Deterministic finite-field factorization backend

Family 142: Deterministic polynomial factorization over prime fields. First review, 8 October 2026.

Problem and potential new use

Computer algebra teams can evaluate deterministic prime-field factorization without the stated randomized or conjectural inputs.

Applicability and commercial boundary

The theorem concerns dense polynomials over prime fields, not integer factorization, and relies on strong companion analytic results.

Initial business decision

Conditional research. Buyer demand and profitability remain hypotheses. This first pass does not establish a validated commercial market.

Next verification action

Audit the dependency chain and construction constants before starting a port.

Evidence scope

Catalog statement reviewed; inspect linked opportunity dossier for any deeper source review. This record alone does not establish full manuscript or proof verification.

Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata for the exact manuscripts and available scope notes.