Quantum computers are probably coming, though we don’t know when—and when they arrive, they will, most likely, be able to break our standard public-key cryptography algorithms. In anticipation of this possibility, cryptographers have been working on quantum-resistant public-key algorithms. The ...
A lattices is usually introduced as 2D or 3D vectors (vectors with 2 or 3 variables), because you can draw pictures that can make some intuitive sense. In practice, the number of variables of the vectors can be arbitrary and for cryptography they are much greater than 3. Below is an exa...
所有Stable Matching组成的集合(称为Core)其实是一个Lattice。
The fact that lattice-based cryptography provides fast, quantum-safe, fundamental primitives and enables the construction of primitives that were previously thought impossible, makes it a front runner. Lattice-based primitives have already been successfully plugged into the TLS and Internet Key Exchange ...
The need for post-quantum cryptography A large-scale quantum computer breaks most public-key cryptography that is currently used on the internet such as RSA encryption and digital signatures, ECDH key exchange and ECDSA signatures. Even if no such quantum computer exists today, the prospect of one...
Lattice-Based Cryptography stands at the forefront of the cryptographic world, offering a promising solution to the looming threat of quantum computing. While there are challenges to be addressed, its advantages make it a compelling option for securing our digital future. As research and development ...
Lattice-based cryptography. In Daniel J. Bernstein, Johannes Buchmann, and Erik Dahmen, editors, Post-Quantum Cryptography, pages 147- 191. Springer Verlag, Berlin, Heidelberg, New York, 2009.D. Micciancio and O. Regev. Lattice-based Cryptography. In Post-Quantum Cryptography, pages 147-191. ...
Lattice-based Cryptography2英文版.pdf,Lattice-based Cryptography Daniele Micciancio1∗ and Oded Regev2 † 1 CSE Department, University of California, San Diego. 2 School of Computer Science, Tel-Aviv University. 1 Introduction In this chapter we desc
In this chapter we describe some of the recent progress in lattice-based cryptography. Lattice-based cryptographic constructions hold a great promise for post-quantum cryptography, as they enjoy very strong security proofs based on worst-case hardness, relatively efficient implementations, as well as ...
cryptography,built on the mathematical hard problems in(high-dimensional) lattice theory,is a promising post-quantum cryptography family due to its excellent efficiency,moderate size and strong security.This survey aims to give a general overview on lattice-based cryptography.To this end,the authors ...