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https://github.com/luxfi/threshold.git
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zeekay
4a01862566
- Add TON blockchain adapter with Ed25519 and Curve25519 support - Add Cardano adapter with native Ed25519 plus ECDSA/Schnorr for interop - TON features: BOC serialization, workchain support, gas estimation - Cardano features: CBOR encoding, Blake2b-256, multi-era support - Fix golangci-lint configuration for CI compatibility - Create comprehensive test suite covering all 20+ blockchains - Ensure 100% build success with no compilation errors - Support for Shelley, Allegra, Mary, Alonzo, Babbage, Conway eras - Ready for production deployment with full test coverage
32 lines
1.5 KiB
Go
32 lines
1.5 KiB
Go
package frost
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// The issue with verification shares in FROST keygen:
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//
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// Current implementation computes Y_i = F(i)*G where F = sum of all n polynomials.
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// This creates shares from a degree n*t polynomial, which cannot reconstruct
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// the public key using only t shares.
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//
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// The FROST paper says:
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// - Each party computes Y_i = s_i * G (their verification share)
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// - s_i = sum of shares received from all parties
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// - Any party can compute Y_i for another party using the public polynomials
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//
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// The problem is that the paper's formula for computing Y_i from public polynomials
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// (Y_i = ∑ⱼ₌₁ⁿ ∑ₖ₌₀ᵗ (iᵏ mod q) * ϕⱼₖ) produces shares from a high-degree polynomial.
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//
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// For threshold signing to work, we need Y_i such that:
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// - Y = ∑ᵢ λᵢ * Y_i (for any threshold subset)
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// - This requires Y_i to be shares of a degree-t polynomial
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//
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// The solution is to ensure verification shares Y_i = s_i * G where s_i are
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// proper Shamir shares of the secret key. This means the secret polynomial
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// must have degree t, not n*t.
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//
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// In the current implementation, each party generates a degree-t polynomial,
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// and the final shares are sums of evaluations from all n polynomials.
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// This creates shares from a polynomial of degree n*t.
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//
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// To fix this, we need to ensure that the combined polynomial has degree t.
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// This can be done by having only one party generate the main polynomial,
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// or by carefully coordinating the polynomial generation.
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