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Enlargement of Calderbank-Shor-Steane quantum codes

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1 Author(s)
A. M. Steane ; Clarendon Lab., Oxford Univ., UK

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

Published in:

IEEE Transactions on Information Theory  (Volume:45 ,  Issue: 7 )