.ieee.org/document/8946569/

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https://ieeexplore.ieee.org/document/8946569/

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