Abstract
In this chapter, we introduce some mathematical primitives including finite fields, groups, and bilinear pairing that are the foundations of group-based cryptography. We also describe three types of hash functions that play an important role in the scheme constructions. We mainly focus on introducing the feasibility of basic operations and the size of binary representations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Guo, F., Susilo, W., Mu, Y. (2018). Foundations of Group-Based Cryptography. In: Introduction to Security Reduction. Springer, Cham. https://doi.org/10.1007/978-3-319-93049-7_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-93049-7_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-93048-0
Online ISBN: 978-3-319-93049-7
eBook Packages: Computer ScienceComputer Science (R0)