论文标题
使用$ \ mathrm {sl} _n（\ mathbb {f} _p）$使用$ \ mathrm {sl} _n（_p）$
Post-quantum hash functions using $\mathrm{SL}_n(\mathbb{F}_p)$
论文作者
论文摘要
我们使用较高维度的特殊线性组作为平台来定义蒂利希莫尔哈希函数的新家族。这些组的Cayley图结合了快速的混合特性和高腰围，从而产生了相应的哈希函数的良好的预印象和碰撞性。我们证明，所产生的哈希功能是量词后安全的说法。
We define new families of Tillich-Zémor hash functions, using higher dimensional special linear groups over finite fields as platforms. The Cayley graphs of these groups combine fast mixing properties and high girth, which together give rise to good preimage and collision resistance of the corresponding hash functions. We justify the claim that the resulting hash functions are post-quantum secure.
