Balanced and x-Independent Post Sample Clauses

Balanced and x-Independent Post processing · We consider security of GTrunc in a limited setting where post is independent of its first input x (post( , z) is constant for all z) and where it is balanced (the set post[x]−1(y) is of the same size for all x, y). Already in the original introduction, Xxxx et al. [30] remarked that the analysis of Trunc carries over to balanced post- processing functions, and it also follows immediately from Theorem 1 (with different color sets, but still all of equal size 2n−m as the function is balanced). As a bonus, we present an analysis of this case that reduces the security of GTrunc with balanced and x-independent post to Trunc. Theorem 5 (Security of GTrunc with balanced and x-independent post). Let q, n, m ∈ N such that m ≤ n. Consider GTrunc of (38) with balanced and x-independent post. For any distinguisher Ð, Adv prf GTrunc
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