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The trend in smart city is partly due to advances in Internet of Things. In any smart city, a significant amount of data is generated at the edge of the network, such as traffic data collected by smart devices on vehicles in smart transportation, and educational multimedia materials captured by and disseminated using smart phones or tablets in smart education. Generally, data is transmitted to the cloud for further processing and storage, which requires significant network resources and has associated security and privacy risks. However, most of the data could be pre-processed to reduce the transmission cost of the network and protect the privacy of the user. For instance, duplicate data cloud be reduced and videos cloud be compressed. To achieve this, some computation is required to be performed at the edge of the network. One commonly seen application in smart city is smart grids, partly due to the rapid digitization of household appliances, service industries, manufacturing processes, etc. Smart meters and other intelligent devices been deployed in each household and business premise, detailed information about the usage of the electricity (and potentially other information) is periodically collected and transmitted to the cloud server. Cloud storage, Cryptography, Data security, Public audit, Secure deduplication, Bilinear pairing, Smart grid.