Concept
Extracting an ordinary mode coefficient from affine factors
For fixed local Boolean port bits, each row factor is a constant plus a sum of scalar coefficients times individual mode variables. Write beta for a tuple of nonnegative exponents and Z^beta for their mode monomial. To extract its coefficient, choose one term from each row factor, multiply their scalar coefficients, and retain the choices whose mode occurrence counts equal beta. Add those products. These are ordinary polynomial coefficients: no factorial or derivative normalization is inserted. A product of zero row factors is one, so its coefficient is one for beta all zero and zero otherwise. Computation occurs in the shared truncated residue ring.
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Updated 2026-11-08
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Math