Garaga

Report a Bug - Request a Feature - Ask a Question

About

Efficient pairing library using polynomial representation of field elements, written in Cairo 🐺.

Garaga can enable efficient pairing operations in StarkNet, by using polynomial representation of field elements. This is a work in progress, and is not yet ready for production use.

Here are some interesting use cases enabled by Garaga:

• SNARKs on StarkNet: Groth16 and Plonk (in the near future).
• KZG cryptographic commitment scheme.
• Identity-based encryption schemes.
• Attribute-based encryption schemes.
• BLS (Boneh–Lynn–Shacham) Digital Signature scheme.

Architecture overview

In progress.

Getting Started

To get started with Garaga, you'll need to have some tools and dependencies installed. Here's everything you need:

Prerequisites

Ensure you have the following installed:

• Python 3.10 - The core language used for development.
• Go - Required for profiling and testing.
• pprof - A tool for visualization and analysis of profiling data.
• graphviz - Necessary for generating graphical representations of profiling data.

Setup

Once you have the prerequisites installed, you can set up your development environment with the following steps:

make setup

At this point, you should have everything you need to start developing with Garaga. Before proceeding, make sure to activate the virtual environment by running source venv/bin/activate.

Compile & Run .cairo files (interactive script!)

make run

Benchmarks

OP	Weight in steps
MULMOD	8
ADDMOD	4
ASSERT_EQ	2
RLC	28
POSEIDON BN254	15
POSEIDON BLS12_381	19

circuit	MULMOD	ADDMOD	ASSERT_EQ	POSEIDON	RLC	~steps
Double Step BLS12_381	22	9	2	0	0	216
Double Step BN254	24	11	2	0	0	240
Fp6 SQUARE_TORUS	12	16	0	7	1	307
Double-and-Add Step BLS12_381	32	13	4	0	0	316
Triple Step	36	14	4	0	0	352
Double-and-Add Step BN254	36	17	4	0	0	364
Mul L by L	18	8	0	11	1	391
Fp12 SQUARE	25	11	0	13	1	493
Mul LL by L	26	13	0	13	1	509
Mul by L	28	15	0	13	1	533
Mul LL by LL	32	18	0	13	1	577
Mul by LL	34	20	0	13	1	601
Fp12 MUL	36	22	0	13	1	625
Fp6 MUL_TORUS	36	34	0	13	2	701
Miller n=1 BLS12_381	4934	3995	137	1580	131	89414
Miller n=1 BN254	5982	4801	177	1810	153	98848
Final Exp BN254	4686	6059	3	1931	317	99571
Final Exp BLS12_381	5128	7117	3	2333	384	124577
Miller n=2 BLS12_381	8026	6235	273	2276	199	138510
Miller n=2 BN254	10128	7855	353	2740	241	160998
Miller n=3 BLS12_381	11350	8707	409	3088	267	192594
MultiPairing n=1 BN254	10668	10860	180	3741	470	198419
MultiPairing n=1 BLS12_381	10062	11112	140	3913	515	213991
Miller n=3 BN254	14450	11085	529	3758	329	226580
BLS12FinalExp Fp12 Karabina No EXTF Trick	7774	43002	0	0	0	234200
MultiPairing n=2 BN254	14814	13914	356	4671	558	260569
MultiPairing n=2 BLS12_381	13154	13352	276	4609	583	263087
MultiPairing n=3 BLS12_381	16478	15824	412	5421	651	317171
MultiPairing n=3 BN254	19136	17144	532	5689	646	326151

	Final Exp BN254	Final Exp BLS12_381	Miller n=1 BLS12_381	Miller n=1 BN254	Miller n=2 BLS12_381	Miller n=2 BN254	Miller n=3 BLS12_381	Miller n=3 BN254
MUL_TORUS	62	33	0	0	0	0	0	0
EXTF_SQUARE	0	0	63	65	63	65	63	65
EXTF_MUL_DENSE	62	33	0	0	5	22	63	66
SQUARE_TORUS	189	315	0	0	0	0	0	0
Double Step	0	0	58	44	116	88	174	132
Double-and-Add Step	0	0	4	21	8	42	12	63
Triple Step	0	0	1	0	2	0	3	0
MUL_L_BY_L	0	0	5	22	68	88	73	110
MUL_LL_BY_LL	0	0	0	0	5	22	5	23
MUL_LL_BY_L	0	0	0	0	0	0	58	44
MUL_BY_L	0	0	58	44	0	0	0	0
MUL_BY_LL	0	0	5	22	58	44	5	21

Support & How to Contribute

We warmly welcome contributions and support from the community! Here's how you can help Garaga grow and improve:

Reporting Issues & Requesting Features

• Spot a bug? Have a feature request? Check out our issues page to see if it's already been reported or to open a new issue.

Contributing to Garaga

• Interested in contributing? Please take a moment to read our contribution guidelines for details on how to get started. Your contributions make the open-source community an incredible place for learning, inspiration, and creation.

Showing Support

• Love Garaga? Give us a star on GitHub to show your support.
• Spread the word: Share your excitement about Garaga on social platforms like Twitter, Dev.to, Medium, or your personal blog.
• Join the conversation: Connect with us and other Garaga enthusiasts on our Telegram group.

Every contribution, whether it's code, feedback, or spreading the word, greatly benefits everyone and is deeply appreciated. Thank you for being a part of Garaga's journey!

Security

Garaga follows good practices of security, but 100% security cannot be assured. Garaga is provided "as is" without any warranty. Use at your own risk.

For more information and to report security issues, please refer to our security documentation.

License

This project is licensed under the MIT license.

See LICENSE for more information.

Acknowledgements

• Huge props to tekkac and feltroidprime for their initial work on provable pairing-based cryptography in StarkNet.
• Credits to Nethermind for their initial work on optimized modular arithmetic.
• Herodotus for supporting this project.
• Gnark project and team, especially yelhousni for his amazing knowledge and support.
• OnlyDust and Starkware.

Resources

• Craig Costello, Pairing for beginners
• Y. El Housni, "Pairings in Rank-1 Constraint Systems," Cryptology ePrint Archive, Report 2022/1162, 2022. Available: https://eprint.iacr.org/2022/1162.
• feltroidprime. "Faster Extension Field multiplications for Emulated Pairing Circuits." HackMD, https://hackmd.io/@feltroidprime/B1eyHHXNT.

Note: This list is not exhaustive, and is not intended to be.

Contributors

For a full list of all authors and contributors, see the contributors page.

Thanks goes to these wonderful people (emoji key):

Feltroid Prime 💻	Abdel @ StarkWare 💻	Tarik K. 💻	Bachir Arif 💻	Renaud Dubois 💻
Add your contributions

This project follows the all-contributors specification. Contributions of any kind welcome!