Generalized extended codes are shown to be monomially equivalent to certain Hermitian duals, with explicit criteria for controlling Hermitian hull dimension and dual distance, yielding 267 new EA qubit codes and 14 new EA qutrit codes with improved parameters.
Error correcting codes in quantum theory,
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An ILP method yields new triorthogonal codes with prescribed dual distance not necessarily from triply-even classical codes, and a GRAND-based decoder performs well on high-distance instances over dephasing.
citing papers explorer
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Generalized Extended Codes with Applications in Entanglement-Assisted Qubit and Qutrit Codes
Generalized extended codes are shown to be monomially equivalent to certain Hermitian duals, with explicit criteria for controlling Hermitian hull dimension and dual distance, yielding 267 new EA qubit codes and 14 new EA qutrit codes with improved parameters.
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On Constructing and Decoding Quantum Triorthogonal Codes
An ILP method yields new triorthogonal codes with prescribed dual distance not necessarily from triply-even classical codes, and a GRAND-based decoder performs well on high-distance instances over dephasing.