Table of Contents

• Introduction
• Survey of Applications
• Multilinear Maps and Graded Encoding Systems
• Preliminaries I: Lattices
• Preliminaries II: Algebraic Number Theory Background
• The New Encoding Schemes
• Security of Our Constructions
• Preliminaries III: Computation in a Number Field
• Survey of Lattice Cryptanalysis
• One-Round Key Exchange
• Generalizing Graded Encoding Systems
• Bibliography
• Author's Biography

About the Author

Sanjam Garg grew up in royal Patiala, a beautiful city in southeastern Punjab, India. Growing up, even though he wasn't good at it, he enjoyed playing cricket with his friends. He was also remarkably curious about everything and this curiosity led him to the Indian Institute of Technology Delhi where he started studying cryptography by mistake. One mistake led to another and ultimately leading to a disaster - he ended up getting a doctoral degree from University of California, Los Angeles. During his graduate study he pondered over the lesser important questions in cryptography and the more important questions about life, making some progress on the former but none whatsoever on the latter. Unfettered, he marches on!