Derives closed-form MacWilliams matrix for permutation-invariant qudit codes as Racah polynomials with parameters set by block length and dimension.
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3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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quant-ph 3years
2026 3representative citing papers
Intrinsic MacWilliams identities are introduced for quantum codes in group representations, yielding linear programming bounds on permutation-invariant qubit and qudit codes.
A Hermitian-orthogonality construction yields quantum Gabidulin codes that support even-sized stacked memories and double the ratio of minimum rank distance to physical qubits.
citing papers explorer
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Orthogonal Polynomials and the MacWilliams Transform for Permutation-Invariant Qudit Codes
Derives closed-form MacWilliams matrix for permutation-invariant qudit codes as Racah polynomials with parameters set by block length and dimension.
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MacWilliams Identities for Intrinsic Quantum Codes
Intrinsic MacWilliams identities are introduced for quantum codes in group representations, yielding linear programming bounds on permutation-invariant qubit and qudit codes.
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Construction of Quantum Rank-Metric Codes Using Hermitian Orthogonality
A Hermitian-orthogonality construction yields quantum Gabidulin codes that support even-sized stacked memories and double the ratio of minimum rank distance to physical qubits.