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Binary field inversion: second polynomial Bezout seed · case 05

The exact binary field inversion result violates the stated contract at second polynomial Bezout seed.

Member previewVariant 5 · 3 implementations · 8 checks per implementation

Case contract

Input [a,irreducible bitmask], a nonzero with degree below modulus; return multiplicative inverse in binary field. Bounds: modulus degree is between two and six.

Why this case matters

Exact discrete arithmetic with observable algorithmic state; no floating point approximation is used.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
explicit oracle 0	`4`	`7`	Failed

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