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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/.
78 lines
2.9 KiB
TeX
78 lines
2.9 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{hyperref}
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\usepackage{booktabs}
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\usepackage{enumitem}
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\usepackage{algorithm}
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\usepackage{algpseudocode}
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\usepackage{xcolor}
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\usepackage{tikz}
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\usetikzlibrary{arrows.meta,positioning,shapes.geometric,fit}
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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{Post-Quantum Security for\\Digital Securities Infrastructure}
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\author{
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Zach Kelling\thanks{Corresponding author: [email protected]}\\
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\textit{Lux Industries, Inc.}\\
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\texttt{[email protected]}
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}
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\date{2024}
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\begin{document}
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\luxcoverpage
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\begin{abstract}
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Digital securities have multi-decade lifetimes: a 30-year bond issued
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today must remain unforgeable in 2056. Current blockchain infrastructure
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relies on ECDSA (secp256k1) and Ed25519, both broken in polynomial time
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by Shor's algorithm on a cryptographically relevant quantum computer
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(CRQC). We present the post-quantum security architecture of the Lux
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network, which deploys three NIST-standardized post-quantum algorithms
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as native EVM precompiles: ML-KEM (FIPS~203) for key encapsulation,
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ML-DSA (FIPS~204) for digital signatures, and SLH-DSA (FIPS~205) for
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stateless hash-based signatures. The precompiles are activated at
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genesis block~0, making post-quantum cryptography available from chain
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launch rather than requiring a hard fork. We describe the hybrid
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classical/post-quantum migration path: during the transition period,
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transactions carry both an ECDSA signature and an ML-DSA signature;
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the chain accepts the transaction if either signature verifies,
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enabling gradual migration without breaking existing tooling. We prove
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that the hybrid scheme achieves ``best of both worlds'' security:
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it is unforgeable as long as \emph{either} the classical or the
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post-quantum assumption holds. We give gas cost benchmarks for all
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three algorithms at NIST security levels 2, 3, and~5, and explain
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why securities infrastructure specifically---with its long asset
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lifetimes and regulatory record-keeping requirements---must adopt
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post-quantum cryptography before the quantum threat materializes.
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\end{abstract}
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\tableofcontents
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\newpage
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%% =====================================================================
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\input{sections/01-introduction}
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\input{sections/02-post-quantum-algorithms}
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\input{sections/03-evm-precompile-integration}
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\input{sections/04-hybrid-migration-path}
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\input{sections/05-why-securities-must-act-now}
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\input{sections/06-performance}
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\input{sections/07-formal-verification}
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\input{sections/99-conclusion}
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\end{document}
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