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https://github.com/markkurossi/mpc

Secure Multi-Party Computation (MPC) with Go. This project implements secure two-party computation with Garbled circuit protocol.
https://github.com/markkurossi/mpc

aes-128-cbc aes-128-gcm ed25519 garbled-circuit go golang hmac-sha256 hmac-sha512 logical-circuits mpc multi-party-computation multiparty-computation oblivious-transfer programming-language sha-256 sha-512 yao-millionaires

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Secure Multi-Party Computation (MPC) with Go. This project implements secure two-party computation with Garbled circuit protocol.

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# mpc

Secure Multi-Party Computation with Go. This project implements secure
two-party computation with [Garbled circuit](https://en.wikipedia.org/wiki/Garbled_circuit) protocol. The main components are:
- [garbled](apps/garbled/): **command-line program** for running MPCL programs
- [compiler](compiler/): **Multi-Party Computation Language (MPCL)** compiler
- [circuit](circuit/): **garbled circuit** parser, garbler, and evaluator
- [ot](ot/): **oblivious transfer** library
- [sha2pc](sha2pc/): **SHA256(XOR(a, b))** two-party protocol for two 32-byte inputs

## Getting started

The easiest way to experiment with the system is to compile the
[garbled](apps/garbled/) application and use it to evaluate MPCL
programs. The `garbled` application takes the following command line
options:

- `-O`: optimization level (default 1 enabling all current optimizations).
- `-circ`: compile inputs to circuit format.
- `-cpuprofile`: write cpu profile to the specified file.
- `-d`: enable diagnostics outputs.
- `-dot`: generate Graphviz DOT output.
- `-e`: specifies circuit _evaluator_ / _garbler_ mode. The circuit evaluator creates a TCP listener and waits for garblers to connect with computation.
- `-format`: specifies circuit format for the `-circ` output file. Possible values are: `mpclc` (default), `bristol`.
- `-i`: specifies comma-separated input values for the circuit.
- `-memprofile`: write memory profile to the specified file.
- `-ssa`: compile MPCL input to SSA assembly.
- `-stream`: streaming mode.
- `-v`: enabled verbose output.

The [examples](apps/garbled/examples/) directory contains various MPCL
example programs which can be executed with the `garbled`
application. For example, here's how you can run the [Yao's
Millionaires'
Problem](https://en.wikipedia.org/wiki/Yao%27s_Millionaires%27_Problem)
which can be found from the
[millionaire.mpcl](apps/garbled/examples/millionaire.mpcl) file:

```go
package main

func main(a, b int64) bool {
if a > b {
return true
} else {
return false
}
}
```

First, start the evaluator (these examples are run in the
`apps/garbled` directory):

```
$ ./garbled -e -i 800000 examples/millionaire.mpcl
- In1: a{1,0}i64:int64
+ In2: b{1,0}i64:int64
- Out: %_{0,1}b1:bool1
- In: [800000]
Listening for connections at :8080
```

The evaluator's input is 800000 and it is set to the circuit inputs
`In2`. The evaluator is now waiting for garblers to connect to the TCP
port `:8080`.

Next, let's start the garbler:

```
$ ./garbled -i 750000 examples/millionaire.mpcl
+ In1: a{1,0}i64:int64
- In2: b{1,0}i64:int64
- Out: %_{0,1}b1:bool1
- In: [750000]
Result[0]: false
```

The garbler's input is 750000 and it is set to the circuit inputs
`In1`. The garbler connects to the evaluator's TCP port and they run
the garbled circuit protocol. At the end, garbler (and evaluator)
print the result of the circuit, which is this case is single `bool`
value `Result[0]`:

```
Result[0]: false
```

In our example, the evaluator's argument In2 is bound to the MPCL
program's `b int64` argument, and garbler's In1 to `a
int64`. Therefore, the result of the computation is `false` because
In1=750000 <= In2=800000. If we increase the garbler's input to 900000,
we see that the result is now `true` since the garbler's input is now
bigger than the evaluator's input:

```
$ ./garbled -i 900000 examples/millionaire.mpcl
+ In1: a{1,0}i64:int64
- In2: b{1,0}i64:int64
- Out: %_{0,1}b1:bool1
- In: [900000]
Result[0]: true
```

## Ed25519 Key Generation and Signature Computation

The [ed25519](apps/garbled/examples/ed25519/) directory contains
Ed25519 [key generation](apps/garbled/examples/ed25519/keygen.mpcl)
and [signature computation](apps/garbled/examples/ed25519/sign.mpcl)
examples.

### Key Generation

```
$ ./garbled -stream -e -v -i 0x784db0ec4ca0cf5338249e6a09139109366dca1fac2838e5f0e5a46f0e191bae,0xd0da45d3c99e756da831d1e7d696eae3fa9fe39d3b1b2618c7ff997d17777989b5cf415b114298c8b10bed0f0eff118e43ab606ab01143151dff89171307dffa,0x44bf09357e19b1f96f9cf6d9e7d25a0e8dd62d6e0d4bba2bec4c59983c7dc84d1486677b6d8837746cd948c881913c36faeaee08e8309afac58be4757a1c544e
```

```
$ ./garbled -stream -v -i 0x57c0e59c20ac7d75ef7e3188fdd7f5876abee1cab394af8125acaca9760bb54c,0x76b42e6292f4a3dc339d208481abeb9a24e08127c7cd8dbde62abcddc0c0e6f7a0f740e756b44dae137f0e7ff8eae0ceb1a962c130fdcbe8cbee3e31ab55b8dc,0xeb83eb1f5203f5b752c96264a21ff4a27fa60cf2313f5f53c3fa96e0b52a2814b786e43a3af64b66291b5b29f432cb8d5a930e31f4e6f072a6d33b861b5b5f13 examples/ed25519/keygen.mpcl
┏━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━┓
┃ Op ┃ Time ┃ % ┃ Xfer ┃
┡━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━┩
│ Init │ 2.039289ms │ 0.00% │ 0B │
│ OT Init │ 248.443521ms │ 0.27% │ 21kB │
│ Peer Inputs │ 10.330183787s │ 11.10% │ 1MB │
│ Eval │ 1m22.462325965s │ 88.63% │ 14GB │
│ Total │ 1m33.042992562s │ │ 14GB │
└─────────────┴─────────────────┴────────┴──────┘
Max permanent wires: 52138674, cached circuits: 23
#gates=824319227 (XOR=529672017 XNOR=28633983 AND=265892049 OR=116232 INV=4946 xor=558306000 !xor=266013227) #w=847060405
Result[0]: 8ae64963506002e267a59665e9a2e6f9348cc159be53747894478e182ece9fcb
Result[1]: 4ded80ae09692306c9659307f522f5dba1d96e48cde9f4f6e22fb340629db76aa2bee5867d009e008b6fb85902273acda8910c9a740a788f70c28ca0a3093835
Result[2]: cd5c37f4497fd56e236aa858442b3ff90f7a6401ee2186ea18d074fe93d8f9d18b582fa47a1ee0f0a9083ddd9e262b8f3c642dfad68f667f87dddd4bec80aca3
```

### Signature Computation

```
$ ./garbled -stream -e -v -i 0x46eb82a021d88960fb13388b0e76ba13b84524ffe114d7f3a728b39efc185eeaa7137132182bab7504daf200d882b787ee8b9b1c9f41be9c38fb4e0ba1aff326
```

```
$ ./garbled -stream -v -i 0x4d61726b6b7520526f737369203c6d747240696b692e66693e2068747470733a2f2f7777772e6d61726b6b75726f7373692e636f6d2f,0x5e768ad83640b43d93d6c26b34021d0a0cda6bf5eb962970554d7ab074e2f4cd49bc6fef2fa4dc2f763c1f70b751b7f03d398e8930d837130426454ea52d4449 examples/ed25519/sign.mpcl
┏━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━┳━━━━━━━━┳━━━━━━━┓
┃ Op ┃ Time ┃ % ┃ Xfer ┃
┡━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━╇━━━━━━━━╇━━━━━━━┩
│ Init │ 1.303611ms │ 0.00% │ 0B │
│ OT Init │ 131.270606ms │ 0.15% │ 16kB │
│ Peer Inputs │ 4.123998305s │ 4.69% │ 667kB │
│ Eval │ 1m23.745891208s │ 95.16% │ 15GB │
│ Total │ 1m28.00246373s │ │ 15GB │
└─────────────┴─────────────────┴────────┴───────┘
Max permanent wires: 53913890, cached circuits: 25
#gates=830082709 (XOR=533261481 XNOR=28815787 AND=267491441 OR=494216 INV=19784 xor=562077268 !xor=268005441) #w=853799279
Result[0]: b71a55aece64574bedd94729a9ca95a87b5fe0a587fecf50ff0238805132c1291e08cb871016cb4f3935bd45423626f61dc648a91affda3671b19d7b28e03505
```

# Multi-Party Computation Language (MPCL)

The multi-party computation language is heavily inspired by the Go
programming language, however it is not using the Go's compiler or any
other related components. The [compiler](compiler/) is an independent
implementation of the relevant parts of the Go syntax.

## Builtin functions

The MPCL runtime defines the following builtin functions:

- `copy(dst, src)`: copies the content of the array _src_ to
_dst_. The function returns the number of elements copied, which is
the minimum of len(src) and len(dst)
- `len(value)`: returns the length of the value as integer:
- array: returns the number of array elements
- string: returns the number of bytes in the string
- `make(type, size)`: creates an instance of the type _type_ with _size_ bits
- `native(name, arg...)`: calls a builtin function _name_ with
arguments _arg..._. The _name_ can specify a circuit file (*.circ)
or one of the following builtin functions:
- `hamming(a, b uint)` computes the bitwise hamming distance between
argument values
- `size(variable)`: returns the bit size of the argument _variable_
- `wideMul(uintn, uintn) uint2n`: multiplies two n-bit unsigned
integer numbers and returns the 2n-bit unsigned integer result

# TODO

- [ ] setup CI running all the Go tests in each PR
- [ ] [Graph](https://spidermonkey.dev/blog/2025/10/28/iongraph-web.html)
- [ ] Foundation
- [x] Circuit & garbling:
- [x] Oblivious transfer extensions
- [ ] SSA variable liveness analysis must be optimized
- [ ] TLS for garbler-evaluator protocol
- [ ] BMR multi-party protocol
- [ ] Compiler
- [ ] Check that `types.Rune` is used consistently.
- [ ] Incremental compiler
- [ ] Constant folding
- [ ] Implement using AST rewrite
- [ ] binary expressions
- [ ] if-blocks
- [ ] For-loop unrolling
- [ ] Function call and return
- [ ] peephole optimization
- [ ] SSA aliasing is 1:1 but `amov` has 2:1 relation
- [ ] variable liveness analysis for templates
- [ ] BitShift
- [x] `copy()` does not work on arrays which have been `make()`:ed
- [ ] `&base[pos][i]` returns the address of the first element
- [ ] reading from `*[32]int32` returns invalid values
- [x] Pointer handling
- [ ] Cleanup pointer r-value handling
- [ ] Slices are passed by value instead of by reference
- [ ] Selecting struct members from struct pointer value
- [ ] Streamer
- [ ] Uninitialized variables produce unspecified values in stream mode
- [ ] Ed25519
- [x] Parsing Ed25519 MPCL files
- [ ] local variables in for-loop unrolling
- [ ] Compound init values must be zero-padded to full size

## Circuit Optimization

Optimizations from [stevengoldfeder.com](http://stevengoldfeder.com/projects/circuits/sha2circuit.html):

| File | No. ANDs | No. XORs | No. INVs | |
| :-------------- | :-------------- | -------: | -------: | ------: |
| Our circuit | sha256Final.txt | 22,272 | 91,780 | 2,194 |
| Bristol circuit | sha-256.txt | 90,825 | 42,029 | 103,258 |

# Benchmarks and tests

Please, see the [benchmarks.md](benchmarks.md) file for information
about various benchmarks.