diff options
Diffstat (limited to 'moon-abe/pbc-0.5.14/doc/quickstart.txt')
-rw-r--r-- | moon-abe/pbc-0.5.14/doc/quickstart.txt | 69 |
1 files changed, 69 insertions, 0 deletions
diff --git a/moon-abe/pbc-0.5.14/doc/quickstart.txt b/moon-abe/pbc-0.5.14/doc/quickstart.txt new file mode 100644 index 00000000..2f94e46e --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/quickstart.txt @@ -0,0 +1,69 @@ +== Installing PBC == + +The PBC library needs http://www.swox.com/gmp/[the GMP library]. + +This build system has been tested and works on Linux and Mac OS X with a +fink installation. + + $ ./configure + $ make + $ make install + +On Windows, the configure command requires a couple of options: + + $ ./configure -disable-static -enable-shared + +By default the library is installed in `/usr/local/lib`. On some systems, this +may not be in the library path. One way to fix this is to edit +`/etc/ld.so.conf` and run `ldconfig`. + +=== Simple Makefile === + +For speed and simplicity, I use `simple.make` during development. +Naturally it is less portable. + + $ make -f simple.make + +PBC uses some GNU C extensions such as nested functions. + +[[pbcintro]] +=== Quick start === + +We shall use the following notation. For our purposes, the pairing is a +bilinear map from two cyclic groups, G1 and G2 to a third group GT, where each +group has prime order r. + +Run `pbc/pbc` and type: + + g := rnd(G1); + g; + +The first line generates a random element g of the group G1, +while the second prints out the value of g. (The syntax was influenced +by `bc`, an arbitrary precision calculator.) +Next, enter: + + h := rnd(G2); + h; + +This assigns h to a random element of the group G2. Actually, the default +pairing `pbc` uses is symmetric so G1 and G2 are in fact the same group, but in +general they are distinct. To compute the pairing applied to g and h, type: + + pairing(g,h); + +The order of both g and h is r. Let's generate two random numbers between +1 and r: + + a := rnd(Zr); + b := rnd(Zr); + +By bilinearity, the resulting output of both of these lines should be +identical: + + pairing(g^a,h^b); + pairing(g,h)^(a*b); + +This program has <<pbcref, other features>> but the commands shown here should +be enough to quickly and interactively experiment with many pairing-based +cryptosystems using real numbers. |