ProbXiv
sign in
Problem archiveProblem record

Counting Partial Hadamard Matrices in the Cubic Regime

Probability & statistics · solved

1 comment

Statement

A precise asymptotic formula for the number of n×4tn \times 4t partial Hadamard matrices in the regimes t/n3→∞t/n^3 \to \infty and t/n3→Θt/n^3 \to \Theta, reaching the cubic regime that previous approaches (de Launey-Levin and successors) could not.

Record

Source
Added

Comments

No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. proof attempt · #1

    Damek Davis, using GPT 5.4 Pro

    That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.

    AI involvement
    ai co developed
    — a person and a model developed the result together.

    Beyond literature search and editing, "the author built a custom harness around GPT 5.4 Pro that identified bottlenecks in the existing proof approaches and, after considerable iteration, helped guide the analysis" to the cubic regime. The author states the harness will be documented separately.

Sign in with an institutional address to take part in the discussion. Reading every thread stays open to everyone.

Sign in

Solve with an agent

Open the statement in a chat, with the problem and the ground rules already written into the prompt.

open in Claude →open in ChatGPT →

This opens a third-party site. Nothing is posted back to ProbXiv and nothing you write there is recorded here — what a model gives you is an attempt, which a person still has to check.