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aria-label="Breadcrumbs"><ul class="breadcrumbs" itemscope="" itemtype="https://schema.org/BreadcrumbList"><a class="breadcrumbs__item" href="/codex"><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">CODEX-ERASUE-CODING</span><meta itemprop="position" content="2"></li></ul></nav><div class="theme-doc-markdown markdown"><header><h1>CODEX-ERASUE-CODING</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>Editor:</li></ul><h2 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="abstract">Abstract<a href="#abstract" class="hash-link" aria-label="Direct link to Abstract" title="Direct link to Abstract">​</a></h2><p>This specification describes the erasure coding technique used by Codex clients.
A Codex client will encode a dataset before it is stored on the network.</p><h2 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="background">Background<a href="#background" class="hash-link" aria-label="Direct link to Background" title="Direct link to Background">​</a></h2><p>The Codex protocol uses storage proofs to verify whether a storage provider (SP) is storing a certain dataset.
Before a dataset is retrieved on the network,
SPs must agree to store the dataset for a certain period of time.
When a storage request is active,
erasure coding helps ensure the dataset is retrievable from the network.
This is achieved by the dataset that is chunked,
which is restored in retrieval by erasure coding.
When data blocks are abandoned by storage providers,
the requester can be assured of data retrievability.</p><h2 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="specification">Specification<a href="#specification" class="hash-link" aria-label="Direct link to Specification" title="Direct link to Specification">​</a></h2><p>The keywords “MUST”, “MUST NOT”, “REQUIRED”, “SHALL”, “SHALL NOT”,
“SHOULD”, “SHOULD NOT”, “RECOMMENDED”, “MAY”, and
“OPTIONAL” in this document are to be interpreted as described in <a href="https://www.ietf.org/rfc/rfc2119.txt" target="_blank" rel="noopener noreferrer">2119</a>.</p><p>A client SHOULD perform the erasure encoding locally before providing a dataset to the network.
During validation, nodes will conduct error correction and decoding based on the erasure coding technique known to the network.
Datasets using encodings not recognized by the network MAY be ignored during decoding and
validation by other nodes in the network.</p><p>The dataset SHOULD be split into data chunks represented by <code>k</code>, e.g. <span class="math math-inline"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo stretchy="false">(</mo><msub><mi>k</mi><mn>1</mn></msub><mo separator="true">,</mo><msub><mi>k</mi><mn>2</mn></msub><mo separator="true">,</mo><msub><mi>k</mi><mn>3</mn></msub><mo separator="true">,</mo><mo>…</mo><mo separator="true">,</mo><msub><mi>k</mi><mi>n</mi></msub><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">(k_1, k_2, k_3, \ldots, k_{n})</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em"></span><span class="mopen">(</span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03148em">k</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em"><span style="top:-2.55em;margin-left:-0.0315em;margin-right:0.05em"><span class="pstrut" style="height:2.7em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em"><span></span></span></span></span></span></span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03148em">k</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em"><span style="top:-2.55em;margin-left:-0.0315em;margin-right:0.05em"><span class="pstrut" style="height:2.7em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em"><span></span></span></span></span></span></span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03148em">k</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em"><span style="top:-2.55em;margin-left:-0.0315em;margin-right:0.05em"><span class="pstrut" style="height:2.7em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">3</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em"><span></span></span></span></span></span></span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em"></span><span class="minner">…</span><span class="mspace" style="margin-right:0.1667em"></span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.1667em"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03148em">k</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.1514em"><span style="top:-2.55em;margin-left:-0.0315em;margin-right:0.05em"><span class="pstrut" style="height:2.7em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">n</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em"><span></span></span></span></span></span></span><span class="mclose">)</span></span></span></span></span>.
Each chunk <code>k</code> MUST be encoded into <code>n</code> blocks, using an erasure encoding technique like the Reed Solomon algorithm.
Including a set of parity blocks that MUST be generated,
represented by <code>m</code>.
All node roles on the Codex network use the <a href="https://github.com/catid/leopard" target="_blank" rel="noopener noreferrer">Leopard Codec</a>.</p><p>Below is the encoding process:</p><ol><li>Prepare the dataset for the marketplace using erasure encoding.</li><li>Derive a manifest CID from the root encoded blocks</li><li>Error correction by validator nodes once the storage contract begins</li><li>Decode data back to the original data.</li></ol><h3 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="encoding">Encoding<a href="#encoding" class="hash-link" aria-label="Direct link to Encoding" title="Direct link to Encoding">​</a></h3><p>A client MAY prepare a dataset locally before making the request to the network.
The data chunks, <code>k</code>, MUST be the same size, if not,
the smaller chunk MAY be padded with empty data.</p><p>The data blocks are encoded based on the following parameters:</p><div class="language-js 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-js codeBlock_TWhw thin-scrollbar"><code class="codeBlockLines_LDrR"><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">struct encodingParms </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 literal-property property">ecK</span><span class="token operator">:</span><span class="token plain"> int</span><span class="token punctuation" style="color:rgb(248, 248, 242)">,</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// Number of data blocks (K)</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> </span><span class="token literal-property property">ecM</span><span class="token operator">:</span><span class="token plain"> int</span><span class="token punctuation" style="color:rgb(248, 248, 242)">,</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// Number of parity blocks (M)</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> </span><span class="token literal-property property">rounded</span><span class="token operator">:</span><span class="token plain"> int</span><span class="token punctuation" style="color:rgb(248, 248, 242)">,</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// Dataset rounded to multiple of (K)</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> </span><span class="token literal-property property">steps</span><span class="token operator">:</span><span class="token plain"> int</span><span class="token punctuation" style="color:rgb(248, 248, 242)">,</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// Number of encoding iterations (steps)</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> </span><span class="token literal-property property">blocksCount</span><span class="token operator">:</span><span class="token plain"> int</span><span class="token punctuation" style="color:rgb(248, 248, 242)">,</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// Total blocks after encoding</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> </span><span class="token literal-property property">strategy</span><span class="token operator">:</span><span class="token plain"> </span><span class="token keyword" style="color:rgb(189, 147, 249);font-style:italic">enum</span><span class="token punctuation" style="color:rgb(248, 248, 242)">,</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// Indexing strategy used</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"></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></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><p>After the erasure coding process,
a protected manifest SHOULD be generated for the dataset, which would store the CID of the root Merkle tree.
The content of the protected manifest below, see <a href="/codex/raw/manifest">CODEX-MANIFEST</a> for more information:</p><div class="language-js 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-js codeBlock_TWhw thin-scrollbar"><code class="codeBlockLines_LDrR"><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"> syntax </span><span class="token operator">=</span><span class="token plain"> </span><span class="token string" style="color:rgb(255, 121, 198)">&quot;proto3&quot;</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"> message verifiable </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"> string verifyRoot </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">1</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// Root of verification tree with CID</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> repeated string slot_roots </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">2</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// List Individual slot roots with CID</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> uint32 cellSize </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">3</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// Size of verification cells</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> string verifiableStrategy </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">4</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// Strategy for verification</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> </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"> message </span><span class="token maybe-class-name">ErasureInfo</span><span class="token plain"> </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"> optional uint32 ecK </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">1</span><span class="token punctuation" style="color:rgb(248, 248, 242)">;</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// number of encoded blocks</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> optional uint32 ecM </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">2</span><span class="token punctuation" style="color:rgb(248, 248, 242)">;</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// number of parity blocks</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> optional bytes originalTreeCid </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">3</span><span class="token punctuation" style="color:rgb(248, 248, 242)">;</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// cid of the original dataset</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> optional uint32 originalDatasetSize </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">4</span><span class="token punctuation" style="color:rgb(248, 248, 242)">;</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// size of the original dataset</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> optional </span><span class="token maybe-class-name">VerificationInformation</span><span class="token plain"> verification </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">5</span><span class="token punctuation" style="color:rgb(248, 248, 242)">;</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// verification information</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> </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"> message </span><span class="token maybe-class-name">Manifest</span><span class="token plain"> </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"> optional bytes treeCid </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">1</span><span class="token punctuation" style="color:rgb(248, 248, 242)">;</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// cid (root) of the tree</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> optional uint32 blockSize </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">2</span><span class="token punctuation" style="color:rgb(248, 248, 242)">;</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// size of a single block</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> optional uint64 datasetSize </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">3</span><span class="token punctuation" style="color:rgb(248, 248, 242)">;</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// size of the dataset</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> optional codec</span><span class="token operator">:</span><span class="token plain"> </span><span class="token maybe-class-name">MultiCodec</span><span class="token plain"> </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">4</span><span class="token punctuation" style="color:rgb(248, 248, 242)">;</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// Dataset codec</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> optional hcodec</span><span class="token operator">:</span><span class="token plain"> </span><span class="token maybe-class-name">MultiCodec</span><span class="token plain"> </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">5</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// Multihash codec</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> optional version</span><span class="token operator">:</span><span class="token plain"> </span><span class="token maybe-class-name">CidVersion</span><span class="token plain"> </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">6</span><span class="token punctuation" style="color:rgb(248, 248, 242)">;</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// Cid version</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> optional </span><span class="token maybe-class-name">ErasureInfo</span><span class="token plain"> erasure </span><span class="token operator">=</span><span class="token plain"> </span><span class="token number">7</span><span class="token punctuation" style="color:rgb(248, 248, 242)">;</span><span class="token plain"> </span><span class="token comment" style="color:rgb(98, 114, 164)">// erasure coding info</span><span class="token plain"></span><br></span><span class="token-line" style="color:#F8F8F2"><span class="token plain"> </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></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><p>After the encoding process,
is ready to be stored on the network via the <a href="/codex/raw/marketplace">CODEX-MARKETPLACE</a>.
The Merkle tree root SHOULD be included in the manifest so other nodes are able to locate and
reconstruct a dataset from the erasure encoded blocks.</p><h3 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="data-repair">Data Repair<a href="#data-repair" class="hash-link" aria-label="Direct link to Data Repair" title="Direct link to Data Repair">​</a></h3><p>Storage providers may have periods during a storage contract where they are not storing the data.
A validator node MAY store the <code>treeCid</code> from the <code>Manifest</code> to locate all the data blocks and
reconstruct the merkle tree.
When a missing branch of the tree is not retrievable from an SP, data repair will be REQUIRED.
The validator will open a request for a new SP to reconstruct the Merkle tree and
store the missing data blocks.
The validator role is described in the <a href="/codex/raw/marketplace">CODEX-MARKETPLACE</a> specification.</p><h3 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="decode-data">Decode Data<a href="#decode-data" class="hash-link" aria-label="Direct link to Decode Data" title="Direct link to Decode Data">​</a></h3><p>During dataset retrieval, a node will use the <code>treeCid</code> to locate the data blocks.
The number of retrieved blocks by the node MUST be greater than <code>k</code>.
If less than <code>k</code>, the node MAY not be able to reconstruct the dataset.
The node SHOULD request missing data chunks from the network and
wait until the threshold is reached.</p><h2 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="security-considerations">Security Considerations<a href="#security-considerations" class="hash-link" aria-label="Direct link to Security Considerations" title="Direct link to Security Considerations">​</a></h2><h3 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="adversarial-attack">Adversarial Attack<a href="#adversarial-attack" class="hash-link" aria-label="Direct link to Adversarial Attack" title="Direct link to Adversarial Attack">​</a></h3><p>An adversarial storage provider can remove only the first element from more than half of the block,
and the slot data can no longer be recovered from the data that the host stores.
For example, with data blocks of size 1TB, erasure coded into 256 data and parity shards.
An adversary could strategically remove 129 bytes, and
the data can no longer be fully recovered with the erasure-coded data that is present on the host.</p><p>The RECOMMENDED solution should perform checks on entire shards to protect against adversarial erasure.
In the Merkle storage proofs, the entire shard SHOULD be hashed,
then that hash is checked against the Merkle proof.
Effectively, the block size for Merkle proofs should equal the shard size of the erasure coding interleaving.
Hashing large amounts of data will be expensive to perform in an SNARK, which is used to compress proofs in size in Codex.</p><h3 class="anchor anchorWithHideOnScrollNavbar_WYt5" id="data-encryption">Data Encryption<a href="#data-encryption" class="hash-link" aria-label="Direct link to Data Encryption" title="Direct link to Data Encryption">​</a></h3><p>If data is not encrypted before entering the encoding process, nodes, including storage providers,
MAY be able to access the data.
This may lead to privacy concerns and the misuse of data.</p><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><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><a href="https://github.com/catid/leopard" target="_blank" rel="noopener noreferrer">Leapard Codec</a></li><li><a href="/codex/raw/manifest">CODEX-MANIFEST</a></li><li><a href="/codex/raw/marketplace">CODEX-MARKETPLACE</a></li></ul></div></article><nav class="pagination-nav docusaurus-mt-lg" aria-label="Docs pages"><a class="pagination-nav__link pagination-nav__link--prev" href="/codex/raw/dht"><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 class="lsd-typography lsd-typography--body2 pagination-nav__label">CODEX-DHT</span></a><a class="pagination-nav__link pagination-nav__link--next" href="/codex/raw/slot-buIlder"><span class="lsd-typography lsd-typography--body2 pagination-nav__label">CODEX-SLOT-BUILDER</span><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="m7 2.333-.823.823 3.255 3.26H2.333v1.167h7.1l-3.256 3.261.823.823L11.667 7 7 2.333Z" fill="#fff"></path></svg></div></a></nav></div></div><div class="gap1_XuuQ"></div><div class="toc_pP_5"><div class="tableOfContents_bqdL thin-scrollbar theme-doc-toc-desktop"><ul class="table-of-contents table-of-contents__left-border"><li><a href="#abstract" class="table-of-contents__link toc-highlight">Abstract</a></li><li><a href="#background" class="table-of-contents__link toc-highlight">Background</a></li><li><a href="#specification" class="table-of-contents__link toc-highlight">Specification</a><ul><li><a href="#encoding" class="table-of-contents__link toc-highlight">Encoding</a></li><li><a href="#data-repair" class="table-of-contents__link toc-highlight">Data Repair</a></li><li><a href="#decode-data" class="table-of-contents__link toc-highlight">Decode Data</a></li></ul></li><li><a href="#security-considerations" class="table-of-contents__link toc-highlight">Security Considerations</a><ul><li><a href="#adversarial-attack" class="table-of-contents__link toc-highlight">Adversarial Attack</a></li><li><a href="#data-encryption" class="table-of-contents__link toc-highlight">Data Encryption</a></li></ul></li><li><a href="#copyright" 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