LPM2DA: a lattice-based privacy-preserving multi-functional and multi-dimensional data aggregation scheme for smart grid

The smart grid provides efficient transmission of energy and data. However, the frequent gathering of users' consumption data discloses users' privacy. Plenty of data aggregation schemes have been introduced to preserve the privacy of users' private information. Unfortunately, with the advent of quantum machines, most of these schemes will be rendered vulnerable and insecure. Hence, to preserve privacy and provide other security services like integrity and authentication in smart grid, we attempt to introduce a secure scheme based on lattice-based cryptography named LPM2DA: a lattice-based privacy-preserving multi-functional and multi-dimensional data aggregation scheme. The proposed scheme enables the control center to acquire temporal and spatial aggregation of multi-dimensional data in a privacy-preserving manner. Also, it empowers the control center to calculate different statistical functions such as mean, variance, and skewness on users' multi-dimensional data. Eventually, through analytical evaluation, we illustrate the efficiency of the proposed scheme.