Two Families of Quantum Codes Derived from Cyclic Codes

Computer Science – Information Theory

Scientific paper

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Scientific paper

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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