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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.
73 lines
3.9 KiB
TeX
73 lines
3.9 KiB
TeX
\documentclass[11pt]{article}
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\usepackage{../shared/luxcover}
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\usepackage{amsmath, amssymb, amsthm}
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\usepackage{mathtools}
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\usepackage{bm}
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\usepackage{graphicx}
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\usepackage{booktabs}
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\usepackage{hyperref}
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\usepackage{enumitem}
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\usepackage{algorithm}
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\usepackage{algpseudocode}
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\usepackage{listings}
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\usepackage{xcolor}
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\hypersetup{colorlinks=true,linkcolor=black,citecolor=blue,urlcolor=blue}
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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}{Definition}
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\title{LSS: A Universal Lifecycle Framework\\for Threshold Cryptographic Protocols\\\large{Dynamic share lifecycle for ECDSA, FROST/Lens, and lattice/Pulsar schemes}}
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\author{
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Vishnu J. Seesahai\thanks{Corresponding author: [email protected]}
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\quad
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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{2024}
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\begin{document}
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\luxcoverpage
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\begin{abstract}
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\noindent Lux is not merely adding post-quantum signatures to a chain; it defines a hybrid finality architecture for DAG-native consensus, with protocol-agnostic threshold lifecycle, post-quantum threshold sealing, and cross-chain propagation of Horizon finality. LSS is the protocol-agnostic lifecycle framework that powers that systems layer.
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We present \textbf{LSS} (Linear Shamir Secret Sharing), a universal dynamic-resharing extension for threshold cryptographic protocols. LSS is \emph{not} a signature scheme; it is the lifecycle / orchestration framework that manages share generations, snapshot history, rollback, dealer/coordinator role separation, and live-resharing wire protocol --- across multiple threshold-kernel families.
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The principal innovation is coordinator-driven verifiable resharing via Joint Verifiable Secret Sharing (JVSS), enabling transition from $(t, n)$ to $(t', n \pm k)$ without reconstructing the master key or interrupting signing operations. LSS solves three operational challenges that the underlying signature schemes leave open:
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(1)~\emph{dynamic resharing} --- live expansion and contraction of the signing group without downtime or key reconstruction;
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(2)~\emph{automated fault tolerance} --- node eviction, state rollback to previously certified shard generations, and persistence-backed recovery;
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(3)~\emph{multi-kernel adaptation} --- a unified adapter pattern that gives the same lifecycle to ECDSA-CMP, FROST/Schnorr, and lattice threshold schemes.
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The framework's adapters cover three kernel families:
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\begin{itemize}
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\item \texttt{lss\_cmp.go}: ECDSA-CMP adapter (Protocol~I localized nonce blinding, Protocol~II collaborative nonce blinding; sub-25ms signing).
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\item \texttt{lss\_lens.go}: classical curve threshold via Lens, replacing the placeholder \texttt{lss\_frost.go} stub.
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\item \texttt{lss\_pulsar.go}: lattice threshold via Pulsar; Generation/RollbackFrom/KeyEraID lineage; activation cert under unchanged group public key; 10/10 acceptance tests pass.
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\end{itemize}
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The classical foundations are HJKY proactive secret sharing, Desmedt--Jajodia secret redistribution, and Wong--Wang--Wing verifiable redistribution. The novel work is the unified adapter architecture: \emph{one lifecycle framework, multiple threshold kernels}.
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Production-deployed in the Lux Teleport omnichain bridge securing cross-chain assets across 270+ connected blockchains, and adopted by Quasar consensus for dynamic post-quantum threshold finality with rotating validator sets.
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\end{abstract}
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\tableofcontents
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%% +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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\input{sections/01-introduction}
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\input{sections/02-preliminaries}
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\input{sections/03-lss-protocol}
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\input{sections/04-multi-chain-adaptation}
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\input{sections/05-post-quantum-extension}
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\input{sections/06-security-analysis}
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\input{sections/07-performance}
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\input{sections/08-deployment}
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\input{sections/99-conclusion}
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\end{document}
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