Phys. Rev. A 80, 042331 (2009) [11 pages]Constructions of new families of nonbinary quantum codesReceived 16 July 2009; published 28 October 2009 Three code constructions generating new families of good nonbinary quantum codes are presented in this paper. The first two ones are derived from Hermitian self-orthogonal non-narrow-sense Bose-Chaudhuri-Hocquenghem (BCH) codes. The third one is derived from q-ary (q≠2 is a prime power) Steane’s enlargement of Calderbank-Shor-Steane codes applied to Euclidean self-orthogonal non-narrow-sense BCH codes. The quantum nonbinary BCH codes presented here have parameters better than the ones available in the literature. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.042331
DOI:
10.1103/PhysRevA.80.042331
PACS:
03.67.Pp
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