Two Families of Quantum Codes Derived from Cyclic Codes

Published 13 Nov 2007 in cs.IT and math.IT | (0711.2050v1)

Abstract: We characterize the affine-invariant maximal extended cyclic codes. Then by the CSS construction, we derive from these codes a family of pure quantum codes. Also for ordnq even, a new family of degenerate quantum stabilizer codes is derived from the classical duadic codes. This answer an open problem asked by Aly et al.

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