Lattice based cryptography

General

• Reference repository for Lattice based cryptography
• Lattice based cryptography - Micciancio and Regev
• A decade of Lattice cryptography - Peikert
• Survey of polynomial multiplications for lattice based cryptosystems

Lecture series/Conferences

• Lattices algorithms and complexity bootcamp
• Computational challenges in the theory of lattices
• Lattices LWE and PQC - Vinod Vaikuntanathan

Lattice problems

• on BDD USVP and minmum distance problem
• Fine grained hardness of Lattice problems

Learning With Errors (LWE)

• On lattices LWE, RLC and cryptography - Regev
• On concrete hardness of LWE
• Variants of LWE - thesis
• The Learning with Errors Problem
• RLWE in polynomial rings
• RLWE in any number field
• Pseudorandomness of RLWE for any ring and modulus

Short Integer Solution (SIS)

• Generating hard instances of lattice problems - Ajtai
• Relationships between LWE and SIS
• Ring SIS and ideal lattices - notes
• Lattice cryptography and SIS problem

Security

• Lattice based attacks
• Lattice estimator

Cryptographic schemes built on Lattice based cryptography

• Fully Homomorphic Encryption