🏰 Winterfell XFG STARKs ❄️ Where Cryptography Meets the North

A fortress of cryptographic strength, implementing STARK (Scalable Transparent Argument of Knowledge) proofs with the unyielding security of Winterfell's walls, memory safety as solid as the castle's foundation, and zero-cost abstractions that would make even the most cunning Lannister envious.

• ⚔️ Field Arithmetic: Type-safe field element operations with constant-time implementations that would make the Night's Watch proud
• 📜 Polynomial Operations: Efficient polynomial arithmetic and evaluation, more precise than even Mæster Luwin's calculations
• 🏰 STARK Proof System: Complete STARK proof generation and verification- the cryptographic equivalent of Winterfell's defenses
• 🔮 Type System: Comprehensive type definitions for all cryptographic operations, as thorough as the Stark family tree

• Constant-time cryptographic operations that never reveal their secrets
• Secure secret management with zeroization.
• Type-level prevention of timing attacks, more reliable than the Wall's magic
• Memory safety through Rust's type system as strong as Valyrian steel
• Comprehensive error handling with Result types as true as the word of Ned Stark's son.

• Zero-cost abstractions for all operations as efficient as Arya's water dancing
• Optimized field arithmetic implementations as fast as direwolves
• Efficient polynomial evaluation algorithms as precise as one of The L3-eyed Raven's visions
• Minimal runtime overhead for type safety as light as a crow's feather

• Rust 1.70+ (Install Rust) -
• Cargo (comes with Rust)

# Clone the repository
git clone https://github.com/ColinRitman/xfgwinter.git
cd xfgwinter

# Build the project
cargo build

# Run tests
cargo test

# Run benchmarks
cargo bench

xfgwinter/
├── src/
│   ├── lib.rs              # Main library entry point - The Great Hall
│   ├── types/              # Type system definitions - The Crypts
│   │   ├── mod.rs          # Type system module - The Master's Chamber
│   │   ├── field.rs        # Field element types - The Armory
│   │   ├── polynomial.rs   # Polynomial types - The Library
│   │   ├── stark.rs        # STARK proof types - The Godswood
│   │   └── secret.rs       # Secret management types - The Secret Chambers
│   ├── field/              # Field arithmetic implementations - The Training Yard
│   ├── polynomial/         # Polynomial arithmetic implementations - The Maester's Tower
│   ├── stark/              # STARK proof implementations - The Watchtower
│   └── utils/              # Utility functions - The Kitchens
├── agents/                 # Background agent specifications - The Council Chamber
├── background-agents/      # Background agent system - The War Room
├── tests/                  # Integration tests - The Training Grounds
├── benches/                # Performance benchmarks - The Tourney Grounds
└── docs/                   # Documentation - The Archives

use xfg_stark::types::field::PrimeField64;

// Create field elements - Forging the weapons
let a = PrimeField64::new(5);
let b = PrimeField64::new(3);

// Perform arithmetic operations - The art of war
let sum = a + b;
let product = a * b;
let inverse = a.inverse().unwrap();

// Constant-time operations - The way of the North
let ct_sum = a.add_constant_time(&b);
let ct_product = a.mul_constant_time(&b);

use xfg_stark::types::polynomial::FieldPolynomial;
use xfg_stark::types::field::PrimeField64;

// Create polynomials - Crafting the spells
let coeffs = vec![PrimeField64::new(1), PrimeField64::new(2), PrimeField64::new(1)];
let poly = FieldPolynomial::new(coeffs);

// Evaluate polynomial - Casting the magic
let result = poly.evaluate(PrimeField64::new(3));

// Polynomial arithmetic - The maester's calculations
let poly2 = FieldPolynomial::constant(PrimeField64::new(1));
let sum = poly.add(&poly2);
let product = poly.multiply(&poly2);

use xfg_stark::types::stark::{StarkProof, ExecutionTrace, Air};
use xfg_stark::types::field::PrimeField64;

// Create execution trace - The witness of the North
let trace = ExecutionTrace {
    columns: vec![vec![PrimeField64::new(1), PrimeField64::new(2)]],
    length: 2,
    num_registers: 1,
};

// Create AIR constraints - The laws of the realm
let air = Air {
    constraints: vec![],
    transition: TransitionFunction {
        coefficients: vec![vec![PrimeField64::new(1)]],
        degree: 1,
    },
    boundary: BoundaryConditions { constraints: vec![] },
    security_parameter: 128,
};

// Create STARK proof - The seal of Winterfell
let proof = StarkProof {
    trace,
    air,
    commitments: vec![],
    fri_proof: FriProof {
        layers: vec![],
        final_polynomial: vec![PrimeField64::new(1)],
        queries: vec![],
    },
    metadata: ProofMetadata {
        version: 1,
        security_parameter: 128,
        field_modulus: "0x30644e72e131a029b85045b68181585d97816a916871ca8d3c208c16d87cfd47".to_string(),
        proof_size: 1024,
        timestamp: 1234567890,
    },
};

cargo test

# Field arithmetic tests - Testing the armory
cargo test field

# Polynomial tests - Testing the library
cargo test polynomial

# STARK proof tests - Testing the watchtower
cargo test stark

# Secret management tests - Testing the secret chambers
cargo test secret

cargo bench

Generate and view API documentation:

cargo doc --open

This implementation is based on:

• STARK Proofs: Scalable Transparent Arguments of Knowledge - The ancient magic of the North
• Field Arithmetic: Finite field operations for cryptographic security - The foundation of Winterfell
• Polynomial Commitment Schemes: Efficient polynomial evaluation and commitment - The maester's wisdom
• FRI Protocol: Fast Reed-Solomon Interactive Oracle Proof - The raven's message system

• Winterfell by Meta: cryptographic primitives and STARK implementation patterns

We welcome new maesters to xfgwin! Please see Archmæster or How to become a mæster for details.

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