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This repository contains code verifying numerical claims in the papers arXiv:2407.12674 and arXiv:2602.20462.

The code produces provably correct bounds using interval/ball arithmetic relying on FLINT/Arb.

Installation

  1. Install a Python 3 distribution (at least 3.9).

  2. Install the latest version of python-flint (at least 0.7.0).

     pip install python-flint
    
  3. Install Git.

  4. Clone this repository:

     git clone https://github.com/roos-j/dir24-isoperim.git
    

Usage

To verify all computer-assisted claims in the papers use

python run.py

To save partition data to file use

python run.py --filename partitions.py

To view all command line options run

python run.py -h

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Verification code for two papers on sharp isoperimetric inequalities on the Hamming cube.

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