probability-statistics / Random matrices; enumeration

Counting Partial Hadamard Matrices in the Cubic Regime

A precise asymptotic formula for the number of $n \times 4t$ partial Hadamard matrices in the regimes $t/n^3 \to \infty$ and $t/n^3 \to \Theta$, reaching the cubic regime that previous approaches (de Launey-Levin and successors) could not.

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probability-statisticsMar 31, 2026Significance 12/100Registry: unreviewed

Counting Partial Hadamard Matrices in the Cubic Regime

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A precise asymptotic formula for the number of $n \times 4t$ partial Hadamard matrices in the regimes $t/n^3 \to \infty$ and $t/n^3 \to \Theta$, reaching the cubic regime that previous approaches (de Launey-Levin and successors) could not.

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A precise asymptotic formula for the number of $n \times 4t$ partial Hadamard matrices in the regimes $t/n^3 \to \infty$ and $t/n^3 \to \Theta$, reaching the cubic regime that previous approaches (de Launey-Levin and successors) could not.

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