Data redundancy is a significant issue that wastes plenty of storage space in the cloud-fog storage integrated environments. Most of the current techniques, which mainly center around the static scenes, for example, the backup and archive systems, are not appropriate because of the dynamic nature of data in the cloud or integrated cloud environments. This problem can be effectively reduced and successfully managed by data deduplication techniques, eliminating duplicate data in cloud storage systems. Implementation of data deduplication (DD) over encrypted data is always a significant challenge in an integrated cloud-fog storage and computing environment to optimize the storage efficiently in a highly secured manner. This paper develops a new method using Convergent and Modified Elliptic Curve Cryptography (MECC) algorithms over the cloud and fog environment to construct secure deduplication systems. The proposed method focuses on the two most important goals of such systems. On one side, the redundancy of data needs to be reduced to its minimum, and on the other hand, a robust encryption approach must be developed to ensure the security of the data. The proposed technique is well suited for operations such as uploading new files by a user to the fog or cloud storage. The file is first encrypted using the Convergent Encryption (CE) technique and then re-encrypted using the Modified Elliptic Curve Cryptography (MECC) algorithm. The proposed method can recognize data redundancy at the block level, reducing the redundancy of data more effectively. Testing results show that the proposed approach can outperform a few state-of-the-art methods of computational efficiency and security levels.

中文翻译：

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用于集成云边缘网络的安全数据重复数据删除系统

数据冗余是一个重大问题，浪费了云雾存储集成环境中的大量存储空间。由于云或集成云环境中数据的动态性质，当前大多数主要围绕静态场景的技术（例如备份和存档系统）都不适用。可以通过重复数据删除技术有效地减少并成功解决此问题，从而消除云存储系统中的重复数据。在集成的云雾存储和计算环境中，以高度安全的方式有效地优化存储，在加密数据上实施重复数据删除（DD）始终是一项重大挑战。本文在云和雾环境下开发了一种使用收敛和改进的椭圆曲线密码学（MECC）算法构建安全重复数据删除系统的新方法。所提出的方法着重于这种系统的两个最重要的目标。一方面，需要将数据的冗余度降至最低，另一方面，必须开发一种可靠的加密方法以确保数据的安全性。所提出的技术非常适合诸如用户将新文件上传到雾或云存储的操作。首先使用会聚加密（CE）技术对文件进行加密，然后使用修改后的椭圆曲线密码术（MECC）算法对其进行重新加密。所提出的方法可以在块级别识别数据冗余，从而更有效地减少数据冗余。