1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663
//! Key share of Threshold Signature Scheme (TSS)
//!
//! TSS protocols often share the same structure of key share. Having a separate crate with definition of the
//! key share struct help reusing the code, keeping different implementations compatible and interopable.
//!
//! The crate provides [`DirtyCoreKeyShare`] that contains data such as: secret share, other signers commitments,
//! public key and etc.
//!
//! [`DirtyCoreKeyShare`] may contain any data, not necessarily consistent. TSS protocol implementations typically
//! don't want to handle inconsistent key shares and would rather assume that it's valid. [`Valid<T>`](Valid)
//! is a type-guard stating that the value `T` it holds was validated. So, `Valid<DirtyCoreKeyShare>` (or
//! [`CoreKeyShare`] type alias) can be used to express that only valid key shares are accepted.
#![allow(non_snake_case)]
#![deny(missing_docs, clippy::unwrap_used, clippy::expect_used, clippy::panic)]
#![forbid(unused_crate_dependencies)]
#![cfg_attr(docsrs, feature(doc_auto_cfg))]
#![no_std]
#[cfg(feature = "std")]
extern crate std;
extern crate alloc;
use alloc::vec::Vec;
use core::ops;
use generic_ec::{serde::CurveName, Curve, NonZero, Point, Scalar, SecretScalar};
use generic_ec_zkp::polynomial::lagrange_coefficient;
#[cfg(feature = "serde")]
mod serde_fix;
#[cfg(feature = "spof")]
pub mod trusted_dealer;
mod utils;
mod valid;
pub use self::valid::{Valid, Validate, ValidateError, ValidateFromParts};
/// Core key share
///
/// Core key share is type alias to [`DirtyCoreKeyShare`] wrapped into [`Valid<T>`](Valid), meaning
/// that the key share has been validated that:
/// * Number of signers `n` doesn't overflow [`u16::MAX`], and that n >= 2
/// * Signer index `i` is less than `n`
/// * Signer public commitment matches the secret share
/// * Threshold value is within range `2 <= t <= n`
/// * All signers commitments sum up to public key
///
/// It's impossible to obtain [`CoreKeyShare`] for the key share that doesn't meet above requirements.
///
/// Only immutable access to the key share is provided. If you need to change content of the key share,
/// you need to obtain dirty key share via [`Valid::into_inner`], modify the key share, and validate it
/// again to obtain `CoreKeyShare`.
pub type CoreKeyShare<E> = Valid<DirtyCoreKeyShare<E>>;
/// Public Key Info
///
/// Type alias to [`DirtyKeyInfo`] wrapped into [`Valid<T>`](Valid), meaning that the key info
/// has been validated that:
/// * Number of signers `n` doesn't overflow [`u16::MAX`], and that n >= 2
/// * Threshold value is within range `2 <= t <= n`
/// * All signers commitments sum up to public key
///
/// It's impossible to obtain [`KeyInfo`] that doesn't meet above requirements.
///
/// Only immutable access to the key info is provided. If you need to change content of the key info,
/// you need to obtain dirty key info via [`Valid::into_inner`], modify the key info, and validate it
/// again to obtain [`KeyInfo`].
pub type KeyInfo<E> = Valid<DirtyKeyInfo<E>>;
#[cfg(feature = "serde")]
use serde_with::As;
/// Dirty (unvalidated) core key share
///
/// Key share can be either polynomial or additive:
/// * Polynomial key share:
/// * Supports any threshold $2 \le t \le n$
/// * All signers co-share a secret polynomial $F(x)$ with degree $deg(F) = t-1$
/// * Signer with index $i$ (index is in range $0 \le i < n$) holds secret share $x_i = F(I_i)$
/// * Shared secret key is $\sk = F(0)$.
///
/// If key share is polynomial, [`vss_setup`](DirtyKeyInfo::vss_setup) fiels should be `Some(_)`.
///
/// $I_j$ mentioned above is defined in [`VssSetup::I`]. Reasonable default would be $I_j = j+1$.
/// * Additive key share:
/// * Always non-threshold (i.e. $t=n$)
/// * Signer with index $i$ holds a secret share $x_i$
/// * All signers share a secret key that is sum of all secret shares $\sk = \sum_{j \in \[n\]} x_j$.
///
/// Advantage of additive share is that DKG protocol that yields additive share is a bit more efficient.
///
/// # HD wallets support
/// If `hd-wallets` feature is enabled, key share provides basic support of deterministic key derivation:
/// * [`chain_code`](DirtyKeyInfo::chain_code) field is added. If it's `Some(_)`, then the key is HD-capable.
/// `(shared_public_key, chain_code)` is extended public key of the wallet (can be retrieved via
/// [extended_public_key](DirtyCoreKeyShare::extended_public_key) method).
/// * Setting `chain_code` to `None` disables HD wallets support for the key
/// * Convenient methods are provided such as [derive_child_public_key](DirtyCoreKeyShare::derive_child_public_key)
///
/// # Serialization format via `serde`
/// We make our best effort to keep serialization format the same between the versions (even with breaking changes),
/// and so far we've never introduced breaking change into the serialization format. This ensures that newer versions
/// of library are able to deserialize the key shares produced by the old version version of the library.
///
/// It's unlikely, but at some point, we might introduce a breaking change into the serialization format. In this case,
/// we'll announce it and publish the migration instructions.
///
/// Not every serde backend supports features that we use to ensure backwards compatibility. We require that field names
/// are being serialized, that helps us adding new fields as the library grows. We strongly advise using either
/// [`serde_json`](https://docs.rs/serde_json/), if verbose/human-readable format is needed, or
/// [`ciborium`](https://docs.rs/ciborium/latest/ciborium/), if you'd like to opt for binary format. Other serialization
/// backends are not tested and may not work or stop working at some point (like [bincode](https://github.com/LFDT-Lockness/cggmp21/issues/89) did)
/// or be not backwards compatible between certain versions.
///
/// If you need the smallest size of serialized key share, we advise implementing serialization manually (all fields of
/// the key share are public!).
#[derive(Clone)]
pub struct DirtyCoreKeyShare<E: Curve> {
/// Index of local party in key generation protocol
pub i: u16,
/// Public key info
pub key_info: DirtyKeyInfo<E>,
/// Secret share $x_i$
pub x: NonZero<SecretScalar<E>>,
}
#[cfg(feature = "serde")]
impl<E: Curve> serde::Serialize for DirtyCoreKeyShare<E> {
fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>
where
S: serde::Serializer,
{
// See [`crate::serde_fix`] module docs
let Self {
i,
key_info:
DirtyKeyInfo {
curve,
shared_public_key,
public_shares,
vss_setup,
#[cfg(feature = "hd-wallets")]
chain_code,
},
x,
} = &self;
serde_fix::ser::CoreKeyShare {
i,
curve,
shared_public_key,
public_shares,
vss_setup,
x,
#[cfg(feature = "hd-wallets")]
chain_code,
}
.serialize(serializer)
}
}
#[cfg(feature = "serde")]
impl<'de, E: Curve> serde::Deserialize<'de> for DirtyCoreKeyShare<E> {
fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>
where
D: serde::Deserializer<'de>,
{
// See [`crate::serde_fix`] module docs
let serde_fix::de::CoreKeyShare {
curve,
i,
shared_public_key,
public_shares,
vss_setup,
x,
#[cfg(feature = "hd-wallets")]
chain_code,
} = serde::Deserialize::deserialize(deserializer)?;
Ok(Self {
i,
key_info: DirtyKeyInfo {
curve,
shared_public_key,
public_shares,
vss_setup,
#[cfg(feature = "hd-wallets")]
chain_code,
},
x,
})
}
}
/// Public Key Info
///
/// Contains public information about the TSS key, including shared public key, commitments to
/// secret shares and etc.
#[derive(Clone, Debug)]
#[cfg_attr(feature = "serde", derive(serde::Serialize, serde::Deserialize))]
#[cfg_attr(feature = "serde", serde(bound = ""))]
#[cfg_attr(feature = "udigest", derive(udigest::Digestable))]
pub struct DirtyKeyInfo<E: Curve> {
// NOTE: on changing any of `serde` attributes, remember to change
// `crate::serde_fix` as well!
//
/// Guard that ensures curve consistency for deseraization
#[cfg_attr(feature = "udigest", udigest(as = utils::encoding::CurveName))]
pub curve: CurveName<E>,
/// Public key corresponding to shared secret key. Corresponds to _X_ in paper.
#[cfg_attr(feature = "serde", serde(with = "As::<generic_ec::serde::Compact>"))]
pub shared_public_key: NonZero<Point<E>>,
/// Public shares of all signers sharing the key
///
/// `public_shares[i]` corresponds to public share (or public commitment) of $\ith$ party.
#[cfg_attr(
feature = "serde",
serde(with = "As::<Vec<generic_ec::serde::Compact>>")
)]
pub public_shares: Vec<NonZero<Point<E>>>,
/// Verifiable secret sharing setup, present if key was generated using VSS scheme
#[cfg_attr(
feature = "serde",
serde(default, skip_serializing_if = "Option::is_none")
)]
pub vss_setup: Option<VssSetup<E>>,
/// Chain code associated with the key, if HD wallets support was enabled
#[cfg(feature = "hd-wallets")]
#[cfg_attr(
feature = "serde",
serde(default),
serde(skip_serializing_if = "Option::is_none"),
serde(with = "As::<Option<utils::HexOrBin>>")
)]
#[cfg_attr(feature = "udigest", udigest(as = Option<udigest::Bytes>))]
pub chain_code: Option<slip_10::ChainCode>,
}
#[derive(Debug, Clone, PartialEq, Eq)]
#[cfg_attr(feature = "serde", derive(serde::Serialize, serde::Deserialize))]
#[cfg_attr(feature = "serde", serde(bound = ""))]
#[cfg_attr(feature = "udigest", derive(udigest::Digestable))]
/// Secret sharing setup of a key
pub struct VssSetup<E: Curve> {
/// Threshold parameter
///
/// Specifies how many signers are required to perform signing
pub min_signers: u16,
/// Key shares indexes
///
/// `I[i]` corresponds to key share index of a $\ith$ signer
#[cfg_attr(
feature = "serde",
serde(with = "As::<Vec<generic_ec::serde::PreferCompact>>")
)]
pub I: Vec<NonZero<Scalar<E>>>,
}
impl<E: Curve> Validate for DirtyCoreKeyShare<E> {
type Error = InvalidCoreShare;
fn is_valid(&self) -> Result<(), Self::Error> {
let party_public_share = self
.public_shares
.get(usize::from(self.i))
.ok_or(InvalidShareReason::PartyIndexOutOfBounds)?;
if *party_public_share != Point::generator() * &self.x {
return Err(InvalidShareReason::PartySecretShareDoesntMatchPublicShare.into());
}
self.key_info.is_valid()?;
Ok(())
}
}
impl<E: Curve> ValidateFromParts<(u16, DirtyKeyInfo<E>, NonZero<SecretScalar<E>>)>
for DirtyCoreKeyShare<E>
{
fn validate_parts(
(i, key_info, x): &(u16, DirtyKeyInfo<E>, NonZero<SecretScalar<E>>),
) -> Result<(), Self::Error> {
let party_public_share = key_info
.public_shares
.get(usize::from(*i))
.ok_or(InvalidShareReason::PartyIndexOutOfBounds)?;
if *party_public_share != Point::generator() * x {
return Err(InvalidShareReason::PartySecretShareDoesntMatchPublicShare.into());
}
Ok(())
}
fn from_parts((i, key_info, x): (u16, DirtyKeyInfo<E>, NonZero<SecretScalar<E>>)) -> Self {
Self { i, key_info, x }
}
}
impl<E: Curve> Validate for DirtyKeyInfo<E> {
type Error = InvalidCoreShare;
fn is_valid(&self) -> Result<(), Self::Error> {
match &self.vss_setup {
Some(vss_setup) => {
validate_vss_key_info(self.shared_public_key, &self.public_shares, vss_setup)
}
None => validate_non_vss_key_info(self.shared_public_key, &self.public_shares),
}
}
}
#[allow(clippy::nonminimal_bool)]
fn validate_vss_key_info<E: Curve>(
shared_public_key: NonZero<Point<E>>,
public_shares: &[NonZero<Point<E>>],
vss_setup: &VssSetup<E>,
) -> Result<(), InvalidCoreShare> {
let n: u16 = public_shares
.len()
.try_into()
.map_err(|_| InvalidShareReason::NOverflowsU16)?;
if n < 2 {
return Err(InvalidShareReason::TooFewParties.into());
}
let t = vss_setup.min_signers;
if !(2 <= t) {
return Err(InvalidShareReason::ThresholdTooSmall.into());
}
if !(t <= n) {
return Err(InvalidShareReason::ThresholdTooLarge.into());
}
if vss_setup.I.len() != usize::from(n) {
return Err(InvalidShareReason::ILen.into());
}
// Now we need to check that public key shares indeed form a public key.
// We do that in two steps:
// 1. Take `t` first public key shares, derive a public key and compare
// with public key specified in key share
// 2. Using first `t` public key shares, derive other `n-t` public shares
// and compare with the ones specified in the key share
let first_t_shares = &public_shares[0..usize::from(t)];
let indexes = &vss_setup.I[0..usize::from(t)];
let interpolation = |x: Scalar<E>| {
let lagrange_coefficients = (0..usize::from(t))
.map(|j| lagrange_coefficient(x, j, indexes))
.collect::<Option<Vec<_>>>()
.ok_or(InvalidShareReason::INotPairwiseDistinct)?;
Ok::<_, InvalidCoreShare>(Scalar::multiscalar_mul(
lagrange_coefficients.into_iter().zip(first_t_shares),
))
};
let reconstructed_pk = interpolation(Scalar::zero())?;
if reconstructed_pk != shared_public_key {
return Err(InvalidShareReason::SharesDontMatchPublicKey.into());
}
for (&j, public_share_j) in vss_setup.I.iter().zip(public_shares).skip(t.into()) {
if interpolation(j.into())? != *public_share_j {
return Err(InvalidShareReason::SharesDontMatchPublicKey.into());
}
}
Ok(())
}
fn validate_non_vss_key_info<E: Curve>(
shared_public_key: NonZero<Point<E>>,
public_shares: &[NonZero<Point<E>>],
) -> Result<(), InvalidCoreShare> {
let n: u16 = public_shares
.len()
.try_into()
.map_err(|_| InvalidShareReason::NOverflowsU16)?;
if n < 2 {
return Err(InvalidShareReason::TooFewParties.into());
}
if shared_public_key != public_shares.iter().sum::<Point<E>>() {
return Err(InvalidShareReason::SharesDontMatchPublicKey.into());
}
Ok(())
}
impl<E: Curve> DirtyKeyInfo<E> {
/// Returns share preimage associated with j-th signer
///
/// * For additive shares, share preimage is defined as `j+1`
/// * For VSS-shares, share preimage is scalar $I_j$ such that $x_j = F(I_j)$ where
/// $F(x)$ is polynomial co-shared by the signers and $x_j$ is secret share of j-th
/// signer
///
/// Note: if you have no idea what it is, probably you don't need it.
pub fn share_preimage(&self, j: u16) -> Option<NonZero<Scalar<E>>> {
if let Some(vss_setup) = self.vss_setup.as_ref() {
vss_setup.I.get(usize::from(j)).copied()
} else if usize::from(j) < self.public_shares.len() {
#[allow(clippy::expect_used)]
Some(
NonZero::from_scalar(Scalar::one() + Scalar::from(j))
.expect("1 + i_u16 is guaranteed to be nonzero"),
)
} else {
None
}
}
}
#[cfg(feature = "hd-wallets")]
impl<E: Curve> DirtyKeyInfo<E> {
/// Checks whether the key is HD-capable
pub fn is_hd_wallet(&self) -> bool {
self.chain_code.is_some()
}
/// Returns extended public key, if HD support was enabled
pub fn extended_public_key(&self) -> Option<slip_10::ExtendedPublicKey<E>> {
Some(slip_10::ExtendedPublicKey {
public_key: self.shared_public_key.into_inner(),
chain_code: self.chain_code?,
})
}
/// Derives child public key, if it's HD key
pub fn derive_child_public_key<ChildIndex>(
&self,
derivation_path: impl IntoIterator<Item = ChildIndex>,
) -> Result<
slip_10::ExtendedPublicKey<E>,
HdError<<ChildIndex as TryInto<slip_10::NonHardenedIndex>>::Error>,
>
where
slip_10::NonHardenedIndex: TryFrom<ChildIndex>,
{
let epub = self.extended_public_key().ok_or(HdError::DisabledHd)?;
slip_10::try_derive_child_public_key_with_path(
&epub,
derivation_path.into_iter().map(|index| index.try_into()),
)
.map_err(HdError::InvalidPath)
}
}
#[cfg(feature = "hd-wallets")]
impl<E: Curve> DirtyCoreKeyShare<E> {
/// Checks whether the key is HD-capable
pub fn is_hd_wallet(&self) -> bool {
(**self).is_hd_wallet()
}
/// Returns extended public key, if HD support was enabled
pub fn extended_public_key(&self) -> Option<slip_10::ExtendedPublicKey<E>> {
(**self).extended_public_key()
}
/// Derives child public key, if it's HD key
pub fn derive_child_public_key<ChildIndex>(
&self,
derivation_path: impl IntoIterator<Item = ChildIndex>,
) -> Result<
slip_10::ExtendedPublicKey<E>,
HdError<<ChildIndex as TryInto<slip_10::NonHardenedIndex>>::Error>,
>
where
slip_10::NonHardenedIndex: TryFrom<ChildIndex>,
{
(**self).derive_child_public_key(derivation_path)
}
}
impl<E: Curve> CoreKeyShare<E> {
/// Returns amount of key co-holders
pub fn n(&self) -> u16 {
#[allow(clippy::expect_used)]
self.public_shares
.len()
.try_into()
.expect("valid key share is guaranteed to have amount of signers fitting into u16")
}
/// Returns threshold
///
/// Threshold is an amount of signers required to cooperate in order to sign a message
/// and/or generate presignature
pub fn min_signers(&self) -> u16 {
self.vss_setup
.as_ref()
.map(|s| s.min_signers)
.unwrap_or_else(|| self.n())
}
/// Returns public key shared by signers
pub fn shared_public_key(&self) -> NonZero<Point<E>> {
self.shared_public_key
}
}
impl<E: Curve> ops::Deref for DirtyCoreKeyShare<E> {
type Target = DirtyKeyInfo<E>;
fn deref(&self) -> &Self::Target {
&self.key_info
}
}
impl<E: Curve> AsRef<DirtyKeyInfo<E>> for DirtyCoreKeyShare<E> {
fn as_ref(&self) -> &DirtyKeyInfo<E> {
&self.key_info
}
}
impl<E: Curve> AsRef<CoreKeyShare<E>> for CoreKeyShare<E> {
fn as_ref(&self) -> &CoreKeyShare<E> {
self
}
}
/// Error indicating that key share is not valid
#[derive(Debug, displaydoc::Display)]
#[cfg_attr(feature = "std", derive(thiserror::Error))]
#[displaydoc("invalid core key share")]
pub struct InvalidCoreShare(#[cfg_attr(feature = "std", source)] InvalidShareReason);
#[derive(Debug, displaydoc::Display)]
#[cfg_attr(feature = "std", derive(thiserror::Error))]
enum InvalidShareReason {
#[displaydoc("`n` overflows u16")]
NOverflowsU16,
#[displaydoc("amount of parties `n` is less than 2: n < 2")]
TooFewParties,
#[displaydoc("party secret share doesn't match its public share: public_shares[i] != G x")]
PartyIndexOutOfBounds,
#[displaydoc("party secret share doesn't match its public share: public_shares[i] != G x")]
PartySecretShareDoesntMatchPublicShare,
#[displaydoc(
"list of public shares doesn't match shared public key: \
`public_shares.sum() != shared_public_key`"
)]
SharesDontMatchPublicKey,
#[displaydoc("threshold value is too small (can't be less than 2)")]
ThresholdTooSmall,
#[displaydoc("threshold valud cannot exceed amount of signers")]
ThresholdTooLarge,
#[displaydoc("mismatched length of I: I.len() != n")]
ILen,
#[displaydoc("indexes of shares in I are not pairwise distinct")]
INotPairwiseDistinct,
}
impl From<InvalidShareReason> for InvalidCoreShare {
fn from(err: InvalidShareReason) -> Self {
Self(err)
}
}
/// Error related to HD key derivation
#[derive(Debug, displaydoc::Display)]
#[cfg_attr(feature = "std", derive(thiserror::Error))]
pub enum HdError<E> {
/// HD derivation is disabled for the key
DisabledHd,
/// derivation path is not valid
InvalidPath(#[cfg_attr(feature = "std", source)] E),
}
impl<T> From<ValidateError<T, InvalidCoreShare>> for InvalidCoreShare {
fn from(err: ValidateError<T, InvalidCoreShare>) -> Self {
err.into_error()
}
}
/// Reconstructs a secret key from set of at least
/// [`min_signers`](CoreKeyShare::min_signers) key shares
///
/// Requires at least [`min_signers`](CoreKeyShare::min_signers) distinct key
/// shares. Returns error if input is invalid.
///
/// Note that, normally, secret key is not supposed to be reconstructed, and key
/// shares should never be at one place. This basically defeats purpose of MPC and
/// creates single point of failure/trust.
#[cfg(feature = "spof")]
pub fn reconstruct_secret_key<E: Curve>(
key_shares: &[impl AsRef<CoreKeyShare<E>>],
) -> Result<SecretScalar<E>, ReconstructError> {
if key_shares.is_empty() {
return Err(ReconstructErrorReason::NoKeyShares.into());
}
let t = key_shares[0].as_ref().min_signers();
let pk = key_shares[0].as_ref().shared_public_key;
let vss = &key_shares[0].as_ref().vss_setup;
let X = &key_shares[0].as_ref().public_shares;
if key_shares[1..].iter().any(|s| {
t != s.as_ref().min_signers()
|| pk != s.as_ref().shared_public_key
|| *vss != s.as_ref().vss_setup
|| *X != s.as_ref().public_shares
}) {
return Err(ReconstructErrorReason::DifferentKeyShares.into());
}
if key_shares.len() < usize::from(t) {
return Err(ReconstructErrorReason::TooFewKeyShares {
len: key_shares.len(),
t,
}
.into());
}
if let Some(VssSetup { I, .. }) = vss {
let S = key_shares.iter().map(|s| s.as_ref().i).collect::<Vec<_>>();
let I = crate::utils::subset(&S, I).ok_or(ReconstructErrorReason::Subset)?;
let lagrange_coefficients =
(0..).map(|j| generic_ec_zkp::polynomial::lagrange_coefficient_at_zero(j, &I));
let mut sk = lagrange_coefficients
.zip(key_shares)
.try_fold(Scalar::zero(), |acc, (lambda_j, key_share_j)| {
Some(acc + lambda_j? * &key_share_j.as_ref().x)
})
.ok_or(ReconstructErrorReason::Interpolation)?;
Ok(SecretScalar::new(&mut sk))
} else {
let mut sk = key_shares
.iter()
.map(|s| &s.as_ref().x)
.fold(Scalar::zero(), |acc, x_j| acc + x_j);
Ok(SecretScalar::new(&mut sk))
}
}
/// Error indicating that [key reconstruction](reconstruct_secret_key) failed
#[cfg(feature = "spof")]
#[derive(Debug, displaydoc::Display)]
#[cfg_attr(feature = "std", derive(thiserror::Error))]
#[displaydoc("key reconstruction failed")]
pub struct ReconstructError(#[cfg_attr(feature = "std", source)] ReconstructErrorReason);
#[cfg(feature = "spof")]
#[derive(Debug, displaydoc::Display)]
#[cfg_attr(feature = "std", derive(thiserror::Error))]
enum ReconstructErrorReason {
#[displaydoc("no key shares provided")]
NoKeyShares,
#[displaydoc(
"provided key shares doesn't seem to share \
the same key or belong to the same generation"
)]
DifferentKeyShares,
#[displaydoc(
"expected at least `t={t}` key shares, but {len} \
key shares were provided"
)]
TooFewKeyShares { len: usize, t: u16 },
#[displaydoc("subset function returned error (seems like a bug)")]
Subset,
#[displaydoc("interpolation failed (seems like a bug)")]
Interpolation,
}
#[cfg(feature = "spof")]
impl From<ReconstructErrorReason> for ReconstructError {
fn from(err: ReconstructErrorReason) -> Self {
Self(err)
}
}