Cryptography is essential for the security of online communication, cars and implanted
medical devices. However, many commonly used cryptosystems will be completely broken …

In today Internet era, confidential information transmitted over an insecure channel. With the
significant development in the area of quantum computing, there is a need for unconditional …

This work describes a fast fully homomorphic encryption scheme over the torus (TFHE) that
revisits, generalizes and improves the fully homomorphic encryption (FHE) based on GSW …

Rapid advances in quantum computing, together with the announcement by the National
Institute of Standards and Technology (NIST) to define new standards for digitalsignature …

Abstract The National Institute of Standards and Technology is in the process of selecting
publickey cryptographic algorithms through a public, competition-like process. The new …

This document is the supporting documentation of Falcon. It is organized as follows. Chapter
2 explains the overall design of Falcon and its rationale. Chapter 3 is a complete …

• Increase noise parameter for Kyber512 In the round-2 submission of Kyber, the decryption
error for Kyber512 was rather conservative, while at the same time, there were requests to …

A succinct non-interactive argument of knowledge (SNARK) allows a prover to produce a
short proof that certifies the veracity of a certain NP-statement. In the last decade, a large …

We give a polynomial-time quantum reduction from worst-case (ideal) lattice problems
directly to decision (Ring-) LWE. This extends to decision all the worst-case hardness results …

Designing public key cryptosystems that resist attacks by quantum computers is an important
area of current cryptographic research and standardization. To retain confidentiality of …