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Report on Pairing-based Cryptography.

Dustin Moody¹, Rene Peralta¹, Ray Perlner¹

¹National Institute of Standards and Technology, Gaithersburg, MD 20899.

Journal of Research of the National Institute of Standards and Technology

|March 10, 2016

Summary

This summary is machine-generated.

This study evaluates pairing-based cryptography for NIST standardization. It reviews mathematical foundations, current standards, and challenges, suggesting an approach for integrating these advanced cryptographic schemes.

Keywords:

IBE identity-based encryption pairing-based cryptography pairings

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Area of Science:

Cryptography
Number Theory
Applied Mathematics

Background:

Pairing-based cryptography utilizes advanced mathematical concepts, including pairing-friendly elliptic curves.
Existing identity-based encryption (IBE) and other schemes leverage pairing technology.

Purpose of the Study:

To inform the National Institute of Standards and Technology (NIST) position on standardizing pairing-based cryptography.
To review current research and standardization activities for pairing-based cryptographic schemes.

Main Methods:

Comprehensive review of mathematical foundations of pairings and elliptic curves.
Analysis of existing identity-based encryption (IBE) and pairing-based schemes.
Assessment of current standardization efforts and application scenarios.
Evaluation of validation testing challenges for cryptographic algorithms.

Main Results:

The report details the mathematical underpinnings and current landscape of pairing-based cryptography.
It identifies various application scenarios and standardization activities.
Challenges in validation testing of these advanced cryptographic modules are highlighted.

Conclusions:

An approach for incorporating pairing-based cryptography into the NIST cryptographic toolkit is proposed.
Further research is recommended to address specific questions arising from this integration.