Algebraic properties of the maps [Formula: see text]
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The Boolean map χ n : F 2 n → F 2 n , x ↦ y defined by y i = x i + ( x i + 1 + 1 ) x i + 2 (where i ∈ Z / n Z ) is used in various permutations that are part of cryptographic schemes, e.g., Keccak-f (the SHA-3-permutation), ASCO... ...
