格子密码(Lattice-based Cryptography),是在结构本身或在安全证明中涉及格(Lattice)的加密图元构造的通用术语。基于晶格的构造目前是后量子密码学的重要候选者。 1.格 定义1:让v1,v2,⋯,vn 是在n 维欧几里得空间(Euclidean space) Rn 中的独立向量(independent vectors)。格(lattice)记作 L ,它是由 {v1,v2...
我个人非常希望有兴趣的知友们可以加入Lattice研究和学习的大家庭,甚至协助我们完成Winter School on Cryptography 2012的听译工作。此项工作完成后,我们也会切入Winter School on Cryptography 2013: Bilinear Pairings in Cryptography(3rd BIU Winter School)的听译工作中。而我1是做Pairing-based Cryptography出来的,这...
lattice cryptography基础——格密码学前置知识 格密码学(Lattice Cryptography)是一种基于数学格的加密方法,其安全性依赖于数学格的困难问题。 在了解格密码学之前,需要掌握以下前置知识: 1.线性代数:格密码学的基础是数学格,而数学格是线性代数中的一个重要概念。因此,了解向量、矩阵、线性方程组等基本概念对于理解...
Summary: In recent years, lattice-based cryptography has been recognized for its many attractive properties, such as strong provable security guarantees and apparent resistance to quantum attacks, flexibility for realizing powerful tools like fully homomorphic encryption, and high asymptotic efficiency. ...
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 being built in the not-too-distant...
在密码学的前沿领域，格子密码（Lattice-based Cryptography）像一颗璀璨的宝石，其构造理念和数学原理不仅推动了后量子密码学的革新，更是信息安全领域的一股新势力。让我们一起揭开格子密码的神秘面纱，探索其深邃的数学内涵。1. 格子的世界在数学的广袤天地中，一个格（lattice）是由 欧几里得空间 中一组...
All lattice based cryptography is relatively new, and module based systems are even newer. We are still trying to analyze the systems, and attacks that shave off some of the security continue to be found. Our initial uses of these cryptographic systems will likely be combined with our classical...
Closest Vector Problem;Lattice;Lattice Reduction;NTRU;Post-quantum Cryptography;Public Key Cryptography;Shortest Vector Problem Definition Lattice-based cryptography is a generic term used to encompass a wide range of cryptographic functions whose security is based on the conjectured intractability of Lattice...
LatticeCrypto 2016年5月 LatticeCrypto is a high-performance and portable software library that implements lattice-based cryptographic algorithms. The first release of the library provides an implementation of lattice-based key exchange with security based on the Ring Learning With Errors (R-LWE) proble...
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