This repo is a tutorial/experiment/technical-report on implementing Fully Homomorphic Encrypted Elliptic Curve Digital Signature Algorithm (ECDSA) for using TFHE. I'm try to give some intro to each key concept. feel free to skip ahead.

if you just want to run the experiment now.

• install rust
• clone this repo.
• update Cargo.toml to fit your machine. see TFHE Supported platforms for more info.
• (optional) open tmux or equivalence if you're on a remote server.
• run cargo run --release --example ecdsa.
• now you have ~1-2 days to read this doc if you're on a 64-cores machine.

There's 3 level of logging built-in in the crates: Info, Debug, Traces. Default value is configured to Debug.

• Info - High level operation logging: all ECDSA operation, all group operation, scalar mul bit operation.
• Debug - Low level operation logging: all field operation.
• Trace - Auxilary, loop, and super low level logging: inverse mod bit, pow mod bit, selector, modular reduction,etc.

Use RUST_LOG="level" and then cargo command to force Rust to use that level of logging. For example,

RUST_LOG="info" cargo test --release -- --nocapture correct_inverse

We use logging_timer to automatically log our function runtime.

To remove/add timer, find these 2 patterns of code.

• Function macros - #[time("info", "Group Projective Add")] decorated on top of function will print out the timer when the function ends
• Inline macros
  • let cal_bits_tmr = timer!(Level::Debug; "Calculating bits"); - timer! will print out timer when the timer object was dropped
  • let _tmr = stimer!(Level::Info; "Scalar Mul", "Bits {:?}", _ic); - stimer! will print out timer when the timer object was initialized and dropped