title: Report on Pairing-based Cryptography.
abstract: 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.
authors.affiliation: National Institute of Standards and Technology, Gaithersburg, MD 20899.
authors.forename: Dustin
authors.initials: D
authors.lastname: Moody
authors.affiliation: National Institute of Standards and Technology, Gaithersburg, MD 20899.
authors.forename: Rene
authors.initials: R
authors.lastname: Peralta
authors.affiliation: National Institute of Standards and Technology, Gaithersburg, MD 20899.
authors.forename: Ray
authors.initials: R
authors.lastname: Perlner
authors.affiliation: National Institute of Standards and Technology, Gaithersburg, MD 20899.
authors.forename: Andrew
authors.initials: A
authors.lastname: Regenscheid
authors.affiliation: National Institute of Standards and Technology, Gaithersburg, MD 20899.
authors.forename: Allen
authors.initials: A
authors.lastname: Roginsky
authors.affiliation: National Institute of Standards and Technology, Gaithersburg, MD 20899.
authors.forename: Lily
authors.initials: L
authors.lastname: Chen
keywords: IBE; identity-based encryption; pairing-based cryptography; pairings