Physics – Quantum Physics
Scientific paper
1998-02-24
IEEE Trans.Info.Theor. 45 (1999) 2492-2495
Physics
Quantum Physics
12 pages. Submitted to IEEE Trans. Inf. Theory. Mistake in proof corrected
Scientific paper
It is shown that a classical error correcting code C = [n,k,d] which contains its dual, C^{\perp} \subseteq 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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