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A C++ implementation of the DUPLO cryptographic protocol

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DUPLO

A C++ implementation of the DUPLO cryptographic protocol

Installation

The code has been tested to work on MacOS (10.12.1) and Ubuntu 16.04.

Requirements

  • C++ compiler with C++14 support. The code has been successfully built with GCC 5.3.1, GCC 6.1 and CLANG 3.8. For building the main DUPLO runtime code the following tools are required
  • make
  • cmake
  • wget

In addition, for the TableProducer executable GMP for arbitrary-precision arithmetic is required. Finally for the Frigate extension compiler, the following external libraries are required:

  • Flex (tested with Flex 2.5.35, 2.5.37 and 2.6)
  • Bison (version 2.7, seems to be issues on systems with bison 3.x)

NOTE: If these libraries are not detected by the build system, the TableProducer and/or Frigate executables will be skipped during compilation.

Installing GMP and Bison 2.7 on MacOS (10.12) and updating PATH

Using homebrew:

  • brew install gmp
  • brew install gmp@4
  • brew install bison@2.7
  • Add 'export PATH="/usr/local/opt/bison@2.7/bin:$PATH"' to end of ~/.bash_profile

Linux Notes

Links to the required packages for the Frigate compiler:

Please see Frigate Readme or Local Frigate Readme for more details on how to install the required libraries.

Building the Project

To clone, build and test the code:

Frigate Extension Compiler

The Frigate compiler transforms a C-style program into a bolean circuit. We here provide an extension of this work that in addition can output a set of boolean circuits along with an appropriate soldering description that can be fed to the DUPLO system for secure computation of the original source program.

NOTE: For programs specifying distinct output to the parties the compiler cannot handle all cases correctly.

  • If only a single party receives the output it always works.
  • If one party receives the entire output and another party receives only a subset it works as well.
  • However for the case of the parties receiving individual output the output header and final output wires might be incorrect. In this case manually modifying the output .GC_duplo file can be done fairly straightforward.

Running the compiler

Flags:

-dp		output circuit file in DUPLO format
-aes 		embed the [`S-Box`](http://www.cs.yale.edu/homes/peralta/CircuitStuff/CMT.html) circuit to generate AES circuits efficiently
-rand		generate a random component subcircuit to finding "sweet spot" for DUPLO
Example:
./build/release/Frigate ./frigate/circuits/test.wir -dp
Generate AES
./build/release/Frigate ./frigate/circuits/aes/p1_aes.wir -dp -aes

NOTE: In order to build a program using the -aes flag, the $curr_working_dir must the the root of the project, i.e. (DUPLO), else our compiler cannot find the custom s-box circuit that we provide.

Generate random circuits
./build/release/Frigate ./frigate/circuits/randomcCircuits/p12_1_test.wir -dp -rand

DUPLO circuit format:

Each file .GC_Duplo consists of:

  1. A first line defining the number of functions and then the number of components in the circuit.
  2. A second line defining the length (in bits) of constructor's input, evaluator's input, the size of total output, the size of construtor's output, and the size of evaluator's output
  3. Each function starts at "FN" and ends at "--end FN #id--". The first line of the function shows the function index, the length of input, the length of output, the number of wires, the number of non-xor gate, and the number of gates.
  4. Gate operation: input_wire_1 input_wire_2 output_wire gate_operation

gate_operation legend:

  • "0000" : constant 0 //Never generated explicitly, supported through other means (XOR).
  • "0001" : NOR
  • "0010" : (NOT left) AND right
  • "0011" : NOT left-wire
  • "0100" : left AND (NOT right)
  • "0101" : NOT right-wire
  • "0110" : XOR
  • "0111" : NAND
  • "1000" : AND
  • "1001" : NXOR
  • "1010" : right identity
  • "1011" : (NOT left) OR right
  • "1100" : left identity
  • "1101" : left OR (NOT right)
  • "1110" : OR
  • "1111" : constant 1 //Never generated explicitly, supported through other means (XOR + NOT).

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A C++ implementation of the DUPLO cryptographic protocol

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