Definition of XOR-Universal hash functions by Abidin[1]: A class $H$ of hash functions from $M$ to $T$ is XOR-Universal$_2$ ($XU_2$) if there exist at most $|H|/|T|$ hash functions $h$ $\in$ $H$ such that $(h(m_1) = h(m_2$) $\oplus t)$ for any two distinct $m_1$, $m_2$ $\in$ $M$ and any $t \in T...