Partially Homomorphic Encryption Schemes over Finite Fields
Partially Homomorphic Encryption Schemes over Finite Fields
复制标题
有限域上的部分同态加密方案
作者：
Jian Liu;Sihem Mesnager;Lusheng Chen
同态加密方案实现了加密域中的计算，由于其广泛的应用范围和不断扩大的应用范围，这一点非常重要。已知的完全(或部分)同态加密方案的主要问题是执行它们所需的高计算复杂性和大的通信成本。在这项工作中，我们研究了有限域上的对称部分同态加密方案，建立了有限域上与q元函数的同态之间的关系。我们提出的部分同态加密方案具有完全保密性，并在一定程度上抵抗了纯密码攻击。
Homomorphic encryption scheme enables computation in the encrypted domain, which is of great importance because of its wide and growing range of applications. The main issue with the known fully (or partially) homomorphic encryption schemes is the high computational complexity and large communication cost required for their execution. In this work, we study symmetric partially homomorphic encryption schemes over finite fields, establishing relationships between homomorphisms over finite fields with q-ary functions. Our proposed partially homomorphic encryption schemes have perfect secrecy and resist cipher-only attacks to some extent.