Supplementary data and validation code for: An explicit stabilizer code from E8 x E8 exceptional root data

This archive contains the machine-readable supplementary material for the paper An explicit stabilizer code from E₈ × E₈ exceptional root data by Ali Rubaidi, submitted to Journal of Physics A: Mathematical and Theoretical.

Contents:

• e8_qec_code.py — Complete [[496, 240]] stabilizer code construction from E₈×E₈ root data, including binary symplectic check matrix, commutation verification, rank computation, and dressed distance analysis.
• e8_root_system.py — E₈ root system construction (240 roots: 112 Type I + 128 Type II), Cartan matrix, and lattice properties.
• fast_distance_search.py — Optimized exhaustive weight-2 dressed distance search using syndrome precomputation and GF(2) row-reduction.
• run_all_tests.py — Full validation suite (22 tests across 5 suites) reproducing all claims in the paper.
• e8_inflation.py, e8_cmb.py, e8_emergence.py — Companion physics modules.
• README.md — Usage instructions and verification protocol.
• requirements.txt — Python dependencies (NumPy, SciPy).

Key verifiable claims:

1. 256 stabilizer generators on 496 qubits; pairwise commutation (HΩH^T = 0)
2. Binary rank 256 giving k = 240 encoded qubits
3. 16 weight-1 Cartan logical Z operators (d_min = 1)
4. No weight-1 logicals on 480 root qubits
5. Exactly 240 weight-2 Z_αZ_−α logicals on opposite-root pairs (d_dressed = 2)