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\section{Related Work}
\label{sec:related}
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\paragraph{Fraud Proofs and DA.}
Al-Bassam et al.~\cite{albassam2018fraud} introduced the data availability problem for
light clients and proposed erasure coding with fraud proofs. Their construction uses
one-dimensional coding with Merkle commitments. Lux-DAS extends this to 2D coding with
algebraic (KZG) commitments, eliminating the need for fraud proofs of incorrect coding.
\paragraph{Celestia.}
LazyLedger~\cite{albassam2019lazyledger}, now Celestia~\cite{celestia2023}, implements
a dedicated DA layer with 2D RS coding and Namespaced Merkle Trees. Lux-DAS differs in
using KZG commitments (constant-size proofs), appchain-scoped aggregation, and integration
with Beacon consensus.
\paragraph{EIP-4844 and Danksharding.}
Ethereum's blob transaction format~\cite{eip4844} introduces KZG-committed blobs but does
not implement DAS in the current protocol. Full Danksharding~\cite{dankrad2022danksharding}
proposes 2D DAS with distributed block building; Lux-DAS shares the 2D KZG approach but
adds multi-chain namespace support.
\paragraph{Avail.}
Avail~\cite{avail2023} provides a standalone DA layer with KZG commitments and application-
specific data namespaces. Lux-DAS integrates DA directly into the consensus layer rather
than operating as a separate chain.
\paragraph{EigenDA.}
EigenDA~\cite{eigenda2023} leverages restaked ETH for DA guarantees with KZG commitments
dispersed across operators. Lux-DAS achieves similar goals natively within the Lux validator
set without requiring a separate restaking layer.
\paragraph{Post-Quantum Considerations.}
KZG commitments rely on the hardness of discrete logarithm in pairing groups, which is
vulnerable to quantum attack. We note that the Lux-DAS commitment structure is modular:
replacing KZG with a hash-based or lattice-based polynomial commitment scheme (e.g.,
FRI~\cite{ben2018fast} or lattice-based schemes~\cite{peikert2019noninteractive}) requires
changing only the \texttt{CommitmentScheme} interface. We leave post-quantum DAS as future
work.
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