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On the Construction of Nonbinary Quantum BCH Codes
Four quantum code constructions generating several new families of good
nonbinary quantum nonprimitive non-narrow-sense Bose-Chaudhuri-Hocquenghem
(BCH) codes are presented in this paper. The first two ones are based on
Calderbank-Shor-Steane (CSS) construction derived from two nonprimitive BCH
codes, not necessarily self-orthogonal. The third one is based on nonbinary
Steane's enlargement of CSS codes applied to suitable sub-families of
nonprimitive non-narrow-sense BCH codes. The fourth construction is derived
from suitable sub-families of Hermitian self-orthogonal nonprimitive
non-narrow-sense BCH codes. These constructions generate new families of
quantum BCH codes whose parameters are better than the ones available in the
literature