Threshold Signature Schemes for Java
This library is used as the core cryptographic engine in TKeeper, a threshold signature service based on FROST and GG20.
| Module | Purpose |
|---|---|
| frost | FROST (Schnorr-based) t-of-n signatures |
| gg20 | GG20 (ECDSA-based) t-of-n signatures with MtA/Paillier core |
| ecies | Threshold Elliptic Curve Integrated Encryption Scheme |
| ed25519 | Curve operations and helpers for Ed25519 (used in FROST) |
| secp256k1 | Curve operations for secp256k1 (used in GG20 and optional FROST) |
| bigint | JNA bindings to libgmp-sec (constant-time big integer ops) |
| sodium | JNA bindings to libsodium (Ed25519 point ops and hashing) |
| Topic | Mitigation |
|---|---|
| TSSHOCK / α-shuffle | TLV encoding of all transcripts (Bytes.encode) |
| c-guess / short challenge | 256-bit challenges: statistical soundness ≥ 2⁻²⁵⁶ |
| β-leak / BitForge #2 | All β, ρ, σ, τ, r ← randomZnStar, enforced gcd = 1 |
| Weak modulus / BitForge #1 | Paillier modulus verified with PoK(N) + small factor sieve |
| Rogue-key in FROST | Requires Schnorr PoP(Yᵢ) before aggregation |
| Equivocation on B (broadcast list) | Echo-broadcast with hash verification; mismatch ⇒ abort |
Threat model: up to t–1 active insiders, adaptive corruptions.
Physical side channels (EM, power) and RNG compromise are not in scope,
but constant-time code paths are used throughout to reduce leak surface.
- All secret scalar operations use
_Secvariants in thebigintmodule (modPowSec,modInverseSec,sqrSec, etc.) - Curve operations use constant-time primitives via libsodium and libsecp256k1
- No sensitive values are processed with variable-time arithmetic