Instant Parameter Selection for Modular Systems (b, P, T, R)

If you’ve ever had to tune or verify modular parameters — for example in RNG design, PRBS/scrambler alignment, signal sequence generation, or NTT setups — you know how time-consuming it can be to make sure conditions like b^A mod p^t = r

actually behave the way you need across multiple constraints.

Most teams rely on Hensel lifting, search loops, or heuristic checks that can take hours (or days) to verify — and still risk subtle misalignments.

I’ve developed a provably correct, closed-form method that computes the exact modulus gate M instantly, for any given (b, p, t, r) where b= base, p= prime, t= depth, r= residue. It’s not simulation or approximation — it’s a deterministic, math-verified result you can drop directly into a spec or test plan.

If you’d like, email me your constraints (b, p, t, r) or visit my site below. I’ll send back your local and combined M values with full factorization so you can verify or integrate immediately.

Email: cwstevens71@gmail.com Site: https://sites.google.com/view/christopherwstevens

Christopher W. Stevens Independent Researcher (Mathematics) ORCID: https://orcid.org/0009-0005-4161-6615