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Binius64

Binius64 is a zero-knowledge succinct argument system (zk-SNARK), implemented in Rust. Binius64 is capable of proving arbitrary computations, expressed as non-deterministic circuits over 64-bit words.

Binius64 is a successor to the original Binius protocol, with a focus on simplicity and CPU performance. The constraint system natively encodes bitwise operations on 64-bit words through shifted value indices, which combine value references with shift operations. This design achieves a 64-fold reduction in constraint complexity compared to bit-level approaches while maintaining the efficiency advantages of binary field arithmetic. The protocol targets modern 64-bit CPUs with SIMD instructions, making it practical for real-world applications requiring zero-knowledge proofs.

For further documentation, visit

  • The binius.xyz documentation website.
    • The Blueprint section provides a detailed description of the Binius64 cryptographic protocol.
    • The Building section contains practical guides for how to build and prove applications using Binius64.
  • The Rust docs at docs.binius.xyz.
  • Irreducible's post Announcing Binius64.

Dependencies

  • rustup: We recommend using rustup to install the Rust compiler and Cargo toolchain.

Usage

Building

Binius64 implements optimizations for certain target architectures. To enable these, export the environment variable

export RUSTFLAGS="-C target-cpu=native"

When including binius64 as a dependency, it is recommended to add the following lines to your Cargo.toml file to have optimizations across crates

[profile.release]
lto = "thin"

Running Examples

The prover/examples/ directory contains example circuits, which you can run using the CLI framework.

For example, to run an example proving a SHA-512 preimage of a fixed-length 65536-byte message:

$ RUSTFLAGS="-Ctarget-cpu=native" cargo run --release --example sha512 prove --message-len 65536
   Finished `release` profile [optimized + debuginfo] target(s) in 0.09s
     Running `target/release/examples/sha512 prove --message-len 65536`
Building circuit [ 2.99s | 100.00% ]

Setup [ 619.81ms | 100.00% ] { log_inv_rate = 1 }

Generating witness [ 14.12ms | 100.00% ]
├── Input population [ 173.34µs | 1.23% ]
└── Circuit evaluation [ 12.60ms | 89.22% ]

prove [ 128.58ms | 100.00% ] { operation = prove, perfetto_category = operation, n_witness_words = 1048576, n_bitand = 1048576, n_intmul = 1 }
...

Pass --max-message-len instead of --message-len (the two are mutually exclusive) to build the variable-length circuit, whose capacity is fixed at build time but whose message length is a runtime witness bounded by that capacity:

$ RUSTFLAGS="-Ctarget-cpu=native" cargo run --release --example sha512 prove --max-message-len 131072

Enabling multithreading

Multithreading using Rayon is available, but it is disabled by default. This is controlled by the rayon Cargo feature. To run an example with multithreading enabled, use --features rayon.

Architecture

For repository structure and architectural details, see ARCHITECTURE.md.

Contributing

Developers (both human and artificial intelligence) should read CONTRIBUTING.md before submitting pull requests.

The project welcomes first time contributions from developers who want to learn more about Binius64 and make an impact on the open source cryptography community.

If you are new to the project and don't know where to start, you can look for open issues labeled good first issue or add test coverage for existing code. Adding unit tests is a great way to learn how to interact with the codebase, make a meaningful contribution, and maybe even find bugs!

On the other hand, we do not accept typo fix PRs from first-time contributors. These are not significant enough to justify the additional work for maintainers nor any potential benefits, tangible or intangible, one might get from being listed as a contributor to the repo.

Authors & Supporters

Binius64 was originally developed by Irreducible, with funding from Bain Capital Crypto and Paradigm.

Contributing

Developers (both human and artificial intelligence) should read the CONTRIBUTING.md file before submitting pull requests.

The project welcomes first time contributions from developers who want to learn more about Binius64 and make an impact on the open source cryptography community.

If you are new to the project and don't know where to start, you can look for open issues labeled good first issue or add test coverage for existing code. Adding unit tests is a great way to learn how to interact with the codebase, make a meaningful contribution, and maybe even find bugs!

On the other hand, we do not accept typo fix PRs from first-time contributors. These are not significant enough to justify the additional work for maintainers nor any potential benefits, tangible or intangible, one might get from being listed as a contributor to the repo.

Licensing

SPDX-License-Identifier: Apache-2.0 OR MIT

This project is dual-licensed under either Apache-2.0 or MIT, at your option. Any contribution intentionally submitted for inclusion in the project shall be dual-licensed under the Apache-2.0 and MIT licenses, without any additional terms or conditions.

Apache-2.0 Notice

Copyright 2025 The Binius Developers Copyright 2025 Irreducible, Inc.

Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at

  http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License.

MIT Notice

Copyright (c) 2025 The Binius Developers Copyright (c) 2025 Irreducible, Inc.

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

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