# Grant Proposal: Rust Implementation of HyperWolf Polynomial Commitment Scheme and Kaspa Blockchain Integration

## Project Overview

This project proposes to implement the HyperWolf polynomial commitment scheme in Rust and explore its integration with the Kaspa blockchain protocol. HyperWolf, recently introduced in [ePrint 2025/922](https://eprint.iacr.org/2025/922.pdf), represents a breakthrough in lattice-based polynomial commitments, achieving $\mathcal{O}(\log N)$ proof sizes and verification times while maintaining linear prover costs.

## Technical Objectives

**Primary Implementation Goals:**
- Develop a proof-of-concept Rust implementation of the HyperWolf scheme
- Implement both univariate and multilinear polynomial support under the unified framework
- Optimize the $k$-dimensional tensor (hypercube) structure and $k$-round recursive proof protocol
- Achieve the theoretical performance benefits: $\mathcal{O}(\log n)$ proof size, $\mathcal{O}(\log n)$ verification time, and $\mathcal{O}(n)$ prover time

**Kaspa Integration Research:**
- Investigate HyperWolf's applicability to Kaspa's DAG-based consensus mechanism
- Explore polynomial commitment applications in Kaspa's block validation and state proof systems
- Assess potential improvements to Kaspa's scalability through succinct proofs

## Technical Approach

The implementation will leverage Rust's memory safety and performance characteristics, critical for cryptographic applications. We will build upon established lattice cryptography libraries like [lattirust](https://github.com/lattirust) while implementing the novel hypercube dimensionality reduction algorithm. The Kaspa integration phase will focus on identifying specific use cases where polynomial commitments enhance the protocol's efficiency, particularly in areas requiring succinct proofs of computation or state transitions.

## Expected Impact

This work will deliver the first open-source implementation of HyperWolf in Rust, enabling broader adoption of this efficient polynomial commitment scheme. The Kaspa integration research will potentially unlock new scalability improvements for DAG-based blockchains, contributing to the advancement of both cryptographic protocols and blockchain technology.

We will organize regular public presentations in English to share development progress, technical insights, and research findings with the broader cryptographic and blockchain communities.

## Budget

**The buget is 10,000 USDT** - which will cover development resources, computational infrastructure for testing and benchmarking, and research collaboration expenses.

## Team
- Kurt Pan
- Gao Shang
- Emily

## Timeline

6-month project duration with milestone-based deliverables including initial Rust implementation, performance benchmarks, and comprehensive documentation.