1<!DOCTYPE html>
  2<html lang="en">
  3
  4  <head>
  5    <meta name="description" content="arnaucube blog" />
  6    <meta charset="utf-8">
  7    <title>arnaucube - blog</title>
  8    <meta name="title" content="arnaucube - blog">
  9    <meta name="description" content="arnaucube blog">
 10
 11    <meta property="og:title" content="arnaucube - blog" />
 12    <meta property="og:description" content="arnaucube blog" />
 13    <meta property="og:url" content="https://arnaucube.com/blog" />
 14    <meta property="og:type" content="article" />
 15    <meta property="og:image" content="https://arnaucube.com/blog/img/logoArnauCube.png" />
 16    <meta name="twitter:title" content="arnaucube - blog">
 17    <meta name="twitter:description" content="arnaucube blog">
 18    <meta name="twitter:image" content="https://arnaucube.com/blog/img/logoArnauCube.png">
 19    <meta name="twitter:card" content="summary_large_image">
 20    <meta name="author" content="arnaucube">
 21
 22    <link rel="icon" type="image/png" href="img/logoArnauCubeFavicon.png">
 23
 24    <meta name="viewport" content="width=device-width, initial-scale=1">
 25
 26    <link href="css/bootstrap.min.css" rel="stylesheet">
 27    <link rel="stylesheet" href="css/style.css">
 28
 29    <!-- highlightjs -->
 30    <!-- <link rel="stylesheet" href="js/highlightjs/atom-one-dark.css"> -->
 31    <link rel="stylesheet" href="js/highlightjs/atom-one-light.css">
 32    <!-- <link rel="stylesheet" href="js/highlightjs/gruvbox-dark.css"> -->
 33    <script src="js/highlightjs/highlight.pack.js"></script>
 34
 35    <!-- katex -->
 36    <link rel="stylesheet" href="js/katex/katex.min.css">
 37  </head>
 38
 39  <body>
 40
 41    <!-- o_gradient_background" -->
 42    <nav id="mainNav" class="navbar navbar-default navbar-fixed-top"
 43                      style="height:50px;font-size:130%;">
 44      <div class="container">
 45        <div style="float:left;">
 46        <a href="/blog" style="color:#000;display:inline-block;">Blog index</a>
 47        <span style="margin-right:20px; margin-left:20px;">|</span>
 48        <a href="/blog/notes.html" style="font-size:90%;color:#000;display:inline-block;">other-notes</a>
 49        </div>
 50        <div style="float:right;">
 51          <a href="/" style="color:#000;display:inline-block;">arnaucube.com</a>
 52          <div class="onoffswitch" style="margin:10px;display:inline-block;" title="change theme">
 53            <input onclick="switchTheme()" type="checkbox" name="onoffswitch" class="onoffswitch-checkbox"
 54              id="themeSwitcher">
 55            <label class="onoffswitch-label" for="themeSwitcher"></label>
 56          </div>
 57        </div>
 58      </div>
 59      <img style="height:5px; width:100%; margin-top:8px;" src="img/gradient-line.jpg" />
 60    </nav>
 61
 62
 63
 64    <div class="container" style="margin-top:40px;max-width:800px;">
 65      <a href='/blog/ai-connections.html'><div class="row postThumb">
 66        <h3>Human connections in the early days of AI</h3>
 67
 68<p>A short note on aiccelerationism, hyperreality, and the recovery of human connections.</p>
 69
 70<p><em>2025-06-03</em></p>
 71
 72</div>
 73
 74</a><a href='https://www.youtube.com/watch?v=z3FH9I8klDk'><div class="row postThumb">
 75        <h3><span style="font-size:85%">[zkSummit12 talk]</span> Sonobe, a modular folding schemes library</h3>
 76
 77<p>(link to youtube video of the talk)</p>
 78
 79<p><em>2024-11-21</em></p>
 80
 81</div>
 82
 83</a><a href='/blog/protogalaxy.html'><div class="row postThumb">
 84        <h3>Notes on ProtoGalaxy</h3>
 85
 86<p>The idea of these notes is to provide some extra intuition and explainations on ProtoGalaxy&rsquo;s paper.
 87ProtoGalaxy is a <em>folding scheme</em> which iterates on ideas from ProtoStar paper.</p>
 88
 89<p><em>2023-08-20</em></p>
 90
 91</div>
 92
 93</a><a href='https://raw.githubusercontent.com/arnaucube/math/master/notes_hypernova.pdf'><div class="row postThumb">
 94        <h3>Notes on HyperNova (pdf)</h3>
 95
 96<p>This document contains notes on HyperNova and CCS.</p>
 97
 98<p><em>2023-05-16</em></p>
 99
100</div>
101
102</a><a href='/blog/ipa.html'><div class="row postThumb">
103        <h3>IPA polynomial commitment by hand</h3>
104
105<p>This post overviews the IPA polynomial commitment described in the Halo paper, first by providing an overview on the protocol, then by doing a step-by-step example with small values, following the style done in the &ldquo;Plonk by hand series&rdquo; from Joshua Fitzgerald, and later by providing a Sage implementation of the protocol.</p>
106
107<p><em>2023-04-06</em></p>
108
109</div>
110
111</a><a href='https://raw.githubusercontent.com/arnaucube/math/master/notes_fri_stir.pdf'><div class="row postThumb">
112        <h3>Notes on FRI and STIR (pdf)</h3>
113
114<p>This document contains notes on FRI low degree testing and the trick to convert it to a polynomial commitment scheme.
115(Update 2024-03-22: also few notes on STIR).</p>
116
117<p><em>2023-02-26</em></p>
118
119</div>
120
121</a><a href='/blog/powersoftau.html'><div class="row postThumb">
122        <h3>Implementing the powers of tau contributor</h3>
123
124<p>In the following notes we go over the ideas behind the <em>Powers of Tau</em> ceremony, how participants contribute and how the contributions are verified (logic &amp; code). We focus on the Ethereum&rsquo;s upcoming KZG-Ceremony.</p>
125
126<p><em>2023-01-02</em></p>
127
128</div>
129
130</a><a href='/blog/ringsig.html'><div class="row postThumb">
131        <h3>bLSAG ring signatures overview</h3>
132
133<p>Notes on bLSAG: Back&rsquo;s Linkable Spontaneous Anonymous Group signatures</p>
134
135<p><em>2022-07-20</em></p>
136
137</div>
138
139</a><a href='/blog/shamir-secret-sharing.html'><div class="row postThumb">
140        <h3>Lagrange Polynomial Interpolation and Shamir secret sharing</h3>
141
142<p>Overview of Langrange Polynomial interpolation and Shamir&rsquo;s secret sharing.</p>
143
144<p><em>2021-10-10</em></p>
145
146</div>
147
148</a><a href='/blog/kzg-batch-proof.html'><div class="row postThumb">
149        <h3>Batch proof in KZG Commitments</h3>
150
151<p>The benefit of <em>batch proof</em> is that allows us to proof multiple points while the proof size remains constant to one <span class="math inline">\(\mathbb{G}_1\)</span> point.</p>
152
153<p><em>2021-08-14</em></p>
154
155</div>
156
157</a><a href='/blog/kzg-commitments.html'><div class="row postThumb">
158        <h3>Notes on KZG polynomial commitments</h3>
159
160<p>In the following notes I&rsquo;ve tried to summarize the KZG Commitments scheme with the concepts that helped me to follow the reasoning.</p>
161
162<p><em>2021-08-05</em></p>
163
164</div>
165
166</a><a href='/blog/blind-signatures-ec.html'><div class="row postThumb">
167        <h3>Notes on blind signatures over elliptic curves</h3>
168
169<p>In this notes, we will cover the scheme proposed at <em>&ldquo;New Blind Signature Schemes Based on the (Elliptic Curve) Discrete Logarithm Problem&rdquo;</em> paper by Hamid Mala &amp; Nafiseh Nezhadansari.</p>
170
171<p><em>2021-07-30</em></p>
172
173</div>
174
175</a><a href='/blog/coffeeminer-hacking-wifi-cryptocurrency-miner.html'><div class="row postThumb">
176        <h3>CoffeeMiner: Hacking WiFi to inject cryptocurrency miner to HTML requests</h3>
177
178<p>The goal of this post, is to explain how can be done the attack of MITM (Machine-In-The-Middle) to inject some javascript in the html pages, to force all the machines connected to a WiFi network to be mining a cryptocurrency for the attacker.</p>
179
180<p><em>2018-01-04</em></p>
181
182</div>
183
184</a><a href='/blog/flock-botnet.html'><div class="row postThumb">
185        <h3>Auto generated tweets from Markov chains</h3>
186
187<p>Developing a twitter botnet with autonomous bots replying tweets with text generated based on probabilities in Markov chains</p>
188
189<p><em>2017-12-29</em></p>
190
191</div>
192
193</a><a href='/blog/blogo.html'><div class="row postThumb">
194        <h3>Static blog template engine implementation in Go</h3>
195
196<p>How has this blog been made? In this post we will see how to develop a minimalistic static blog template engine with Go.</p>
197
198<p><em>2017-12-26</em></p>
199
200</div>
201
202</a>
203    </div>
204
205    <footer style="text-align:center; margin-top:100px;margin-bottom:50px;">
206      <div class="container">
207        <br>
208        <a href="/blog">Go to main</a>
209        <br><br>
210        <div class="row">
211          <ul class="list-inline">
212            <li><a href="https://twitter.com/arnaucube"
213                   style="color:gray;text-decoration:none;"
214                   target="_blank">twitter.com/arnaucube</a>
215            </li>
216            <li><a href="https://github.com/arnaucube"
217                   style="color:gray;text-decoration:none;"
218                   target="_blank">github.com/arnaucube</a>
219            </li>
220          </ul>
221        </div>
222        <div class="row" style="display:inline-block;">
223          Blog made with <a href="http://github.com/arnaucube/blogo/"
224                            target="_blank" style="color: gray;text-decoration:none;">Blogo</a>
225        </div>
226      </div>
227    </footer>
228
229    <script>
230    </script>
231    <script src="js/external-links.js"></script>
232    <script>hljs.initHighlightingOnLoad();</script>
233    <script defer src="js/katex/katex.min.js"></script>
234    <script defer src="js/katex/auto-render.min.js"></script>
235    <script>
236      document.addEventListener("DOMContentLoaded", function() {
237        renderMathInElement(document.body, {
238          displayMode: false,
239          // customised options
240          // • auto-render specific keys, e.g.:
241          delimiters: [
242            {left: '$$', right: '$$', display: true},
243            {left: '$', right: '$', display: false},
244            {left: "\\[", right: "\\]", display: true},
245            {left: "\\(", right: "\\)", display: false},
246            {left: "\\begin{equation}", right: "\\end{equation}", display: true}
247          ],
248          // • rendering keys, e.g.:
249          throwOnError : true
250        });
251      });
252
253      ///
254      let theme = localStorage.getItem("theme");
255      if ((theme === "light-theme")||(theme==null)) {
256          theme = "light-theme";
257          document.getElementById("themeSwitcher").checked = false;
258      } else if (theme === "dark-theme") {
259          theme = "dark-theme";
260          document.getElementById("themeSwitcher").checked = true;
261      }
262      document.body.className = theme;
263      localStorage.setItem("theme", theme);
264
265      function switchTheme() {
266        theme = localStorage.getItem("theme");
267        if (theme === "light-theme") {
268          theme = "dark-theme";
269          document.getElementById("themeSwitcher").checked = true;
270        } else {
271          theme = "light-theme";
272          document.getElementById("themeSwitcher").checked = false;
273        }
274        document.body.className = theme;
275        localStorage.setItem("theme", theme);
276
277        console.log(theme);
278      }
279    </script>
280    <script>
281    function tagLinks(tagName) {
282      var tags = document.getElementsByTagName(tagName);
283      for (var i=0, hElem; hElem =  tags[i]; i++) {
284        if (hElem.parentNode.className=="row postThumb") {
285          continue;
286        }
287        hElem.id = hElem.innerHTML.toLowerCase().replace(" ", "-");
288        hElem.innerHTML = "<a style='text-decoration:none;color:black;' href='#"+hElem.id+"'>"+hElem.innerHTML+"</a>";
289      }
290    }
291    tagLinks("h2");
292    tagLinks("h3");
293    tagLinks("h4");
294    tagLinks("h5");
295    </script>
296    <script src="js/mermaid.min.js"></script>
297
298
299  </body>
300</html>
301