Enlargement of Calderbank Shor Steane quantum codes
Andrew M. Steane
Abstract
It is shown that a classical error correcting code C = [n,k,d] which contains its dual, C ⊂eq 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 generalisation 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.
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