[Resource Topic] 2015/995: Updates on Sorting of Fully Homomorphic Encrypted Data

Welcome to the resource topic for 2015/995

Title:
Updates on Sorting of Fully Homomorphic Encrypted Data

Authors: Nitesh Emmadi, Praveen Gauravaram, Harika Narumanchi, Habeeb Syed

Abstract:

In this paper, we show implementation results of various algorithms that sort data encrypted with Fully Ho- momorphic Encryption scheme based on Integers. We analyze the complexities of sorting algorithms over encrypted data by considering Bubble Sort, Insertion Sort, Bitonic Sort and Odd- Even Merge sort. Our complexity analysis together with imple- mentation results show that Odd-Even Merge Sort has better performance than the other sorting techniques. We observe that complexity of sorting in homomorphic domain will always have worst case complexity independent of the nature of input. In addition, we show that combining different sorting algorithms to sort encrypted data does not give any performance gain when compared to the application of sorting algorithms individually.

ePrint: https://eprint.iacr.org/2015/995

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