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/.
88 lines
3.4 KiB
TeX
88 lines
3.4 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{amsmath,amssymb,amsthm}
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\usepackage{algorithm,algorithmic}
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\usepackage{graphicx}
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\usepackage{hyperref}
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\usepackage{booktabs}
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\usepackage{listings}
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\input{../shared/lstlang}
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\usepackage{xcolor}
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\usepackage{tikz}
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\usetikzlibrary{arrows.meta,positioning}
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% Code listing style
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\lstdefinelanguage{Solidity}{
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keywords={pragma, contract, function, returns, memory, view, pure, public, private, internal, external, uint256, uint, bytes, address, mapping, require, assert, revert, for, if, else, while, return, new, this, assembly, let, mstore, add, mul, mod, sub},
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keywordstyle=\color{blue}\bfseries,
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ndkeywords={true, false, null, undefined},
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ndkeywordstyle=\color{darkgray}\bfseries,
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identifierstyle=\color{black},
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sensitive=false,
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comment=[l]{//},
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morecomment=[s]{/*}{*/},
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commentstyle=\color{purple}\ttfamily,
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stringstyle=\color{red}\ttfamily,
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morestring=[b]',
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morestring=[b]''
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}
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\lstset{
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language=Solidity,
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backgroundcolor=\color{gray!5},
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basicstyle=\footnotesize\ttfamily,
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breakatwhitespace=false,
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breaklines=true,
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captionpos=b,
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keepspaces=true,
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numbers=left,
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numbersep=5pt,
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showspaces=false,
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showstringspaces=false,
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showtabs=false,
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tabsize=2,
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frame=single
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}
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% Theorem environments
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\newtheorem{theorem}{Theorem}
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\newtheorem{lemma}[theorem]{Lemma}
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\newtheorem{proposition}[theorem]{Proposition}
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\newtheorem{corollary}[theorem]{Corollary}
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\newtheorem{definition}[theorem]{Definition}
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\newtheorem{remark}[theorem]{Remark}
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\title{NTT Transform: Enabling Post-Quantum Cryptography on EVM\\with 85\% Gas Reduction}
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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{2025}
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\begin{document}
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\luxcoverpage
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\begin{abstract}
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The advent of quantum computing poses an existential threat to current blockchain cryptographic systems, necessitating the rapid adoption of post-quantum algorithms. We present a highly optimized Number Theoretic Transform (NTT) implementation for the Ethereum Virtual Machine (EVM) that achieves an 85\% gas reduction for polynomial operations---from 24M gas to 3.6M gas for FALCON-512 signature verification. Our implementation enables practical deployment of NIST-standardized post-quantum algorithms including ML-DSA, FALCON, and SLH-DSA (FIPS 205, formerly SPHINCS+) on EVM-compatible chains. Through innovative Yul optimization techniques and memory layout strategies, we demonstrate that post-quantum cryptography is viable on current blockchain infrastructure without requiring protocol-level changes. This work represents the first production-ready NTT implementation for EVM, paving the way for quantum-resistant blockchain systems while maintaining backward compatibility with existing smart contract ecosystems.
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\end{abstract}
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\input{sections/01-introduction}
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\input{sections/02-number-theoretic-transform-background}
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\input{sections/03-ntt-algorithm}
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\input{sections/04-evm-implementation}
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\input{sections/05-gas-optimization-journey}
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\input{sections/06-supported-post-quantum-algorithms}
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\input{sections/07-use-cases}
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\input{sections/08-benchmark-results}
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\input{sections/09-comparison-with-other-chains}
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\input{sections/10-security-analysis}
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\input{sections/11-eip-proposal-status}
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\input{sections/12-future-optimizations}
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\input{sections/13-conclusion}
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\input{sections/99-acknowledgments}
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\end{document}
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