In the data-as-a-service model of cloud computing, data of users is stored on servers in the cloud which provides services such as data storage and management. And this form of data management may reduce data security due to security threats to the cloud servers. The full homomorphic encryption data indexing algorithm (HEDR) can effectively solve the data security in the cloud computing environment, but with the increase of data volume, the retrieval efficiency and the accuracy of retrieval results of HEDR will be seriously affected. In this paper, aiming at solving the problem of HEDR, a root index distance (RID) based on the root index distance is proposed. By encrypting and processing the root index, the depth of the index is reduced in the case of irrelevant data volume. This reduces the impact of noise and improves the accuracy of data encryption index results. Finally, the analysis shows that the complexity of the RID algorithm does not increase, while the data security is significantly improved.
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