Post-Quantumers

Properties

• Tighter proofs of CCA security in the quantum random oracle model by Nina Bindel, Mike Hamburg, Kathrin Hövelmanns, Andreas Hülsing and Edoardo Persichetti

Lattice-base cryptography

What we read

• A Decade of Lattice Cryptography by Chris Peikert

Introduction

• Lattice-based Cryptography by Daniele Micciancio and Oded Regev
• The Two Faces of Lattices in Cryptology by Phong Q. Nguyen
• Winter School on Cryptography: Introduction to Lattices by Oded Regev
• Lattices: Algorithms, Complexity, and Cryptography by Shafi Goldwasser
• Mathematics of Lattices by Daniele Micciancio
• Using Lattices for Cryptanalysis by Nadia Heninger
• Lattice-Based Cryptography by Phong Nguyen
• Reduction-Respecting Parameters for Lattice-Based Cryptosystems by Gates, Fletcher

Dual Lattice

• Dual Lattice and Dual Basis by Daniele Micciancio
• Dual Lattices by Oded Regev

Short Integer Solutions Problem (SIS)

• The Short Integer Solutions Problem and Cryptographic Applications by Daniele Micciancio
• Short Integer Solutions A Worst-case to Average-case Reduction by Agnese Gini
• The SIS problem

Learning With Errors (LWE)

• The Learning With Errors Problem and Cryptographic Applications by Chris Peikert
• Learning With Errors by Chris Peikert
• L11: Learning with Errors by Vinod Vaikuntanathan
• The Learning with Errors Problem by Oded Regev

Techniques

• Worst-case to Average-case Reductions based on Gaussian Measures by Daniele Micciancio and Oded Regev