
Briefing
The core research problem in scalable blockchain architecture is the Data Availability Problem, where light nodes must verify that a block producer has published all transaction data without downloading the entire block. This paper introduces a new, modular Data Availability Sampling (DAS) paradigm that decouples the cryptographic commitment from the data coding process, committing only to the uncoded data while generating coded samples on the fly using Random Linear Network Coding (RLNC). This foundational breakthrough eliminates the constraints of fixed-rate erasure codes, leading to significantly more expressive samples, which fundamentally raises the security floor for light nodes and enables a path toward ultra-scalable, decentralized data layers.

Context
Prior to this work, established Data Availability Sampling (DAS) methods relied on fixed-rate erasure codes, such as Reed-Solomon, where the cryptographic commitment was applied to the encoded codewords. This theoretical limitation restricted light nodes to sampling from a predetermined, fixed set of coded symbols, inherently constraining the sampling space and limiting the certainty of data availability assurance. The prevailing challenge was how to achieve robust security guarantees for light nodes without imposing prohibitive storage and bandwidth costs on the network.

Analysis
The core mechanism, termed RLNC-DAS, shifts the commitment to the original, uncoded data using a Homomorphic Vector Commitment, such as a Pedersen commitment. This separation allows the system to leverage Random Linear Network Coding (RLNC) for sampling. Conceptually, instead of sampling a pre-coded piece of data, the verifier sends a random vector of coefficients, prompting the claimer to dynamically generate a coded linear combination of the original data vectors. This dynamic generation means the sampling space is exponentially larger, and each resulting sample is a much stronger proof of data availability, as it probabilistically covers a far greater portion of the original data.

Parameters
- RLNC Sample Equivalence ∞ Approximately 73 samples ∞ The number of fixed-rate Reed-Solomon samples needed to achieve the same certainty as one RLNC-DAS sample.
- Failure Probability ∞ 2-256 ∞ The target soundness failure rate for the RLNC-DAS scheme, aligning with standard cryptographic security levels.

Outlook
This research opens new avenues for optimizing the data layer of modular blockchains, specifically by enabling a reduction in the required redundancy rate while maintaining cryptographic security. The immediate next step involves formalizing the integration of RLNC-DAS into production-grade data availability layers, potentially unlocking real-world applications in 3-5 years where light clients can securely process blocks orders of magnitude larger than currently possible. The theory establishes a new baseline for data availability soundness, suggesting future research will focus on optimizing the computational trade-offs between dynamic coding and commitment generation.

Verdict
The modular RLNC-DAS framework provides a superior cryptographic primitive for data availability, fundamentally advancing the security and efficiency of all future scalable blockchain architectures.
