mirror of
https://github.com/lux-apps/papers.git
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zeekay
dd93cb41f7
Sweep across the non-Tier-1 paper catalogue (Tier-1 owned by parallel
agent and excluded). All 113 processed papers already had luxcover
wired up; this commit fixes 14 build breakers and produces fresh
PDFs across the catalogue.
Fixes:
- lux-blockchain-scaling-laws: em-dash inside lstlisting -> --
- lux-corona-pq: stale \input pointing at 03-the-corona-scheme renamed
to 03-the-corona-scheme (file already renamed on disk)
- lux-lattice-cryptography-primer: same Corona->Corona rename
- lux-formal-verification-lean4: Lean source uses unicode (×, ∀, ∃, ∈,
∧, ∨, ∩, ≠, ⟨, ⟩, ·, ¬) inside lstlistings. Added a literate map
so listings render the math glyphs without UTF-8 fault.
- lux-id-did-specification: ✓/✗ in tabular replaced with \ding{51}
/ \ding{55} (pifont). Added pifont package.
- lux-ntt-simd-implementation: middle-dot in Go assembly listings;
added literate {·}{\textperiodcentered}.
- lux-ntt-transform: μ, ×, –, — in regular text (no T1 fontenc).
Replaced with $\mu$/$\times$/--/--- via unicode->latex sweep.
- lux-perpetuals-derivatives, lux-quantum-consensus,
lux-quasar-consensus, lux-tee-computing-mesh: same unicode->latex
sweep across body text. Also fixed broken math segment
`$L_{avg} = 10$\times$$` -> `$L_{avg} = 10\times$`.
- lux-zchain: emoji glyphs in roadmap table replaced with
parenthetical text.
- lux-triple-proof-consensus: dropped duplicate \usepackage{geometry}
that clashed with luxcover (geometry option clash).
- pq: defined missing \Rq macro.
PDFs rebuilt for the full Tier-2/3 set.
Excluded (Tier-1, parallel agent): lp-073-pulsar, lp-stricte2epq,
dag-evm-formal, lp-010-quasar-stm-{3,4}, lp-020-quasar-consensus,
lux-institutional-custody, lux-nist-mptc-submission, pqsafe-il5,
pq-rns, plus shared/ and lps/.
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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Zach Kelling \\
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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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