Add linear and affine equivalence between two SBoxes#5
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Added linear and affine equivalence between two SBoxes (
-eqflag).linear_equivalence(other)finds invertible matricesaffine_equivalence(other)adds the offsetsNoneif no such matrices exist.This feature is useful when dealing with obfuscated SBoxes that we suspect to be a disguised version of a known one. For example an SBox extracted from a binary that looks random but might secretly be a standard SBox wrapped in extra linear layers.
Also added a showcase pair in examples:$GF(2^4)$ inverse) and
gf16_inv(themystery, an affine disguise of it. Without the tool, the two look unrelated; with-eq, the hidden structure is recovered.❯ python main.py -eq -in examples/gf16_inv examples/mystery examples/gf16_inv vs examples/mystery Affine equivalent! S(x) = B·T(A·x ⊕ a) ⊕ b, with A, a, B, b: 1 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 1 1