Title
Practically Efficient Secure Distributed Exponentiation without Bit-Decomposition
Abstract
Bit-decomposition is a powerful tool which can be used to design constant round protocols for bit-oriented multiparty computation (MPC) problems, such as comparison and Hamming weight computation. However, protocols that involve bit-decomposition are expensive in terms of performance. In this paper, we introduce a set of protocols for distributed exponentiation without bit-decomposition. We improve upon the current state-of-the-art by Ning and Xu [1,2], in terms of round and multiplicative complexity. We consider different cases where the inputs are either private or public and present privacy-preserving protocols for each case. Our protocols offer perfect security against passive and active adversaries and have constant multiplicative and round complexity, for any fixed number of parties. Furthermore, we showcase how these primitives can be used, for instance, to perform secure distributed decryption for some public key schemes, that are based on modular exponentiation.
Year
DOI
Venue
2019
10.1007/978-3-662-58387-6_16
Lecture Notes in Computer Science
Field
DocType
Volume
Round complexity,Multiplicative complexity,Multiplicative function,Computer science,Theoretical computer science,Hamming weight,Exponentiation,Public-key cryptography,Modular exponentiation,Computation,Distributed computing
Journal
10957
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Abdelrahaman Aly1385.76
Aysajan Abidin2267.79
Svetla Nikova362445.46