The Covering Number C(17, 11, 4): Structural Reductions and Exact Integer Certificates

English and Japanese V19H manuscripts by Yushi Miyashiro presenting a computer-assisted argument for C(17, 11, 4)=15 through structural reductions, exact integer certificates and finite verification contracts. This unreviewed preprint distinguishes mathematical reductions from the computational evidence and its reproducibility obligations. V19H corrects the provenance description of an archived high-capacity verification log without changing the mathematical source outside that paragraph. Full unconditional Lean verification and independent specialist peer review remain incomplete. The companion evidence and computational supplement use the DOI 10.5281/zenodo.23691828. Research enquiries and corrections: [email protected]

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-01
DOI
https://doi.org/10.5281/zenodo.23695203
Primary Topic
Advanced Combinatorial Mathematics
Type
preprint
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preprint

The Covering Number C(17, 11, 4): Structural Reductions and Exact Integer Certificates

Yushi Miyashiro
1 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Combinatorial Mathematics
preprint

The Covering Number C(17, 11, 4): Structural Reductions and Exact Integer Certificates

Yushi Miyashiro
preprint en

Abstract

English and Japanese V19H manuscripts by Yushi Miyashiro presenting a computer-assisted argument for C(17, 11, 4)=15 through structural reductions, exact integer certificates and finite verification contracts. This unreviewed preprint distinguishes mathematical reductions from the computational evidence and its reproducibility obligations. V19H corrects the provenance description of an archived high-capacity verification log without changing the mathematical source outside that paragraph. Full unconditional Lean verification and independent specialist peer review remain incomplete. The companion evidence and computational supplement use the DOI 10.5281/zenodo.23691828. Research enquiries and corrections: [email protected]

Zenodo (CERN European Organization for Nuclear Research)
Advanced Combinatorial Mathematics
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