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//! Multiple message signatures //! When a signer has all the private keys and wants to produce a single //! signature over various data. For example when signing a transaction //! in the UTXO model where a single signature is produced over all the //! inputs for efficient veriffication use crate::{ MuSigContext, PublicKey }; use bacteria::Transcript; use mohan::dalek::{ scalar::Scalar, }; /// MuSig multimessage context #[derive(Clone)] pub struct Multimessage<M: AsRef<[u8]>> { pairs: Vec<(PublicKey, M)>, } impl<M: AsRef<[u8]>> Multimessage<M> { /// Constructs a new multimessage context pub fn new(pairs: Vec<(PublicKey, M)>) -> Self { Self { pairs } } } impl<M: AsRef<[u8]>> MuSigContext for Multimessage<M> { fn commit(&self, transcript: &mut Transcript) { transcript.append_message(b"dom-sep", b"schnorr-multi-signature v1"); transcript.append_u64(b"n", self.pairs.len() as u64); for (key, msg) in &self.pairs { transcript.commit_point(b"X", key.as_compressed()); transcript.append_message(b"m", msg.as_ref()); } } fn challenge(&self, i: usize, transcript: &mut Transcript) -> Scalar { let mut transcript_i = transcript.clone(); transcript_i.append_u64(b"i", i as u64); transcript_i.challenge_scalar(b"c") // TBD: Do we want to add a domain separator to the transcript? } fn len(&self) -> usize { self.pairs.len() } fn key(&self, index: usize) -> PublicKey { self.pairs[index].0 } } // /// Creates a signature for multiple private keys and multiple messages // pub fn sign_multimessage( // transcript: &mut Transcript, // keys: &[&SecretKey], // messages: &[(&PublicKey, &[u8])] // ) -> Result<Signature, SchnorrError> { // if messages.len() != keys.len() { // return Err( // errors::from_musig( // MuSigError::TooManyParticipants // ) // ); // } // if keys.len() == 0 { // return Err(SchnorrError::BadArguments); // } // //set the domain // transcript.proto_name(b"Schnorr_musig"); // //randomize transcript and commit private key // let mut rng = transcript // .build_rng() // // Use one key that has enough entropy to seed the RNG. // // We can call unwrap because we know that the privkeys length is > 0 // .rekey_with_witness_bytes(b"secret_key", keys[0].as_bytes()) // .finalize(&mut rand::thread_rng()); // // Generate ephemeral keypair (r, R). r is a random nonce. // let r: Scalar = Scalar::random(&mut rng); // // R = generator * r, commiment to nonce // let _r: CompressedRistretto = (&r * &RISTRETTO_BASEPOINT_TABLE).compress(); // // Commit the context, and commit the nonce sum with label "R" // transcript.append_u64(b"Multimessage_len", messages.len() as u64); // for (key, msg) in messages { // transcript.commit_point(b"public_key", key.as_compressed()); // transcript.append_message(b"message", msg.as_ref()); // } // //commit to our nonce // transcript.commit_point(b"R", &_r); // //compute the signature, s = r + sum{c_i * x_i} // let mut s = r; // for i in 0..keys.len() { // let mut transcript_i = transcript.clone(); // //This prevents later steps from being able to get the same challenges that come from the forked transcript. // transcript_i.append_message(b"dom-sep", b"multi_message_boundary"); // //The index i is the index of pair of the key it matches to. // transcript_i.append_u64(b"i", i as u64); // //Acts as the hash commitment for message, nonce commitment & pubkey // let c: Scalar = transcript_i.challenge_scalar(b"c"); // s = s + c * keys[i].as_scalar(); // } // Ok(Signature { R: _r, s: s }) // } // pub fn verify_multimessage( // transcript: &mut Transcript, // signature: &Signature, // messages: &[(&PublicKey, &[u8])] // ) -> Result<(), SchnorrError> { // //set the domain // transcript.proto_name(b"Schnorr_musig"); // // Commit the context, and commit the nonce sum with label "R" // transcript.append_u64(b"Multimessage_len", messages.len() as u64); // for (key, msg) in messages { // transcript.commit_point(b"public_key", key.as_compressed()); // transcript.append_message(b"message", msg.as_ref()); // } // transcript.commit_point(b"R", &signature.R); // // Form the final linear combination: // // `s * G = R + sum{c_i * X_i}` // // -> // // `0 == (-s * G) + (1 * R) + sum{c_i * X_i}` // // Get the total number of points in batch // let dyn_length: usize = messages.len(); // let length = 1 + dyn_length; // include the (B, B_blinding) pair // let mut weights: Vec<Scalar> = Vec::with_capacity(length); // let mut points: Vec<Option<RistrettoPoint>> = Vec::with_capacity(length); // // (1 * R) // points.push(signature.R.decompress()); // weights.push(Scalar::one()); // //(-s * G) // weights.push(-signature.s); // points.push(Some(RISTRETTO_BASEPOINT_POINT)); // for i in 0..messages.len() { // let c = { // let mut t = transcript.clone(); //TODO is this clone cheap? // //This prevents later steps from being able to get the same challenges that come from the forked transcript. // t.append_message(b"dom-sep", b"multi_message_boundary"); // //The index i is the index of pair of the key it matches to. // t.append_u64(b"i", i as u64); // //get the per-pubkey challenge c_i. // //Acts as the hash commitment for message, nonce commitment & pubkey // t.challenge_scalar(b"c") // }; // //sum_i(X_i * c_i) into cX. // weights.push(c); // //Decompress verification key P. If this fails, return Err(VMError::InvalidPoint). // points.push(Some(messages[i].0.into_point())); // } // //Check if s * G == cX + R. G is the base point. // let check = RistrettoPoint::optional_multiscalar_mul(weights, points) // .ok_or(SchnorrError::VerifyError)?; // // We need not return SigenatureError::PointDecompressionError because // // the decompression failures occur for R represent invalid signatures. // if !check.is_identity() { // return Err(SchnorrError::VerifyError); // } // Ok(()) // } // #[test] // fn verify_multimessage_singleplayer() { // use crate::Keypair; // use rand::prelude::*; // let messages = vec![b"message1", b"message2", b"message3", b"message4"]; // let ctx = Transcript::new(b"my multi message context"); // let mut csprng: ThreadRng = thread_rng(); // let mut keypairs: Vec<Keypair> = Vec::new(); // let mut pairs: Vec<(&PublicKey, &[u8])> = Vec::new(); // let mut priv_keys: Vec<&SecretKey> = Vec::new(); // for _i in 0..messages.len() { // let keypair: Keypair = Keypair::generate(&mut csprng); // keypairs.push(keypair); // } // for i in 0..keypairs.len() { // pairs.push((&keypairs[i].public, messages[i])); // priv_keys.push(&keypairs[i].secret); // } // let signature = sign_multimessage( // &mut ctx.to_owned(), // priv_keys.as_slice(), // pairs.as_slice(), // ).unwrap(); // assert!(verify_multimessage( // &mut ctx.to_owned(), // &signature, // pairs.as_slice() // ).is_ok()); // }