A Solidity library for performing arithmetic operations within a prime field, with the characteristic of secp256k1.

Installation

To install with Foundry:

forge install 0xfuturistic/prime-field-arithmetic

Features

• Arithmetic in Prime Field: Perform addition, subtraction, multiplication, and exponentiation within the constraints of a prime field.
• Optimized for secp256k1 Curve: Utilizes the widely recognized secp256k1 curve prime, ensuring compatibility with a broad range of cryptographic applications.
• Solidity Optimized: Crafted specifically for Solidity, providing efficient gas usage and performance in smart contract development.

Use Cases

• Cryptographic Operations: Ideal for smart contracts requiring cryptographic computations, such as digital signatures, zero-knowledge proofs, and other cryptographic protocols.
• Smart Contract Security: Prevent underflows and overflows from ever happening by leveraging operations over a finite field using this library.
• Interoperability with higher-level math: Crucial for applications leveraging a high level of mathematical rigor and precision, such as in decentralized finance (DeFi) and cryptography.

Getting Started

After installing, to integrate PrimeFieldArithmetic into your Solidity project:

import "prime-field-arithmetic/src/PrimeFieldArithmetic.sol";

Then add the following line to your contract:

using PrimeFieldArithmetic for uint256;

Contributing

Contributions are welcome. Please adhere to standard coding practices and provide tests for new features.

License

Distributed under the MIT License.