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Montgomery residue product: radix cancellation quotient · case 02
The exact montgomery residue product result violates the stated contract at radix cancellation quotient.
Case contract
Input [a,b,m,R], odd modulus m<R and R power of2, 0<=a,b<m; return a*b*R^-1 modulo m using Montgomery reduction.
Why this case matters
Exact discrete arithmetic with observable algorithmic state; no floating point approximation is used.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| explicit oracle 0 | -1 | 1 | Failed |
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