Lattice Based Public Key Cryptography In Hardware

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Lattice-Based Public-Key Cryptography in Hardware

This book describes the efficient implementation of public-key cryptography (PKC) to address the security challenges of massive amounts of information generated by the vast network of connected devices, ranging from tiny Radio Frequency Identification (RFID) tags to powerful desktop computers. It investigates implementation aspects of post quantum PKC and homomorphic encryption schemes whose security is based on the hardness of the ring-learning with error (LWE) problem. The work includes designing an FPGA-based accelerator to speed up computation on encrypted data in the cloud computer. It also proposes a more practical scheme that uses a special module called recryption box to assist homomorphic function evaluation, roughly 20 times faster than the implementation without this module.
A Decade of Lattice Cryptography

Surveys most of the major developments in lattice cryptography over the past ten years. The main focus is on the foundational short integer solution (SIS) and learning with errors (LWE) problems, their provable hardness assuming the worst-case intractability of standard lattice problems, and their many cryptographic applications.
Mathematics of Public Key Cryptography

Author: Steven D. Galbraith
language: en
Publisher: Cambridge University Press
Release Date: 2012-03-15
This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography.