$ test/pbc Pairing-Based Calculator > a=rnd(G1) > b=rnd(G2) > c=pairing(a,b,A) > c [8123908995412397222629407861526403178767561618899656268507645810910469570940171 354920981464587606639849486738202862428348258236992210185732214124221043399 1895 53814264885989040711088624722149213923285853653986751240825585711288561007379288 8682665226785064897799276077038762941403815137279201878124496544381814] > r=rand(Zr) > c^r [3657835355267111517147932281225731429445945576520458069770856379924948048294629 981309298603543337841873858888814047590238596753897868865331802933313743255 5062 40043246682709738369359568183546905789682883656306401246404807118581570274256476 4691903194225678537056515561674449527079685938158385917551215894965196] > ar=a^r > pairing(ar, b) expect three arguments runtime error (error code = 0) > pairing(ar,b,A) [3657835355267111517147932281225731429445945576520458069770856379924948048294629 981309298603543337841873858888814047590238596753897868865331802933313743255 5062 40043246682709738369359568183546905789682883656306401246404807118581570274256476 4691903194225678537056515561674449527079685938158385917551215894965196] > br=b^r > pairing(a,br,A) [3657835355267111517147932281225731429445945576520458069770856379924948048294629 981309298603543337841873858888814047590238596753897868865331802933313743255 5062 40043246682709738369359568183546905789682883656306401246404807118581570274256476 4691903194225678537056515561674449527079685938158385917551215894965196]
PBC Library
The Pairing-Based Cryptography Library
News Archive 9
Released pbc-0.3.11
Fixed a bug in the element_to_bytes() function for finite fields causing the output to depend on the host byte order.
Behind the scenes, code was cleaned. For example, I got rid of the curve_t data type which I found confusing, and did not fit with my philosophy of shoehorning every algebraic structure into the field_t data type.
Wed Oct 4 15:02:05 PDT 2006
Released pbc-0.3.10
The main improvement is Hovav Shacham’s preprocessed element exponentiation routines. See the manual for details.
Tue Oct 3 00:29:29 PDT 2006
Mailing List Created
Hovav Shacham and I created a mailing list to discuss the development of the PBC library.
From now, if you have any PBC-related questions please send them to pbc-devel at googlegroups dot com.
The URL for the list is: http://groups.google.com/group/pbc-devel
Mon Oct 2 16:57:54 PDT 2006
pbc-0.3.9 Released
I spent most of my time since the last release on a new test program confusingly named pbc. It allows interactive testing of the library. During the development I felt I may have been better off working on performance improvements instead of squandering time on a hand-written parser and interpreter, but now that it works, I’m pleased with the results. I have yet to document it. The following session shows how it can be used:
There are actually no prompts. I edited them in afterwards to show exactly what I was typing.
I made a couple of minor fixes so that mingw can compile PBC. The resulting binaries for Windows are on the download page.
I generally get worse times with the Windows binaries, and they seem to vary more from run to run.
Fri Sep 29 12:33:33 PDT 2006
pbc-0.3.8 Released
I rewrote element_vfprintf() so it does not use GNU C extensions. PBC should now compile under mingw, though I have to test this.