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

CRII：SaTC：智能手持嵌入式设备上的抗量子算法的设计、实现和分析

• 批准号: 1661557
• 负责人: Reza Azarderakhsh
• 金额: $ 7.66万
• 依托单位: Florida Atlantic University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-08-16 至 2018-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1661557&HistoricalAwards=false
• 关键词: CRII; SaTC; Design; Implementation; Analysis

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

量子计算机的前景是对当前使用的公共密钥加密算法的安全性的威胁。人们普遍认为，包括RSA和ECC在内的公共密钥加密系统将通过使用某些算法的量子计算机破坏。尽管尚不存在大规模量子计算机，但目的是开发具有量子的密码系统，以期待量子计算机，因为当今Internet上使用的大多数公共密钥密码学是基于容易受到量子攻击的算法。该项目将在椭圆曲线上探索差异性，以此作为抗量子的密码学的基础。众所周知，等级计算很困难。该项目将分析较新，更快的同基因家族，该家族为寻找ISEGEN的问题提供了更快的解决方案。它将利用最先进的技术并采用新的优化来加快基于等级的密码学的计算，包括塔场和曲线算术。现场算术计算的性能受到处理器微构造特征，操作数，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量子加密计算的快速算法和架构提供初步结果。有关更多信息