CRII: SaTC: Design, Implementation, and Analysis of Quantum-Resistant Algorithms on Smart Handheld Embedded Devices

量子计算机的前景对目前使用的公钥加密算法的安全性构成了威胁。人们普遍认为，包括RSA和ECC在内的公钥密码系统都会被量子计算机采用一定的算法所破解。虽然大规模量子计算机还不存在，但目标是在量子计算机的预期中开发抗量子密码系统，因为今天在互联网上使用的大多数公钥加密都是基于易受量子攻击的算法。本项目将探索椭圆曲线上的同生现象，作为抗量子密码学的基础。等染色体计算是非常困难的。该项目将分析更新和更快的同基因族，从而更快地解决寻找同基因族的问题。它将利用最先进的技术，并采用新的优化来加速基于等基因的密码术的计算，包括塔场和曲线算法。字段算术计算的性能受到处理器微体系结构特征、操作数的大小、算法和与之相关的编程技术的强烈影响。这项研究将为开发适合新兴嵌入式系统的后量子加密计算的快速算法和架构提供初步结果。欲了解更多信息，请访问项目网站：http://people.rit.edu/~rxaeec/Research.html

The prospect of quantum computers is a threat against the security of currently used public key cryptographic algorithms. It has been widely accepted that, both public key cryptosystems including RSA and ECC will be broken by quantum computers employing certain algorithms. Although large-scale quantum computers do not yet exist, but the goal is to develop quantum-resistant cryptosystems in anticipation of quantum computers as most of the public key cryptography that is used on the Internet today is based on algorithms that are vulnerable to quantum attacks. This project will explore isogenies on elliptic curves as a foundation for quantum-resistant cryptography. Isogeny computation is known to be difficult. This project will analyze newer and faster families of isogenies, which yield a faster solution to the problem of finding isogenies. It will exploit state-of-the-art techniques and employ new optimizations to speed up the computation in isogeny-based cryptography, including tower field and curve arithmetic. The performance of field arithmetic computation is strongly influenced by the processor micro-architecture features, the size of the operands, the algorithms, and programming techniques associated to them. This research will provide preliminary results on developing fast algorithms and architectures for post-quantum cryptographic computations suitable for emerging embedded systems. For further information see the project website at: http://people.rit.edu/~rxaeec/Research.html