This article presents the application of homomorphic authenticators, replication encodings to be precise, to multigroup fully homomorphic encryption schemes. Following the works of Gennaro and Wichs on homomorphic authenticators in combination with the work of multigroup schemes by Kwak et al. we present a verifiable solution for a fully homomorphic primitive that includes the multikey, multiparty and single-user cases. Furthermore, we propose a line of prospective research in constrained-resource scenarios.

翻译：本文提出了同态认证器（确切而言是复制编码）在多群全同态加密方案中的应用。结合Gennaro与Wichs关于同态认证器的研究以及Kwak等人关于多群方案的工作，我们提出了一种针对全同态原语的可验证解决方案，该方案涵盖多密钥、多方及单用户场景。此外，我们进一步提出了一条面向资源受限情境的潜在研究方向。