Introduces a q-analogue of the rational normal curve to give a geometric characterization of linearized Reed-Solomon codes and analyze the Hilbert function of the associated coordinate ring.
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3 Pith papers cite this work. Polarity classification is still indexing.
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2026 3verdicts
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Decoded quantum interferometry is generalized to translation association schemes, reducing analysis to tridiagonal eigenvalue problems, with a finite-field matrix rank-difference protocol that produces constant-probability residual-rank bounds but no additive optimality guarantee.
Generalizes Delsarte bounds to multivariate Q-polynomial association schemes, deriving upper bounds on codes and designs characterized via Wilson polynomials, plus Lloyd-type conditions and applications to Lee distance and orthogonal arrays.
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A $q$-analogue of the rational normal curve and linearized Reed-Solomon codes
Introduces a q-analogue of the rational normal curve to give a geometric characterization of linearized Reed-Solomon codes and analyze the Hilbert function of the associated coordinate ring.