It is a challenging issue in smart grid to provide flexible and efficient data aggregation and at the same time maintain data integrity and data privacy. To address this issue, we firstly propose a lightweight $t$ -times homomorphic encryption scheme, which can reduce the computational cost of smart devices further and resist quantum attacks. Based on it, we propose two efficient data aggregation schemes for two application scenarios. The first scheme is suitable for small network, such as home network and small-office network. The second scheme is appropriate for medium-size network, such as a part of smart city. More specifically, we explore how the number of smart devices and the number of home area networks affect the overhead of communication and computation. The experiment results show that the proposed schemes are efficient. Moreover, the proposed schemes not only meet security requirements of integrity, confidentiality, authenticity, resistance to intermediate attack, resistance to replay attack, forward and backward security and resistance to quantum attack, but also reduce the overhead of communication and computation.

中文翻译：

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智能电网的两种安全高效的轻量级数据聚合方案

在智能电网中，提供灵活高效的数据聚合并同时保持数据完整性和数据保密性是一个具有挑战性的问题。为了解决这个问题，我们首先提出一个轻量级的 $ t $ 次同态加密方案，可以进一步降低智能设备的计算成本并抵御量子攻击。基于此，我们针对两种应用场景提出了两种有效的数据聚合方案。第一种方案适用于小型网络，例如家庭网络和小型办公室网络。第二种方案适用于中型网络，例如智慧城市的一部分。更具体地说，我们探索智能设备的数量和家庭局域网的数量如何影响通信和计算的开销。实验结果表明，该方案是有效的。此外，所提出的方案不仅满足完整性，机密性，真实性，对中间攻击的抵抗，对重放攻击的抵抗，