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draft-davidben-tls-merkle-tree-certs.html

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</tr></thead>
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<tfoot><tr>
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<td class="left">Benjamin, et al.</td>
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<td class="center">Expires 12 February 2026</td>
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<td class="center">Expires 13 February 2026</td>
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<td class="right">[Page]</td>
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</tr></tfoot>
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</table>
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<dd class="internet-draft">draft-davidben-tls-merkle-tree-certs-latest</dd>
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<dt class="label-published">Published:</dt>
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<dd class="published">
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<time datetime="2025-08-11" class="published">11 August 2025</time>
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<time datetime="2025-08-12" class="published">12 August 2025</time>
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</dd>
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<dt class="label-intended-status">Intended Status:</dt>
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<dd class="intended-status">Experimental</dd>
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<dt class="label-expires">Expires:</dt>
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<dd class="expires"><time datetime="2026-02-12">12 February 2026</time></dd>
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<dd class="expires"><time datetime="2026-02-13">13 February 2026</time></dd>
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<dt class="label-authors">Authors:</dt>
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<dd class="authors">
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<div class="author">
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time. It is inappropriate to use Internet-Drafts as reference
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material or to cite them other than as "work in progress."<a href="#section-boilerplate.1-3" class="pilcrow"></a></p>
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<p id="section-boilerplate.1-4">
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This Internet-Draft will expire on 12 February 2026.<a href="#section-boilerplate.1-4" class="pilcrow"></a></p>
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This Internet-Draft will expire on 13 February 2026.<a href="#section-boilerplate.1-4" class="pilcrow"></a></p>
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</section>
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</div>
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<div id="copyright">
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<p id="section-4.1-3.1.1"><code>0 &lt;= start &lt; end &lt;= n</code><a href="#section-4.1-3.1.1" class="pilcrow"></a></p>
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</li>
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<li class="normal" id="section-4.1-3.2">
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<p id="section-4.1-3.2.1">If <code>k</code> is the largest power of 2 that is greater than or equal to <code>end - start</code>, <code>start</code> must be a multiple of <code>k</code><a href="#section-4.1-3.2.1" class="pilcrow"></a></p>
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<p id="section-4.1-3.2.1">If <code>s</code> is the smallest power of two that is greater than or equal to <code>end - start</code>, <code>start</code> must be a multiple of <code>s</code><a href="#section-4.1-3.2.1" class="pilcrow"></a></p>
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</li>
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</ul>
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<p id="section-4.1-4">Note that, if <code>start</code> is zero, the second condition is always true.<a href="#section-4.1-4" class="pilcrow"></a></p>
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<p id="section-4.1-5">A subtree is itself a Merkle Tree, defined by <code>MTH(D[start:end])</code>. In the context of a single Merkle Tree, the subtree defined by <code>start</code> and <code>end</code> is denoted by half-open interval <code>[start, end)</code>. It contains the entries whose indices are in that half-open interval.<a href="#section-4.1-5" class="pilcrow"></a></p>
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<p id="section-4.1-6">The <em>size</em> of the subtree is <code>end - start</code>. If the subtree's size is a power of 2, it is said to be <em>full</em>, otherwise it is said to be <em>partial</em>.<a href="#section-4.1-6" class="pilcrow"></a></p>
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<p id="section-4.1-6">The <em>size</em> of the subtree is <code>end - start</code>. If the subtree's size is a power of two, it is said to be <em>full</em>, otherwise it is said to be <em>partial</em>.<a href="#section-4.1-6" class="pilcrow"></a></p>
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<p id="section-4.1-7">If a subtree is full, then it is directly contained in the tree of hash operations in <code>MTH(D_n)</code> for <code>n &gt;= end</code>.<a href="#section-4.1-7" class="pilcrow"></a></p>
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<p id="section-4.1-8">If a subtree is partial, it is directly contained in <code>MTH(D_n)</code> only if <code>n = end</code>.<a href="#section-4.1-8" class="pilcrow"></a></p>
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</section>
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<p id="section-4.3.2-3.2.2.1.1">If <code>proof</code> is an empty array, stop and fail verification.<a href="#section-4.3.2-3.2.2.1.1" class="pilcrow"></a></p>
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</li>
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<li id="section-4.3.2-3.2.2.2">
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<p id="section-4.3.2-3.2.2.2.1">If <code>end - start</code> is an exact power of 2, prepend <code>node_hash</code> to the <code>proof</code> array.<a href="#section-4.3.2-3.2.2.2.1" class="pilcrow"></a></p>
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<p id="section-4.3.2-3.2.2.2.1">If <code>end - start</code> is an exact power of two, prepend <code>node_hash</code> to the <code>proof</code> array.<a href="#section-4.3.2-3.2.2.2.1" class="pilcrow"></a></p>
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</li>
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<li id="section-4.3.2-3.2.2.3">
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<p id="section-4.3.2-3.2.2.3.1">Set <code>fn</code> to <code>start</code>, <code>sn</code> to <code>end - 1</code>, and <code>tn</code> to <code>n - 1</code>.<a href="#section-4.3.2-3.2.2.3.1" class="pilcrow"></a></p>

draft-davidben-tls-merkle-tree-certs.txt

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Network Working Group D. Benjamin
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Internet-Draft Google LLC
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Intended status: Experimental D. O'Brien
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Expires: 12 February 2026
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Expires: 13 February 2026
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B. E. Westerbaan
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L. Valenta
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Cloudflare
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F. Valsorda
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Geomys
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11 August 2025
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12 August 2025
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Merkle Tree Certificates
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time. It is inappropriate to use Internet-Drafts as reference
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material or to cite them other than as "work in progress."
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This Internet-Draft will expire on 12 February 2026.
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This Internet-Draft will expire on 13 February 2026.
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Copyright Notice
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* 0 <= start < end <= n
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* If k is the largest power of 2 that is greater than or equal to
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end - start, start must be a multiple of k
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* If s is the smallest power of two that is greater than or equal to
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end - start, start must be a multiple of s
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Note that, if start is zero, the second condition is always true.
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entries whose indices are in that half-open interval.
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The _size_ of the subtree is end - start. If the subtree's size is a
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power of 2, it is said to be _full_, otherwise it is said to be
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power of two, it is said to be _full_, otherwise it is said to be
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_partial_.
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If a subtree is full, then it is directly contained in the tree of
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1. If proof is an empty array, stop and fail verification.
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2. If end - start is an exact power of 2, prepend node_hash to
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2. If end - start is an exact power of two, prepend node_hash to
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the proof array.
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3. Set fn to start, sn to end - 1, and tn to n - 1.

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