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Bylines, paper authorship, correspondence addresses and the founder blurb under each post named an individual. They name the organisation that published the work instead: the brand on posts and pages, the research byline on papers, and research@ in place of a personal address. Both are what these repositories already used elsewhere — nothing new was coined. Co-authors are untouched. Where a paper named someone else alongside, they stay named; only the one byline changed. Bibliography entries, running heads, PDF metadata and affiliations move with it, so a citation still resolves to whoever the cited paper names. Sample and fixture data uses the placeholder name these tests already use elsewhere, so no assertion changed meaning.
79 lines
2.7 KiB
TeX
79 lines
2.7 KiB
TeX
\documentclass[11pt,a4paper]{article}
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\usepackage{../shared/luxcover}
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\usepackage[utf8]{inputenc}
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\usepackage[T1]{fontenc}
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\usepackage{amsmath,amssymb,amsfonts,amsthm}
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\usepackage{graphicx}
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\usepackage{hyperref}
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\usepackage{algorithm}
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\usepackage{algpseudocode}
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\usepackage{xcolor}
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\usepackage{booktabs}
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\usepackage{enumitem}
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\usepackage{tikz}
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\usepackage{tabularx}
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\usepackage{mathtools}
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\hypersetup{colorlinks=true,linkcolor=black,citecolor=blue,urlcolor=blue}
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\newtheorem{theorem}{Theorem}[section]
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\newtheorem{lemma}[theorem]{Lemma}
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\newtheorem{corollary}[theorem]{Corollary}
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\newtheorem{proposition}[theorem]{Proposition}
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\newtheorem{definition}{Definition}[section]
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\newtheorem{remark}{Remark}[section]
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\title{\textbf{Threshold Cryptography\\for Validator Networks}}
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\author{
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Lux Research \\
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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 a threshold cryptographic framework for blockchain validator networks in
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which no individual validator holds a complete signing key. The framework employs
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CGGMP21~\cite{canetti2021uc} for ECDSA threshold signing (secp256k1 compatible),
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FROST~\cite{komlo2020frost} for EdDSA and BLS threshold signing, and a distributed
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key generation (DKG) protocol that creates key shares without a trusted dealer. We
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address the practical gap between threshold signature theory and production validator
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infrastructure: key resharing for validator set changes without exposing the master
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key, recovery from corrupted shares without key reconstruction, and slashing-compatible
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fault attribution. We prove that a compromised validator in a $(t, n)$ threshold
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configuration reveals zero information about the master key, provide concrete benchmarks
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for MPC signing latency as a function of threshold size (4.2\,ms for $t=3$ of $n=5$,
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18.7\,ms for $t=7$ of $n=10$), and describe the integration with the Lux consensus
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engine for MPC-based block signing.
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\textbf{Keywords}: threshold signatures, MPC, CGGMP21, FROST, DKG, validator security,
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blockchain consensus
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\end{abstract}
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\tableofcontents
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\newpage
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%% ========================================================================
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%% 1. INTRODUCTION
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%% ========================================================================
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\input{sections/01-introduction}
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\input{sections/02-problem-single-key-validator-architectur}
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\input{sections/03-distributed-key-generation}
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\input{sections/04-cggmp21-threshold-ecdsa}
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\input{sections/05-frost-threshold-schnorr-and-bls-signatur}
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\input{sections/06-key-resharing-and-recovery}
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\input{sections/07-slashing-safe-fault-attribution}
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\input{sections/08-application-to-lux-validator-network}
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\input{sections/09-benchmarks}
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\input{sections/10-related-work}
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\input{sections/99-conclusion}
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\end{document}
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