【摘要】 描述基于高阶余数的加密算法,包括确定性加密算法和随机性加密算法.由于算法的同态性,它能够对加密信息直接进行加、减运算,这种特性可用在某些特殊领域.本文的随机性加密算法,除了能保障语义安全性之外,与其它随机性加密算法相比,膨胀率相对要小.更多还原

【Abstract】 Encryption algorithms based on higher degree residues are present in this paper, which include two versions, one deterministic and the other probabilistic. Since the algorithms have homomorphic properties, i.e., the ability to perform algebraic operations such as additions or subtractions directly on ciphertext, they can be used in several specific applications. Furthermore, the probabilistic version has semantic security whose expansion rate is better than previously proposed such systems.更多还原