Moody Dustin, Peralta Rene, Perlner Ray, Regenscheid Andrew, Roginsky Allen, Chen Lily
National Institute of Standards and Technology, Gaithersburg, MD 20899.
J Res Natl Inst Stand Technol. 2015 Feb 3;120:11-27. doi: 10.6028/jres.120.002. eCollection 2015.
This report summarizes study results on pairing-based cryptography. The main purpose of the study is to form NIST's position on standardizing and recommending pairing-based cryptography schemes currently published in research literature and standardized in other standard bodies. The report reviews the mathematical background of pairings. This includes topics such as pairing-friendly elliptic curves and how to compute various pairings. It includes a brief introduction to existing identity-based encryption (IBE) schemes and other cryptographic schemes using pairing technology. The report provides a complete study of the current status of standard activities on pairing-based cryptographic schemes. It explores different application scenarios for pairing-based cryptography schemes. As an important aspect of adopting pairing-based schemes, the report also considers the challenges inherent in validation testing of cryptographic algorithms and modules. Based on the study, the report suggests an approach for including pairing-based cryptography schemes in the NIST cryptographic toolkit. The report also outlines several questions that will require further study if this approach is followed.
本报告总结了基于配对密码学的研究成果。该研究的主要目的是形成美国国家标准与技术研究院（NIST）对于目前研究文献中已发表且在其他标准机构中已标准化的基于配对密码学方案进行标准化和推荐的立场。本报告回顾了配对的数学背景。这包括诸如对配对友好的椭圆曲线以及如何计算各种配对等主题。它还简要介绍了现有的基于身份的加密（IBE）方案以及其他使用配对技术的密码学方案。本报告全面研究了基于配对的密码学方案的标准活动现状。它探讨了基于配对的密码学方案的不同应用场景。作为采用基于配对方案的一个重要方面，本报告还考虑了密码算法和模块验证测试中固有的挑战。基于该研究，本报告提出了一种将基于配对的密码学方案纳入NIST密码工具包的方法。本报告还概述了如果遵循此方法将需要进一步研究的几个问题。
