EIGHT-POINT FIBER CERTIFICATES AND BINARY-INPUT LIST RECOVERY OF FOLDED REED-SOLOMON CODES
Scott Schubr. Prepublication review draft, October 18, 2026.

PREPARATION STATUS
Prepared under Scott's explicit conditional authorization after final proof-coherence and literature reviews retained a credible specialist publication case. This is one paper in the existing frs-nonbinary-active result family. It has not been submitted, published, sent to another chat, or externally refereed.

CONTENTS
manuscript/main.pdf: compiled11-page review manuscript.
manuscript/main.tex and seven included TeX files: self-contained analytic proofs and bibliography.
review/: separate final proof, supporting-result and literature reviews; actual-manuscript audits; correction disposition; validation and page renders.
evidence/: original-source hashes and extracted manuscript text.
literature/: final comparison record.
CHANGE_RECORD.txt: source-to-manuscript mapping and preparation changes.
SHA256_RECEIPT.json: file identities, not a proof of mathematics.

MAIN CONTRIBUTION
Universal all-field eight-point nonnegative rational fiber certificate of cost at most9, sharp for the Boolean3cube. Its standard Wronskian conversion yields average-radius input-two/output-seven FRS list recovery under the exact strict finite inequality. Supporting results cover any three arbitrary replacements of a Boolean4cube and give an affine-rank6 noncube family of exact certificate cost56/3.

ATTRIBUTION AND LIMITS
The full CCSZ2025 manuscript remains unavailable. Its reported zero-error binary-input result is credited through BCDZ; the paper explicitly leaves exact overlap and priority unresolved and disclaims priority over results established there. This disclosure is not novelty clearance. The conjectured curve, cube obstruction, Wronskians, subspace designs and existing algorithms are prior work.
Universal sixteen-point cost56/3 remains open. The sharp family is an auxiliary certificate extremizer, not a realized coding obstruction. No new decoder is claimed.
All theorem proofs are analytic. No fresh replay of the historical5345 diagnostics was performed for preparation. Independent AI audits are not external human review or formal verification. Original source identities were checked unchanged.

NEXT REVIEW
Suitable for specialist mathematical review with explicit priority qualification. Access to CCSZ would enable an exact theorem/lemma comparison. Before any journal submission, the human author should confirm funding, affiliation/contact details if required, and any competing-interests declaration; no unsupported declaration of none was inserted. Venue-specific treatment of unpublished references may differ.

REBUILD
Compile main.tex in its manuscript directory with an AMS-capable LaTeX distribution, or open that folder in Codex's LaTeX editor. Tectonic0.17.0 and the desktop compiler both compiled the final source. See review/FINAL_VALIDATION.json. Preparation grants no submission/publication/outreach authority.
