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zooqueen
ebe2ebcb3c
Ringtail (Boschini et al., ePrint 2024/1113) is third-party prior art; Lux's Corona (Ring-LWE = Module-LWE rank-1) builds on it; Pulsar is Module-LWE rank-k. Retired the conflated boschini2024corona/corona2024/coronago/... bib keys to the single canonical ringtail/corona/pulsar/magnetar keys, rewrote \cite + \bibitem by context, and fixed 'Pulsar (Ring-LWE)' mislabels (Corona where corona.metal/ single-ring/Ringtail-derived; Pulsar where Module-LWE rank-k/ML-DSA). Cryptographer-led.
44 lines
2.3 KiB
TeX
44 lines
2.3 KiB
TeX
\documentclass[11pt]{article}
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\usepackage{../shared/luxcover}
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\usepackage{amsmath, amssymb, amsthm, algpseudocode, graphicx, hyperref, booktabs}
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\usepackage{algorithm}
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\newtheorem{theorem}{Theorem}
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\newtheorem{proposition}{Proposition}
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\newtheorem{lemma}{Lemma}
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\newtheorem{corollary}{Corollary}
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\newtheorem{definition}{Definition}
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\title{M-Chain: Decentralized Multi-Party Computation Custody with Quantum-Safe Threshold Signatures}
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\author{
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Zach Kelling\thanks{Corresponding author: [email protected]}
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\quad
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Vishnu Seesahai\\
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\textit{Lux Industries, Inc.}\\
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\texttt{[email protected]}
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}
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\date{2023}
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\begin{document}
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\luxcoverpage
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\begin{abstract}
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We present \textbf{M-Chain}, a purpose-built blockchain for decentralized multi-party computation (MPC) custody of cross-chain assets. M-Chain eliminates single points of failure in traditional bridge architectures by implementing on-chain threshold signature coordination, autonomous slashing for non-performing signers, and quantum-resistant dual-signature protocols. The system supports multiple threshold schemes (CGG21 for ECDSA, MuSig2 for Bitcoin Taproot, FROST for EdDSA, and Corona for post-quantum security) with sub-200ms signature generation latency. M-Chain introduces the \textbf{SwapSigTx} transaction type, providing cryptographic proof that a threshold quorum has authorized a cross-chain transfer, replacing centralized swap databases with auditable on-chain logic. Economic incentives align validator behavior through per-signature rewards and time-based slashing penalties. We demonstrate custody of Bitcoin, Ethereum, and XRPL assets with $>$99.9\% uptime and zero security incidents across 10,000+ daily swaps processing \$20M+ in volume.
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\end{abstract}
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\input{sections/01-introduction}
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\input{sections/02-system-architecture}
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\input{sections/03-threshold-signature-schemes}
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\input{sections/04-swapsigtx-on-chain-signature-proof}
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\input{sections/05-dual-signature-quantum-security}
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\input{sections/06-economic-model-and-incentives}
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\input{sections/07-cross-chain-swap-lifecycle}
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\input{sections/08-performance-evaluation}
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\input{sections/09-security-considerations}
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\input{sections/10-implementation}
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\input{sections/11-future-work}
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\input{sections/12-concrete-security-analysis-2025-revision}
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\input{sections/99-conclusion}
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\end{document}
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