论文标题
量子后忽略的转移从具有灰色区域的光滑投射哈希功能转移
Post-Quantum Oblivious Transfer from Smooth Projective Hash Functions with Grey Zone
论文作者
论文摘要
遗忘转移（OT）是安全多方计算的主要原始性。实际上，结合对称原语以及乱码电路，它允许两方之间的任何安全功能评估。在本文中，我们提出了一种构建OT协议的新方法。有趣的是，我们的新范式具有通用合并性（UC）框架中的安全分析，并且可以通过后量子的原语实例化。为此，我们定义了一个名为“平滑射击”功能的新的原始性，它具有灰色区域（SPHFWGZ），可以看作是经典光滑的射击射击功能的放松，并带有一个无法声称正确性和平滑性的单词的子集：灰色区域。作为具体应用，我们根据Diffie-Hellman和错误（LWE）问题分别提供SPHFWGZ的两个实例化。因此，我们在随机Oracle模型中提出了具有UC-安全性的量子抗性OT协议。
Oblivious Transfer (OT) is a major primitive for secure multiparty computation. Indeed, combined with symmetric primitives along with garbled circuits, it allows any secure function evaluation between two parties. In this paper, we propose a new approach to build OT protocols. Interestingly, our new paradigm features a security analysis in the Universal Composability (UC) framework and may be instantiated from post-quantum primitives. In order to do so, we define a new primitive named Smooth Projective Hash Function with Grey Zone (SPHFwGZ) which can be seen as a relaxation of the classical Smooth Projective Hash Functions, with a subset of the words for which one cannot claim correctness nor smoothness: the grey zone. As a concrete application, we provide two instantiations of SPHFwGZ respectively based on the Diffie-Hellman and the Learning With Errors (LWE) problems. Hence, we propose a quantum-resistant OT protocol with UC-security in the random oracle model.
