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Cryptography and Communications
Published in: Cryptography and Communications 5/2021

22-06-2021

Quantum synchronizable codes from the Whiteman’s generalized cyclotomy

Authors: Xiaoping Shi, Qin Yue, Xinmei Huang

Published in: Cryptography and Communications | Issue 5/2021

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Abstract

Quantum synchronizable codes (QSCs) are special quantum error-correcting codes that can correct the effects of both quantum noise on qubits and misalignment in block synchronization. In this paper, using the factorizations of cyclotomic polynomials \({{\varPhi }}_{p_{1}p_{2}}(x)\), where p1 and p2 are distinct odd primes, we give a new method to construct QSCs whose synchronization capabilities can reach the best attainable tolerance against misalignment.
previous article A class of linear codes with their complete weight enumerators over finite fields
next article On the fast algebraic immunity of threshold functions

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Appendix
Available only for authorised users
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Metadata
Title
Quantum synchronizable codes from the Whiteman’s generalized cyclotomy
Authors
Xiaoping Shi
Qin Yue
Xinmei Huang
Publication date
22-06-2021
Publisher
Springer US
Published in
Cryptography and Communications / Issue 5/2021
Print ISSN: 1936-2447
Electronic ISSN: 1936-2455
DOI
https://doi.org/10.1007/s12095-021-00501-2

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