From 91c45d7ac7bb0b331f894b3b827b5d2ac0a0e151 Mon Sep 17 00:00:00 2001 From: Martin Mares <mj@ucw.cz> Date: Wed, 22 Jan 2020 16:53:32 +0100 Subject: [PATCH] Hashing: Fixed a typo in analysis of linear families --- 06-hash/hash.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/06-hash/hash.tex b/06-hash/hash.tex index 54efa11..ac786df 100644 --- a/06-hash/hash.tex +++ b/06-hash/hash.tex @@ -199,7 +199,7 @@ Now, we turn back to the original linear family~$\cal L$. \proof We fix $x,y\in [p]$ distinct and $i,j\in [p]$. To verify $(2,4)$-independence, -we need to prove that $\Pr[h_{a,b}(x) = i \land h_{a,b}(x) = j] \le 4/m^2$ for a~random +we need to prove that $\Pr[h_{a,b}(x) = i \land h_{a,b}(y) = j] \le 4/m^2$ for a~random choice of parameters $(a,b)$. As in the proof of universality of~$\cal L$, we consider the bijection between -- GitLab