FA-15639 / Numerics / Member archive
Binary polynomial division: quotient remainder result positions · case 04
The exact binary polynomial division result violates the stated contract at quotient remainder result positions.
Case contract
Input [a,b] integer bitmasks for F2 polynomials with b>0; return [quotient,remainder] of carryless division. Bounds: a,b<2^32.
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, 0] | [0, 1] | Failed |
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