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href="/nomos/raw/sdp">NOMOS-SDP</a></li></ul></li></ul></nav></div></div></aside><main class="docMainContainer_gTbr"><div class="container padding-top--md padding-bottom--lg"><div class="row docItemGrid_SzoZ"><div class="docItemCol_F52z"><div class="docItemContainer_hrrU"><article><nav class="theme-doc-breadcrumbs breadcrumbsContainer_RLvU" aria-label="Breadcrumbs"><ul class="breadcrumbs" itemscope="" itemtype="https://schema.org/BreadcrumbList"><a class="breadcrumbs__item" href="/nomos"><span class="lsd-typography lsd-typography--body3">Home</span></a><li class="breadcrumbs__item"><span class="lsd-typography lsd-typography--body3 breadcrumbs__link">raw</span><meta itemprop="position" content="1"></li><li itemscope="" itemprop="itemListElement" itemtype="https://schema.org/ListItem" class="breadcrumbs__item breadcrumbs__item--active"><span class="lsd-typography lsd-typography--body3 breadcrumbs__link" itemprop="name">NOMOSDA-ENCODING</span><meta itemprop="position" content="2"></li></ul></nav><div class="theme-doc-markdown markdown"><header><h1>NOMOSDA-ENCODING</h1><div class="tocMobile_imaF"><div class="tocCollapsible_ROek theme-doc-toc-mobile tocMobile_ITEo"><button type="button" class="clean-btn tocCollapsibleButton_dxRj"><div></div><span class="lsd-typography lsd-typography--body2">On this page</span><svg width="14" height="14" viewBox="0 0 14 14" fill="none" xmlns="http://www.w3.org/2000/svg" class="lsd-icon lsd-icon--small lsd-icon--filled"><path d="M10.5 5.66125L9.6775 4.83875L7 7.51041L4.3225 4.83874L3.5 5.66125L7 9.16125L10.5 5.66125Z" fill="black"></path></svg></button></div></div></header><ul><li>Status: raw</li><li>Category:</li><li>Editor: Daniel Sanchez-Quiros &lt;<a href="mailto:danielsq@status.im" target="_blank" rel="noopener noreferrer">danielsq@status.im</a>&gt;</li><li>Contributors:<ul><li>Daniel Kashepava &lt;<a href="mailto:danielkashepava@status.im" target="_blank" rel="noopener noreferrer">danielkashepava@status.im</a>&gt;</li><li>Álvaro Castro-Castilla &lt;<a href="mailto:alvaro@status.im" target="_blank" rel="noopener noreferrer">alvaro@status.im</a>&gt;</li><li>Filip Dimitrijevic &lt;<a href="mailto:filip@status.im" target="_blank" rel="noopener noreferrer">filip@status.im</a>&gt;</li><li>Thomas Lavaur &lt;<a href="mailto:thomaslavaur@status.im" target="_blank" rel="noopener noreferrer">thomaslavaur@status.im</a>&gt;</li><li>Mehmet Gonen &lt;<a href="mailto:mehmet@status.im" target="_blank" rel="noopener noreferrer">mehmet@status.im</a>&gt;</li></ul></li></ul><h2 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="introduction">Introduction<a href="#introduction" class="hash-link" aria-label="Direct link to Introduction" title="Direct link to Introduction">​</a></h2><p>This document describes the encoding and verification processes of NomosDA, which is the data availability (DA) solution used by the Nomos blockchain. NomosDA provides an assurance that all data from Nomos blobs are accessible and verifiable by every network participant.</p><p>This document presents an implementation specification describing how:</p><ul><li>Encoders encode blobs they want to upload to the Data Availability layer.</li><li>Other nodes implement the verification of blobs that were already uploaded to DA.</li></ul><h2 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="definitions">Definitions<a href="#definitions" class="hash-link" aria-label="Direct link to Definitions" title="Direct link to Definitions">​</a></h2><ul><li><p><strong>Encoder</strong>: An encoder is any actor who performs the encoding process described in this document. This involves committing to the data, generating proofs, and submitting the result to the DA layer.</p><p> In the Nomos architecture, the rollup sequencer typically acts as the encoder, but the role is not exclusive and any actor in the DA layer can also act as encoders.</p></li><li><p><strong>Verifier</strong>: Verifies its portion of the distributed blob data as per the verification protocol. In the Nomos architecture, the DA nodes act as the verifiers.</p></li></ul><h2 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="overview">Overview<a href="#overview" class="hash-link" aria-label="Direct link to Overview" title="Direct link to Overview">​</a></h2><p>In the encoding stage, the encoder takes the DA parameters and the padded blob data and creates an initial matrix of data chunks. This matrix is expanded using Reed-Solomon coding and various commitments and proofs are created for the data.</p><p>When a verifier receives a sample, it verifies the data it receives from the encoder and broadcasts the information if the data is verified. Finally, the verifier stores the sample data for the required length of time.</p><h2 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="construction">Construction<a href="#construction" class="hash-link" aria-label="Direct link to Construction" title="Direct link to Construction">​</a></h2><p>The encoder and verifier use the <a href="https://www.notion.so/NomosDA-Cryptographic-Protocol-1fd261aa09df816fa97ac81304732e77?pvs=21" target="_blank" rel="noopener noreferrer">NomosDA cryptographic protocol</a> to carry out their respective functions. These functions are implemented as abstracted and configurable software entities that allow the original data to be encoded and verified via high-level operations.</p><h3 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="glossary">Glossary<a href="#glossary" class="hash-link" aria-label="Direct link to Glossary" title="Direct link to Glossary">​</a></h3><table><thead><tr><th>Name</th><th>Description</th><th>Representation</th></tr></thead><tbody><tr><td><code>Commitment</code></td><td>Commitment as per the <a href="https://www.notion.so/NomosDA-Cryptographic-Protocol-1fd261aa09df816fa97ac81304732e77?pvs=21" target="_blank" rel="noopener noreferrer">NomosDA Cryptographic Protocol</a></td><td><code>bytes</code></td></tr><tr><td><code>Proof</code></td><td>Proof as per the <a href="https://www.notion.so/NomosDA-Cryptographic-Protocol-1fd261aa09df816fa97ac81304732e77?pvs=21" target="_blank" rel="noopener noreferrer">NomosDA Cryptographic Protocol</a></td><td><code>bytes</code></td></tr><tr><td><code>ChunksMatrix</code></td><td>Matrix of chunked data. Each chunk is <strong>31 bytes.</strong> Row and Column sizes depend on the encoding necessities.</td><td><code>List[List[bytes]]</code></td></tr></tbody></table><h3 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="encoder">Encoder<a href="#encoder" class="hash-link" aria-label="Direct link to Encoder" title="Direct link to Encoder">​</a></h3><p>An encoder takes a set of parameters and the blob data, and creates a matrix of chunks that it uses to compute the necessary cryptographic data. It produces the set of Reed-Solomon (RS) encoded data, the commitments, and the proofs that are needed prior to <a href="https://www.notion.so/NomosDA-Dispersal-1fd261aa09df815288c9caf45ed72c95?pvs=21" target="_blank" rel="noopener noreferrer">dispersal</a>.</p><div class="wrapper_SWrM active_qZD5"><button class="fullscreenButton_Bocn lsd-icon-button lsd-icon-button--medium lsd-icon-button--outlined"><div class="icon_S7Kx m_thRi"><svg width="14" height="14" viewBox="0 0 14 14" fill="none" xmlns="http://www.w3.org/2000/svg" role="img"><path d="M1.75 2.917V5.25h1.167V2.917H5.25V1.75H2.917A1.17 1.17 0 0 0 1.75 2.917ZM2.917 8.75H1.75v2.333a1.17 1.17 0 0 0 1.167 1.167H5.25v-1.167H2.917V8.75Zm8.166 2.333H8.75v1.167h2.333a1.17 1.17 0 0 0 1.167-1.167V8.75h-1.167v2.333Zm0-9.333H8.75v1.167h2.333V5.25h1.167V2.917a1.17 1.17 0 0 0-1.167-1.167Z" fill="#fff"></path></svg></div></button></div><h4 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="encoding-process">Encoding Process<a href="#encoding-process" class="hash-link" aria-label="Direct link to Encoding Process" title="Direct link to Encoding Process">​</a></h4><p>The encoder executes the encoding process as follows:</p><ol><li><p>The encoder takes the following input parameters:</p><div class="language-python codeBlockContainer_EB2s codeBlockContainer_Ckt0 theme-code-block" style="--prism-color:#F8F8F2;--prism-background-color:rgba(var(--lsd-surface-secondary), 0.08)"><div class="codeBlockContent_ugSV"><pre tabindex="0" class="prism-code language-python codeBlock_TWhw thin-scrollbar"><code class="codeBlockLines_LDrR"><span class="token-line" style="color:#F8F8F2"><span class="token keyword" style="color:rgb(189, 147, 249);font-style:italic">class</span><span class="token plain"> </span><span class="token class-name">DAEncoderParams</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> column_count</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"> usize</span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> bytes_per_field_element</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"> usize</span><br></span></code></pre><div class="buttonGroup_Qu4e"><button type="button" aria-label="Copy code to clipboard" title="Copy" class="clean-btn"><span class="copyButtonIcons_an20" aria-hidden="true"><div class="icon_S7Kx m_thRi copyButtonIcon_ZL7v"><svg width="14" height="14" viewBox="0 0 14 14" fill="none" xmlns="http://www.w3.org/2000/svg" role="img"><path d="M2.917 12.833c-.321 0-.596-.114-.825-.343a1.121 1.121 0 0 1-.342-.823V3.5h1.167v8.167h6.416v1.166H2.917ZM5.25 10.5c-.32 0-.596-.114-.824-.343a1.121 1.121 0 0 1-.343-.824v-7c0-.32.115-.595.343-.824.229-.229.504-.343.824-.342h5.25c.32 0 .596.114.824.343.229.228.343.503.343.823v7c0 .321-.115.596-.343.825a1.121 1.121 0 0 1-.824.342H5.25Zm0-1.167h5.25v-7H5.25v7Z" fill="#fff"></path></svg></div></span></button></div></div></div><table><thead><tr><th>Name</th><th>Description</th><th>Representation</th></tr></thead><tbody><tr><td><code>column_count</code></td><td>The number of subnets available for dispersal in the system</td><td><code>usize</code>, <code>int</code> in Python</td></tr><tr><td><code>bytes_per_field_element</code></td><td>The amount of bytes per data chunk. This is set to 31 bytes. Each chunk has 31 bytes rather than 32 to ensure that the chunk value does not exceed the maximum value on the <a href="https://electriccoin.co/blog/new-snark-curve/" target="_blank" rel="noopener noreferrer">BLS12-381 elliptic curve</a>.</td><td><code>usize</code>, <code>int</code> in Python</td></tr></tbody></table></li><li><p>The encoder also includes the blob data to be encoded, which must be of a size that is a multiple of <code>bytes_per_field_element</code> bytes. Clients are responsible for padding the data so it fits this constraint.</p></li><li><p>The encoder splits the data into <code>bytes_per_field_element</code>-sized chunks. It also arranges these chunks into rows and columns, creating a matrix.
a. The amount of columns of the matrix needs to fit with the <code>column_count</code> parameter, taking into account the <code>rs_expansion_factor</code> (currently fixed to 2).
i. This means that the size of each row in this matrix is <code>(bytes_per_field_element*column_count)/rs_expansion_factor</code>.
b. The amount of rows depends on the size of the data.</p></li><li><p>The data is encoded as per <a href="https://www.notion.so/NomosDA-Cryptographic-Protocol-1fd261aa09df816fa97ac81304732e77?pvs=21" target="_blank" rel="noopener noreferrer">the cryptographic details</a>.</p></li><li><p>The encoder provides the encoded data set:</p><table><thead><tr><th>Name</th><th>Description</th><th>Representation</th></tr></thead><tbody><tr><td><code>data</code></td><td>Original data</td><td><code>bytes</code></td></tr><tr><td><code>chunked_data</code></td><td>Matrix before RS expansion</td><td><code>ChunksMatrix</code></td></tr><tr><td><code>extended_matrix</code></td><td>Matrix after RS expansion</td><td><code>ChunksMatrix</code></td></tr><tr><td><code>row_commitments</code></td><td>Commitments for each matrix row</td><td><code>List[Commitment]</code></td></tr><tr><td><code>combined_column_proofs</code></td><td>Proofs for each matrix column</td><td><code>List[Proof]</code></td></tr></tbody></table><div class="language-python codeBlockContainer_EB2s codeBlockContainer_Ckt0 theme-code-block" style="--prism-color:#F8F8F2;--prism-background-color:rgba(var(--lsd-surface-secondary), 0.08)"><div class="codeBlockContent_ugSV"><pre tabindex="0" class="prism-code language-python codeBlock_TWhw thin-scrollbar"><code class="codeBlockLines_LDrR"><span class="token-line" style="color:#F8F8F2"><span class="token keyword" style="color:rgb(189, 147, 249);font-style:italic">class</span><span class="token plain"> </span><span class="token class-name">EncodedData</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> data</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"> </span><span class="token builtin" style="color:rgb(189, 147, 249)">bytes</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> chunked_data</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"> ChunksMatrix</span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> extended_matrix</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"> ChunksMatrix</span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> row_commitments</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"> List</span><span class="token punctuation" style="color:rgb(248, 248, 242)">[</span><span class="token plain">Commitment</span><span class="token punctuation" style="color:rgb(248, 248, 242)">]</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> combined_column_proofs</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"> List</span><span class="token punctuation" style="color:rgb(248, 248, 242)">[</span><span class="token plain">Proof</span><span class="token punctuation" style="color:rgb(248, 248, 242)">]</span><br></span></code></pre><div class="buttonGroup_Qu4e"><button type="button" aria-label="Copy code to clipboard" title="Copy" class="clean-btn"><span class="copyButtonIcons_an20" aria-hidden="true"><div class="icon_S7Kx m_thRi copyButtonIcon_ZL7v"><svg width="14" height="14" viewBox="0 0 14 14" fill="none" xmlns="http://www.w3.org/2000/svg" role="img"><path d="M2.917 12.833c-.321 0-.596-.114-.825-.343a1.121 1.121 0 0 1-.342-.823V3.5h1.167v8.167h6.416v1.166H2.917ZM5.25 10.5c-.32 0-.596-.114-.824-.343a1.121 1.121 0 0 1-.343-.824v-7c0-.32.115-.595.343-.824.229-.229.504-.343.824-.342h5.25c.32 0 .596.114.824.343.229.228.343.503.343.823v7c0 .321-.115.596-.343.825a1.121 1.121 0 0 1-.824.342H5.25Zm0-1.167h5.25v-7H5.25v7Z" fill="#fff"></path></svg></div></span></button></div></div></div></li></ol><h4 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="encoder-limits">Encoder Limits<a href="#encoder-limits" class="hash-link" aria-label="Direct link to Encoder Limits" title="Direct link to Encoder Limits">​</a></h4><p>NomosDA does not impose a fixed limit on blob size at the encoding level. However, protocols that involve resource-intensive operations must include upper bounds to prevent abuse. In the case of NomosDA, blob size limits are expected to be enforced, as part of the protocol&#x27;s broader responsibility for resource management and fairness.</p><p>Larger blobs naturally result in higher computational and bandwidth costs, particularly for the encoder, who must compute a proof for each column. Without size limits, malicious clients could exploit the system by attempting to stream unbounded data to DA nodes. Since payment is provided before blob dispersal, DA nodes are protected from performing unnecessary work. This enables the protocol to safely accept very large blobs, as the primary computational cost falls on the encoder. The protocol can accommodate generous blob sizes in practice, while rejecting only absurdly large blobs, such as those exceeding 1 GB, to prevent denial-of-service attacks and ensure network stability.</p><p>To mitigate this, the protocol define acceptable blob size limits, and DA implementations enforce local mitigation strategies, such as flagging or blacklisting clients that violate these constraints.</p><h3 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="verifier">Verifier<a href="#verifier" class="hash-link" aria-label="Direct link to Verifier" title="Direct link to Verifier">​</a></h3><p>A verifier checks the proper encoding of data blobs it receives. A verifier executes the verification process as follows:</p><ol><li><p>The verifier receives a <code>DAShare</code> with the required verification data:</p><table><thead><tr><th>Name</th><th>Description</th><th>Representation</th></tr></thead><tbody><tr><td><code>column</code></td><td>Column chunks (31 bytes) from the encoded matrix</td><td><code>List[bytes]</code></td></tr><tr><td><code>column_idx</code></td><td>Column id (<code>0..2047</code>). It is directly related to the <code>subnetworks</code> in the <a href="https://www.notion.so/NomosDA-Network-Specification-1fd261aa09df81188e76cb083791252d?pvs=21" target="_blank" rel="noopener noreferrer">network specification</a>.</td><td><code>u16</code>, unsigned int of 16 bits. <code>int</code> in Python</td></tr><tr><td><code>combined_column_proof</code></td><td>Proof of the random linear combination of the column elements.</td><td><code>Proof</code></td></tr><tr><td><code>row_commitments</code></td><td>Commitments for each matrix row</td><td><code>List[Commitment]</code></td></tr><tr><td><code>blob_id</code></td><td>This is computed as the hash (<strong>blake2b</strong>) of <code>row_commitments</code></td><td><code>bytes</code></td></tr></tbody></table></li><li><p>Upon receiving the above data it verifies the column data as per the <a href="https://www.notion.so/NomosDA-Cryptographic-Protocol-1fd261aa09df816fa97ac81304732e77?pvs=21" target="_blank" rel="noopener noreferrer">cryptographic details</a>. If the verification is successful, the node triggers the <a href="https://www.notion.so/NomosDA-Subnetwork-Replication-1fd261aa09df811d93f8c6280136bfbb?pvs=21" target="_blank" rel="noopener noreferrer">replication protocol</a> and stores the blob.</p><div class="language-python codeBlockContainer_EB2s codeBlockContainer_Ckt0 theme-code-block" style="--prism-color:#F8F8F2;--prism-background-color:rgba(var(--lsd-surface-secondary), 0.08)"><div class="codeBlockContent_ugSV"><pre tabindex="0" class="prism-code language-python codeBlock_TWhw thin-scrollbar"><code class="codeBlockLines_LDrR"><span class="token-line" style="color:#F8F8F2"><span class="token keyword" style="color:rgb(189, 147, 249);font-style:italic">class</span><span class="token plain"> </span><span class="token class-name">DAShare</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> column</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"> Column</span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> column_idx</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"> u16</span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> combined_column_proof</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"> Proof</span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> row_commitments</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"> List</span><span class="token punctuation" style="color:rgb(248, 248, 242)">[</span><span class="token plain">Commitment</span><span class="token punctuation" style="color:rgb(248, 248, 242)">]</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain" style="display:inline-block"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> </span><span class="token keyword" style="color:rgb(189, 147, 249);font-style:italic">def</span><span class="token plain"> </span><span class="token function" style="color:rgb(80, 250, 123)">blob_id</span><span class="token punctuation" style="color:rgb(248, 248, 242)">(</span><span class="token plain">self</span><span class="token punctuation" style="color:rgb(248, 248, 242)">)</span><span class="token plain"> </span><span class="token operator">-</span><span class="token operator">&gt;</span><span class="token plain"> BlobId</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> hasher </span><span class="token operator">=</span><span class="token plain"> blake2b</span><span class="token punctuation" style="color:rgb(248, 248, 242)">(</span><span class="token plain">digest_size</span><span class="token operator">=</span><span class="token number">32</span><span class="token punctuation" style="color:rgb(248, 248, 242)">)</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> </span><span class="token keyword" style="color:rgb(189, 147, 249);font-style:italic">for</span><span class="token plain"> c </span><span class="token keyword" style="color:rgb(189, 147, 249);font-style:italic">in</span><span class="token plain"> self</span><span class="token punctuation" style="color:rgb(248, 248, 242)">.</span><span class="token plain">row_commitments</span><span class="token punctuation" style="color:rgb(248, 248, 242)">:</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> hasher</span><span class="token punctuation" style="color:rgb(248, 248, 242)">.</span><span class="token plain">update</span><span class="token punctuation" style="color:rgb(248, 248, 242)">(</span><span class="token builtin" style="color:rgb(189, 147, 249)">bytes</span><span class="token punctuation" style="color:rgb(248, 248, 242)">(</span><span class="token plain">c</span><span class="token punctuation" style="color:rgb(248, 248, 242)">)</span><span class="token punctuation" style="color:rgb(248, 248, 242)">)</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> </span><span class="token keyword" style="color:rgb(189, 147, 249);font-style:italic">return</span><span class="token plain"> hasher</span><span class="token punctuation" style="color:rgb(248, 248, 242)">.</span><span class="token plain">digest</span><span class="token punctuation" style="color:rgb(248, 248, 242)">(</span><span class="token punctuation" style="color:rgb(248, 248, 242)">)</span><br></span></code></pre><div class="buttonGroup_Qu4e"><button type="button" aria-label="Copy code to clipboard" title="Copy" class="clean-btn"><span class="copyButtonIcons_an20" aria-hidden="true"><div class="icon_S7Kx m_thRi copyButtonIcon_ZL7v"><svg width="14" height="14" viewBox="0 0 14 14" fill="none" xmlns="http://www.w3.org/2000/svg" role="img"><path d="M2.917 12.833c-.321 0-.596-.114-.825-.343a1.121 1.121 0 0 1-.342-.823V3.5h1.167v8.167h6.416v1.166H2.917ZM5.25 10.5c-.32 0-.596-.114-.824-.343a1.121 1.121 0 0 1-.343-.824v-7c0-.32.115-.595.343-.824.229-.229.504-.343.824-.342h5.25c.32 0 .596.114.824.343.229.228.343.503.343.823v7c0 .321-.115.596-.343.825a1.121 1.121 0 0 1-.824.342H5.25Zm0-1.167h5.25v-7H5.25v7Z" fill="#fff"></path></svg></div></span></button></div></div></div></li></ol><h3 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="verification-logic">Verification Logic<a href="#verification-logic" class="hash-link" aria-label="Direct link to Verification Logic" title="Direct link to Verification Logic">​</a></h3><div class="wrapper_SWrM active_qZD5"><button class="fullscreenButton_Bocn lsd-icon-button lsd-icon-button--medium lsd-icon-button--outlined"><div class="icon_S7Kx m_thRi"><svg width="14" height="14" viewBox="0 0 14 14" fill="none" xmlns="http://www.w3.org/2000/svg" role="img"><path d="M1.75 2.917V5.25h1.167V2.917H5.25V1.75H2.917A1.17 1.17 0 0 0 1.75 2.917ZM2.917 8.75H1.75v2.333a1.17 1.17 0 0 0 1.167 1.167H5.25v-1.167H2.917V8.75Zm8.166 2.333H8.75v1.167h2.333a1.17 1.17 0 0 0 1.167-1.167V8.75h-1.167v2.333Zm0-9.333H8.75v1.167h2.333V5.25h1.167V2.917a1.17 1.17 0 0 0-1.167-1.167Z" fill="#fff"></path></svg></div></button></div><h2 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="details">Details<a href="#details" class="hash-link" aria-label="Direct link to Details" title="Direct link to Details">​</a></h2><p>The encoder and verifier processes described above make use of a variety of cryptographic functions to facilitate the correct verification of column data by verifiers. These functions rely on primitives such as polynomial commitments and Reed-Solomon erasure codes, the details of which are outside the scope of this document. These details, as well as introductions to the cryptographic primitives being used, can be found in the NomosDA Cryptographic Protocol:</p><p><a href="https://www.notion.so/NomosDA-Cryptographic-Protocol-1fd261aa09df816fa97ac81304732e77?pvs=21" target="_blank" rel="noopener noreferrer">NomosDA Cryptographic Protocol</a></p><h2 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="references">References<a href="#references" class="hash-link" aria-label="Direct link to References" title="Direct link to References">​</a></h2><ul><li>Encoder Specification: <a href="https://github.com/logos-co/nomos-specs/blob/master/da/encoder.py" target="_blank" rel="noopener noreferrer">GitHub/encoder.py</a></li><li>Verifier Specification: <a href="https://github.com/logos-co/nomos-specs/blob/master/da/verifier.py" target="_blank" rel="noopener noreferrer">GitHub/verifier.py</a></li><li>Cryptographic protocol: <a href="https://www.notion.so/NomosDA-Cryptographic-Protocol-1fd261aa09df816fa97ac81304732e77?pvs=21" target="_blank" rel="noopener noreferrer">NomosDA Cryptographic Protocol</a></li></ul><h2 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="copyright">Copyright<a href="#copyright" class="hash-link" aria-label="Direct link to Copyright" title="Direct link to Copyright">​</a></h2><p>Copyright and related rights waived via <a href="https://creativecommons.org/publicdomain/zero/1.0/" target="_blank" rel="noopener noreferrer">CC0</a>.</p></div></article><nav class="pagination-nav docusaurus-mt-lg" aria-label="Docs pages"><a class="pagination-nav__link pagination-nav__link--prev" href="/nomos/deprecated/claro"><div class="icon_S7Kx m_thRi"><svg width="14" height="14" viewBox="0 0 14 14" fill="none" xmlns="http://www.w3.org/2000/svg" role="img"><path d="M11.667 6.417h-7.1l3.261-3.261L7 2.333 2.333 7 7 11.667l.823-.823-3.255-3.26h7.099V6.417Z" fill="#fff"></path></svg></div><span 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