### Install GoogleTest on Ubuntu

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/GoogleTest-Installation.md

Use apt to install the GoogleTest development package on Ubuntu systems.

```shell
sudo apt install libgtest-dev
```

--------------------------------

### Install GoogleTest on macOS

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/GoogleTest-Installation.md

Use Homebrew to install the GoogleTest framework on macOS.

```shell
brew install googletest
```

--------------------------------

### Install OpenSSL on Ubuntu

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/OpenSSL-Installation.md

Use this command to install OpenSSL on Ubuntu systems if it's not already present.

```shell
apt install openssl
```

--------------------------------

### Build and Install Protocol Buffers on Linux

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/Protocol-Buffers-Installation.md

Configures, builds, and installs the Protocol Buffer runtime and compiler. Ensures the shared library cache is refreshed.

```shell
./configure
make -j$(nproc) # $(nproc) ensures it uses all cores for compilation
make check
sudo make install
sudo ldconfig # refresh shared library cache.
```

--------------------------------

### Install Build Dependencies on Ubuntu/Debian

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/Protocol-Buffers-Installation.md

Installs essential build tools required for compiling Protocol Buffers on Ubuntu/Debian-based systems.

```shell
sudo apt-get install autoconf automake libtool curl make g++ unzip
```

--------------------------------

### Build Multi-Party-Sig-Cpp (non-SGX)

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/README.md

Clones the repository, updates submodules, configures with CMake, builds, tests, and installs the library for the default platform. Use -DOPENSSL_ROOT_DIR on Mac OS. Enable tests with -DENABLE_TESTS=ON. For Stark curve, use -DTEST_STARK_CURVE=ON.

```shell
git clone https://github.com/safeheron/multi-party-sig-cpp.git
cd multi-party-sig-cpp
git submodule update --recursive --init
mkdir build && cd build
# Run "cmake .. -DOPENSSL_ROOT_DIR=Your-Root-Directory-of-OPENSSL  -DENABLE_TESTS=ON" instead of the command below on Mac OS.
# Use cmake .. -DENABLE_TESTS=ON -DTEST_STARK_CURVE=ON for stark curve.
cmake ..  -DENABLE_TESTS=ON
# Add the path to the LD_LIBRARY_PATH environment variable on Mac OS; Ignore it on Linux
export LIBRARY_PATH=$LIBRARY_PATH:/usr/local/lib/
make
make test
sudo make install
```

--------------------------------

### Install GoogleTest on CentOS/Red Hat

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/GoogleTest-Installation.md

Use yum to install the GoogleTest development package on CentOS or Red Hat systems.

```shell
yum install gtest
```

--------------------------------

### Install OpenSSL on macOS with Homebrew

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/OpenSSL-Installation.md

Install the latest version of OpenSSL on macOS using Homebrew if your current version is outdated.

```shell
brew install openssl
```

--------------------------------

### Install OpenSSL on CentOS/Red Hat

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/OpenSSL-Installation.md

Use this command to install OpenSSL on CentOS or Red Hat systems if it's not already present.

```shell
yum install openssl
```

--------------------------------

### Install Build Dependencies on Mac

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/Protocol-Buffers-Installation.md

Installs essential build tools required for compiling Protocol Buffers on macOS using Homebrew.

```shell
brew install autoconf automake libtool
```

--------------------------------

### Build Multi-Party-Sig-Cpp for SGX Platform

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/README.md

Builds the library specifically for the Intel SGX trusted computing platform. Requires ssgx and safeheron-crypto-suites-cpp to be pre-built and installed for SGX.

```shell
mkdir build-sgx && cd build-sgx
cmake .. -DPLATFORM=SGX -DCMAKE_INSTALL_PREFIX=/opt/safeheron/ssgx
make
sudo make install
```

--------------------------------

### Clone and Prepare Protocol Buffers Source

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/Protocol-Buffers-Installation.md

Clones the Protocol Buffers repository, checks out a specific version, initializes submodules, and generates the configure script.

```shell
git clone https://github.com/protocolbuffers/protobuf.git
cd protobuf
git checkout v3.14.0
git submodule update --init --recursive
./autogen.sh
```

--------------------------------

### Configure Dependencies for Non-SGX Platform

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/src/CMakeLists.txt

Finds and links necessary libraries for the project when not building for the SGX platform. This includes Protobuf, OpenSSL, and custom SafeheronCryptoSuites.

```cmake
if (NOT PLATFORM STREQUAL "SGX")
    find_package(PkgConfig REQUIRED)
    pkg_search_module(PROTOBUF REQUIRED protobuf)  # depend on pkg-config, this looks for opencv.pc file

    #set(OPENSSL_USE_STATIC_LIBS TRUE)
    find_package(OpenSSL REQUIRED)

    find_package(SafeheronCryptoSuites REQUIRED)

    target_link_directories(${CMAKE_PROJECT_NAME} PRIVATE /usr/local/lib)
    target_link_libraries(${CMAKE_PROJECT_NAME}
            ${PROTOBUF_LIBRARIES}
            OpenSSL::Crypto
            -ldl
            SafeheronCryptoSuites
    )
endif()
```

--------------------------------

### Link Multi-Party-Sig-Cpp Library with CMake

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/README.md

Demonstrates how to find and link the MultiPartySig library, Protocol Buffers, and OpenSSL within a CMake project. Sets C++ standard and build type.

```cmake
project(XXXX)

set(CMAKE_CXX_STANDARD 11)
set(CMAKE_BUILD_TYPE "Release")

find_package(PkgConfig REQUIRED)
pkg_search_module(PROTOBUF REQUIRED protobuf)  # this looks for *.pc file
#set(OPENSSL_USE_STATIC_LIBS TRUE)
find_package(OpenSSL REQUIRED)
find_package(MultiPartySig REQUIRED)

add_executable(${PROJECT_NAME} XXXX.cpp)
target_include_directories(${PROJECT_NAME} PUBLIC
        ${MultiPartySig_INCLUDE_DIRS}
        ${PROTOBUF_INCLUDE_DIRS}
        )
          
target_link_libraries(${PROJECT_NAME} PUBLIC
        MultiPartySig
        OpenSSL::Crypto
        ${PROTOBUF_LINK_LIBRARIES}
        pthread )

```

--------------------------------

### Key Generation Parameters

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/README.md

These parameters are essential for the key generation process in the multi-party signature scheme. They include prime factors, their squares, and related modular arithmetic values.

```json
{
    "p": "EF7CBAC70A9A16E76DEB176BDE0EA0A4F00635ED9F8154105A106CDE36740AE4A55DD6E06A3B4FFACA38AF12A5C931B72A766A362F9473DAD112553DADD9F3F0A8B4A8AE96E9D93010B4BE335DC451F08D7ECB9A3634779A5DFBD1A9C8A4F237BB795D82770D31BC030047DEE6906BB98938B5BC4A4829A9BD0FF2D943607F8B",
    "q": "C87CD2891D53121046C32612E4E774CC50B82B49653B3521004CDC71135514CAE9148EF8CA6CAFCA3EF474FCA1F4BED99273291268E2345FD64DA22AA86E4EDD1F94215DF8877F50C367CFB0A99C481B75B5B7EE6E7EF7EDCD7D87EF7B33ED51965EC0D653568B4DEFB5B6C4D278D85A518954719A9E4F996423480B9FCFC033",
    "pSqr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
    "qSqr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
    "pMinus1": "EF7CBAC70A9A16E76DEB176BDE0EA0A4F00635ED9F8154105A106CDE36740AE4A55DD6E06A3B4FFACA38AF12A5C931B72A766A362F9473DAD112553DADD9F3F0A8B4A8AE96E9D93010B4BE335DC451F08D7ECB9A3634779A5DFBD1A9C8A4F237BB795D82770D31BC030047DEE6906BB98938B5BC4A4829A9BD0FF2D943607F8A",
    "qMinus1": "C87CD2891D53121046C32612E4E774CC50B82B49653B3521004CDC71135514CAE9148EF8CA6CAFCA3EF474FCA1F4BED99273291268E2345FD64DA22AA86E4EDD1F94215DF8877F50C367CFB0A99C481B75B5B7EE6E7EF7EDCD7D87EF7B33ED51965EC0D653568B4DEFB5B6C4D278D85A518954719A9E4F996423480B9FCFC032",
    "hp": "D64879AA27F6732BD16282560B079B26EFA03A20AD971462EBB46C40FB001856687DE25A4D0293376864B9E5ADC353189CEF0656D9BED7936CE590EB2DC12D579DF52AAABEF96446B2F34E070F9369CF0139507DAAB724B51E3C20A03A5B364410F6657AB7AC473DEF38F3238122CCB0A85E654D74B1F2D5433CFEEE07E88532",
    "hq": "1519871F22A516442843B1C4AEA009E57162C115F32A09B15DEE50B44C8EBF7EA238E20DE7A3D1F4947C20AA8A93B8E5B66B3A5ACCA1AC98C4A0D877E513498D0437AD5D9A665B97BE5EEF1E7505D9F75DBDAF3CC516CFA7819A11FA6079799887542033633CAAEFCEE37F458BB498BEF1B5339BAF91998B8B1359695217B66B3A5ACCA1AC98C4A0D877E513498D0437AD5D9A665B97BE5EEF1E7505D9F75DBDAF3CC516CFA7819A11FA6079799887542033633CAAEFCEE37F458BB498BEF1B5339BAF91998B8B1359695217B66B",
    "qInvP": "1934411CE2A3A3BB9C889515D307057E0065FBCCF1EA3FAD6E5C009D3B73F28E3CDFF4861D38BCC361D3F52CF805DE9E8D8763DF55D59C47642CC4528018C6990ABF7E03D7F074E95DC1702C4E30E8218C457B1C8B7D52E53FBFB1098E49BBF3AA82F807BF60EA7E13C754BB656D9F08E0DA506ED59636D479D2F3EB3B77FA59",
    "pInvQ": "B3634B69FAADFBCC1E7F744E36476AE6DF556A3372112B6FA25E8BBCC6C6554C46DBACEAE2C8DDD5AA785452176105F3DC07EEB79C4087C711ACC9B2C35B05501B5C74005E2123B90508E09234966E2417F808B1A96828464BE375F51ABA73B90F0AA0A2F019E05E20D2377F46C43F9B5FD420D5EB0CB60DD90FEEA24DB809C5"
  }
```

--------------------------------

### Build Multi-Party-Sig-Cpp with Disabled Protocols

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/README.md

Configures the build to exclude specific MPC protocols using CMake macros like -DNO_MPC_GG18=ON. Use -DOPENSSL_ROOT_DIR on Mac OS.

```shell
# Run "cmake .. -DOPENSSL_ROOT_DIR=Your-Root-Directory-of-OPENSSL  -DENABLE_TESTS=ON -DNO_MPC_GG18=ON" instead of the command below on Mac OS.
cmake .. -DENABLE_TESTS=ON -DNO_MPC_GG18=ON
```

--------------------------------

### Minimal Key Generation Output (Base64)

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/README.md

This is the secret share output in base64 format after the minimal key generation procedure in the CMP protocol. It contains cryptographic material for each signer.

```c++
"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"
```

--------------------------------

### Set LD_LIBRARY_PATH for Compilation on Mac

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/Protocol-Buffers-Installation.md

Adds the Protocol Buffers library path to the LD_LIBRARY_PATH environment variable, which is necessary for compilation on macOS.

```shell
export LIBRARY_PATH=$LIBRARY_PATH:/usr/local/lib/
```

--------------------------------

### Auxiliary Info and Key Refresh Protocol Output

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/README.md

The secret share in base64 format obtained after the MPC procedure. This share is used as input for the 'Sign' protocol.

```c++
"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
```

--------------------------------

### Include Project Subdirectories

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/src/CMakeLists.txt

Adds subdirectories to the CMake build. These likely contain modules for multi-party cryptographic operations.

```cmake
add_subdirectory(multi-party-sig/mpc-flow)
```

```cmake
add_subdirectory(multi-party-sig/multi-party-ecdsa)
```

```cmake
add_subdirectory(multi-party-sig/two-party-ecdsa)
```

--------------------------------

### Minimal Key Generation Output (JSON)

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/README.md

This is the secret share output in JSON format after the minimal key generation procedure in the CMP protocol. It details the threshold, number of parties, and cryptographic parameters for each signer.

```json
{
 "threshold": 3,
 "nParties": 3,
 "localParty": {
  "partyId": "co_signer1",
  "index": "01",
  "x": "4FD09F2AE63BFB995ABE1BA9163D83623BBE91629D9BE0204A58A51811141E80",
  "gX": {
   "x": "1DCD11C5D9099B70700CFCCFC6DAF4823964E6772A9A98D443E9AD762DAA483D",
   "y": "29BAC2A1961B1A6A4863B7F155FFB39AFAE127C2CFA9989D025DB4B6A6C46FAE",
   "curve": "secp256k1"
  }
 },
 "remoteParties": [
  {
   "partyId": "co_signer2",
   "index": "02",
   "gX": {
    "x": "DE13E92D582AD635F45EA9D4AC45C8BBA589166F6E6FEB02A26447EEEC2EB03A",
    "y": "69FFE7777D28E28A4229DD3EE0EA7D249CAE856D8B5D258533CFD501906978A3",
    "curve": "secp256k1"
   }
  },
  {
   "partyId": "co_signer3",
   "index": "03",
   "gX": {
    "x": "09E05B38E939A3894DBD0D37B1DC91BDE7CA35064965580E669894564BE4548F",
    "y": "EAC9E6C4602D658EC1FC08CCA24BCEBAE0107B4A56AE4894D4130CABBFE0A824",
    "curve": "secp256k1"
   }
  }
 ],
 "gX": {
  "x": "DFEA26A0B1398DF52D802913DB12C1D0692F050047E7B3BCA2D34DCFC3669F14",
  "y": "B27F26A0C38E8E9B04B2D7E6D602D4C0B3C5DCEFCBAA50ABE7CFB0191ADC2BFD",
  "curve": "secp256k1"
 }
}
```

--------------------------------

### P1's Secret Share in Base64 Format

Source: https://github.com/safeheron/multi-party-sig-cpp/blob/main/README.md

This snippet shows the base64 encoded secret share obtained by P1 at the end of the MPC Key Generation procedure. Ensure correct decoding for usage.

```c++
"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
```