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Enlargement of Calderbank-Shor-Steane quantum codes

Abstract:
It is shown that a classical error correcting code C = [n, k, d] which contains its dual, C⊥ ⊆ C, and which can be enlarged to C′ = [n, k′ > k + 1, d′], can be converted into a quantum code of parameters [[n, k+k′ -n, min (d, [3d′/2])]]. This is a generalization of a previous construction, it enables many new codes of good efficiency to be discovered. Examples based on classical Bose-Chaudhuri-Hocquenghem (BCH) codes are discussed. © 1999 IEEE.
Publication status:
Published

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Publisher copy:
10.1109/18.796388

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Atomic and Laser Physics
Journal:
IEEE TRANSACTIONS ON INFORMATION THEORY
Volume:
45
Issue:
7
Pages:
2492-2495
Publication date:
1999-11-05
DOI:
ISSN:
0018-9448
URN:
uuid:5bf1192d-2467-47fa-a820-3a210d093d95
Source identifiers:
15735
Local pid:
pubs:15735
Language:
English
Keywords:

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