The Short Integer Solutions Problem and Cryptographic Applications

Explore the Short Integer Solutions (SIS) problem and its cryptographic applications in this comprehensive lecture by Daniele Micciancio from UC San Diego. Delve into the intricacies of lattice-based cryptography, examining worst-case to average-case reductions and their implications for Minicrypt. Gain insights into the fundamental concepts and algorithms underlying lattice-based cryptosystems, and understand how the SIS problem serves as a foundation for various cryptographic constructions. Discover the connections between lattice theory, complexity theory, and modern cryptography in this in-depth presentation from the Lattices: Algorithms, Complexity, and Cryptography Boot Camp at the Simons Institute.

The Short Integer Solutions Problem and Cryptographic Applications