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Theorem, construction, or exact resource formula

MMR-087

A square BCLR degeneration from three cyclic factors

Exact statement

The cyclic tensor product of the 322322, 223223, and 232232 curves is a length-1000 degeneration of M⟨12,12,12⟩M_{\langle12,12,12\rangle} with (q,D,e)=(3,6,3)(q,D,e)=(3,6,3).

StatusProved in the FPRD research record
External reviewNo documented external or specialist review of the FPRD synthesis is recorded.

Context

This result belongs to the reconstruction from algebraic matrix-multiplication certificates to explicit arithmetic dependency DAGs and their resource receipts.

Hypotheses and scope

  • All resource conclusions are restricted to the arithmetic, storage, fan-out, coefficient, and precision models named in the source record.

Proof or evidence

Theorem R10.2; matrix-tensor dimensions multiply coordinatewise and polynomial lengths/orders/degrees multiply/add. Classical construction.

Mathematical overview and evidence boundary →

Verification notes

The analytic argument is preserved in the research record. Independent external review is not recorded.

Limitations

  • The record does not improve the known matrix-multiplication exponent and does not imply that omega equals two.
  • Construction bounds are not optimality, communication, I/O, or hardware claims unless the exact statement says so.

Open work

Independently re-audit the complete derivation before any further promotion.