Links

Pairing-based cryptography resources on the web.

Theory

Throughout this site are several documents giving some background on pairing-based cryptography such as the PBC Library Manual, my PhD thesis and my notes, including some on cryptography, and programming pairing-based cryptography.

Other resources:

Handbook of Applied Cryptography: By Alfred J. Menezes, Paul C. van Oorschot and Scott A. Vanstone. Describes many algorithms and techniques that are used in, and ought to be used in PBC. For example: sliding windows, NAF exponentiation, Montgomery representation.
The Pairing-Based Crypto Lounge: Categorized list of pairing-based cryptography publications. Maintained by Paulo Barreto.

MIRACL: Mike Scott’s C++ library which also provides pairing-based cryptography primitives. Runs on many Windows versions and Linux x86, and is very quick on those platforms due to tight hand-optimized assembly code for low-level arithmetic. Free for noncommercial use.
SAGE: Open-source software for Algebra and Geometry Experimentation.
PARI/GP: A computer algebra system that includes elliptic curves. While it does not have pairings by default, it is not too difficult to write scripts to compute pairings, e.g: Katherine Stange’s script for computing the Tate pairing via elliptic nets.
Relic tool-kit: A modern cryptographic meta-toolkit with emphasis on efficiency and flexibility. Includes pairings, notably pairings over supersingular curves which PBC does not support.
Ancient History: Information on very old versions of the PBC library.