在格密码中，我们接触最多的应该是 LWE (Learning with Error) 和 Ring-LWE (Ring Learning with Error，简称RLWE)。 LWE在网络上已经有很多详细介绍了，但是RLWE介绍非常少，所以， …

In post-quantum cryptography, ring learning with errors (RLWE) is a computational problem which serves as the foundation of new cryptographic algorithms, such as NewHope, designed to …

2022年10月6日 · 新方案可实现块加密,可支持公开的密文完整性验证,具有加解密速度快、密文扩展率低的优势,其安全性可以高效地归约为判定性r-lwe困难性假设。 新方案是第一个完全基于理 …

To improve efficiency, Ring-LWE replaces linear equations with noisy ring products. Nowadays, Ring-LWE and its variants are frequently used in the construction of post-quantum secure …

Ring-LWE inherits many of LWE’s nice properties. In particular, Ring-LWE is equivalent to the planted variant of Ring-SIS, and the hardness of Ring-LWE (both search and decision) remains

本文将介绍：基于格问题 (Ring Learning with Errors, RLWE) 的后量子密钥交换算法及其原理。 算法名叫 "Ding Key Exchange" (DKE)，是提交至 NIST 后量子密码标准征集 的算法。 DKE 是 …

已知一系列 b_i=\vec a_i \cdot \vec x + e_i, i=1,2,...,m ，称为 LWE 的 m 个 sample， 欲求解出列向量 \vec x 的值。 这等价于求解具有 n 个未知量(x 的 n 个分量)的线性方程组，但有误差 ei …

Recent advances in lattice cryptography, mainly stemming from the development of ring-based primitives such as ring-LWE, have made it possible to design cryptographic schemes whose …

2020年3月30日 · 其中关于改进其实用性的一个关键突破是Ring-LWE，Ring-LWE是LWE问题的一个变体，其中密钥是由若干多项式表示的。这导致了密钥大小的二次减少，加速了加密和解 …

The ring version, which we call Ring-LWE or RLWE, was introduced in [LPR], presenting a fundamental hardness result which can be described informally as follows: for any ring of …