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- Title
New EAQEC codes constructed from Galois LCD codes.
- Authors
Liu, Xiusheng; Liu, Hualu; Yu, Long
- Abstract
Entanglement-assisted quantum error-correcting codes (EAQECCs) make use of preexisting entanglement between the sender and receiver to boost the rate of transmission. It is possible to construct an EAQECC from any classical linear code, unlike standard quantum error-correcting codes, which can only be constructed from dual-containing codes. However, the number c of required ebits, which is an important basic parameter of an EAQECC, is usually calculated by computer search. In this paper, we construct four classes of MDS entanglement-assisted quantum error-correcting codes (MDS EAQECCs) based on k-Galois LCD MDS codes for some certain code lengths, where the parameter of ebits c can be easily computed algebraically and not by numerical search. Moreover, the constructed four classes of EAQECCs are also maximal-entanglement EAQECCs.
- Subjects
LINEAR codes; ELECTRONIC information resource searching; CIPHERS; ERROR-correcting codes; PARITY-check matrix; QUANTUM computing
- Publication
Quantum Information Processing, 2020, Vol 19, Issue 1, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-019-2515-z