stark-from-zero

Create a Stark prover and verifier from zero, with Rust. Hopefully without external libraries.

The point is to create a minimal version without strong security requirements or optimizations.

Needed components

Hashing

Implement a very simple hashing algorithm.

Finite field arithmetic

Implement at least addition, subtraction and multiplication. Possibly division.

Execution trace as input

Craft an execution trace to prove, as input for the prover.

FRI

Implement FRI logic. This requires at least:

Polynomial operations

Implement evaluating polynomials.

Merkle trees

Implement.

Interpolation

Implement polynomial interpolation.

Extension field arithmetic (optional)

Possibly we can get by without an extension field, at least for the first version.