Cryptographic Schemes and Prototypes

We have seen that qFALL-math provides the basic types and functions while qFALL-tools provides common building block for cryptographic schemes.

qFALL-schemes is a collection of prototype implementations of lattice-based cryptography. This chapter gives an overview of the already implemented schemes and gives a hands-on tutorial on how to create your own prototype.

Implemented Prototypes

We will give some explicit examples, but here is a short (non-exhaustive) list of features that qFALL-schemes currently provides.

• Public-Key Encryption
  • LWE Encryption
  • Dual LWE Encryption
  • LPR Encryption
  • Ring-based LPR Encryption
  • CCA-secure Encryption
  • K-PKE
• Identity-Based Encryption
  • IBE from Dual LWE Encryption
• Signatures
  • Full-Domain Hash (FDH) / Probabilistic FDH (PFDH)
  • Ring-based FDH
• Hash Functions
  • SIS-Hash Function
  • SHA256

Note: This list is neither exhaustive nor frequently updated. So, please check qfall_schemes for updates and further details.