GMW Span-n Attack: Corrected Coverage and a Falsified Run Mechanism

A reproducible computational study falsifies a proposed maximum-run-length mechanism for the span-n property in two genuine single-stage GMW sequences, gives independently checked witnesses and higher-order correlation certificates, and states bounded parameter coverage. It does not resolve Golomb’s conjecture, establish novelty, or cover all ideal-autocorrelation sequences. Author: Liam D. Sparling. ORCID: https://orcid.org/0009-0002-5159-0859. Email: [email protected]. DOI: https://doi.org/10.5281/zenodo.23770877. Copyright 2026 Liam D. Sparling. Report and data: CC BY 4.0; scripts: MIT.