The ``bplib`` is a library implementing support for computations on groups supporting
bilinear pairings, as used in modern cryptography.
It is based on the OpenPairing library by
Diego Aranha (https://github.com/dfaranha/OpenPairing), which is itself based on, and compatible
with, OpenSSL math functions (``bn`` and ``ec``). The ``bplib`` is compatible with ``petlib`` types
including ``petlib.bn`` and the group G1 is a ``petlib.ec`` EC group. Along with ``petlib``,
they provide easy to use
support for maths and ciphers used in modern Privacy Enhancing Technologies."
A set of bilinear EC groups is defined as:
>>> G = bp.BpGroup()
Such a BpGroup describes 3 groups G1, G2 and GT such that pair(G1,G2)->GT. Generators
for the groups G1 and G2 are denoted by:
>>> g1, g2 = G.gen1(), G.gen2()
The special ``pair`` operation computes to pairing into GT:
>>> gt = G.pair(g1, g2)
Operations are defined on all elements of G1, G2 or GT in a natural additive infix notation for G1 and G2, and a multiplicative notation for GT:
>>> gt6 = gt**6
As expected the ``pair`` operations is additive:
>>> G.pair(g1, 6*g2) == gt6
True
>>> G.pair(6*g1, g2) == gt6
True
>>> G.pair(2*g1, 3*g2) == gt6
True
Raw data
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