This post is part 3 of my post-quantum series. Part 1 introducedquantum computers and why we need new crypto standards. Part 2 introducedhash-based signatures, how they work, and what their issues are. In this article I introduce the leading popular replacement for classical algorithms: lattic...
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 Cryptography Daniele Micciancio ∗ Oded Regev † July 22, 2008 1 Introduction In this chapter we describe some of the recent progress in lattice-based cryptography. Lattice-based cryp- tographic constructions hold a great promise for post-quantum cryptography, as they enjoy very st...
Breaking lattice-based cryptography with a quantum computer seems to require orders of magnitude more qubits than breaking RSA, because the key size is much larger and processing it requires more quantum storage. Consequently, testing an algorithm like Chen’s is completely infeasible with current tec...
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 great simplicity. In addition, lattice-based cryptography is believed to be secure against ...
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 continue, lattice-based cryptography is poised to become a cornerstone of secure communication in the post-quantum ...
考虑到不是每个学校都有搞lattice cryptography的教授或者开设这方面的课程(实名制羡慕UCSD和UMICH的同学),但现在post-quantum又是密码学里比较火热的研究方向,而提到post-quantum就离不开lattice,所以我在学习过程中收集了些在线的资源给大家分享。 首先是 Chris Peikert的讲义 ,这是15年的课,比较基础,没有视频,我...
comparing, sharing, and classifying data hidden in ciphertexts. At the same time, the advent of the quantum computing era has brought unprecedented challenges to traditional cryptography. Fortunately, a lattice-based PKEET scheme can solve the above problems. In this paper, we design a lattice-bas...
based 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 ...
Reference repository on Lattice-based CryptographyView on GitHub What is Lattice-based Cryptography? Post-quantum Cryptography: An Introduction (Shweta Agrawal) Lattice-based Cryptography (Daniele Micciancio and Oded Regev) Basic Lattice Cryptography: Encryption and Fiat-Shamir Signatures (Vadim Lyubashevsky...