Derives closed-form MacWilliams matrix for permutation-invariant qudit codes as Racah polynomials with parameters set by block length and dimension.
Delsarte,An Algebraic Approach to the Association Schemes of Coding Theory
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2026 2representative citing papers
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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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.