arnaucube.com/blog/index.html
blog/index.htmlRaw
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 <link rel="alternate" type="application/rss+xml" title="arnaucube - blog RSS" href="https://arnaucube.com/blog/rss.xml">
38</head>
39
40 <body>
41
42 <!-- o_gradient_background" -->
43 <nav id="mainNav" class="navbar navbar-default navbar-fixed-top"
44 style="height:50px;font-size:100%;">
45 <div class="container">
46 <div style="float:left;">
47 <a href="/blog" style="color:#000;display:inline-block;">blog</a>
48 <span style="margin-right:20px; margin-left:20px;">|</span>
49 <a href="/blog/notes.html" style="font-size:90%;color:#000;display:inline-block;">notes</a>
50 </div>
51 <div style="float:right;">
52 <a href="/" style="color:#000;display:inline-block;margin-right:10px;">arnaucube.com</a>
53 <a href="/blog/rss.xml" target="_blank"
54 type="application/rss+xml" title="subscribe via RSS" aria-label="subscribe via RSS">
55 <img width="12px;" src="img/rss.png" />
56 </a>
57 <div class="onoffswitch" style="margin-left:0px;display:inline-block;" title="change theme">
58 <input onclick="switchTheme()" type="checkbox" name="onoffswitch" class="onoffswitch-checkbox"
59 id="themeSwitcher">
60 <label class="onoffswitch-label" for="themeSwitcher"></label>
61 </div>
62 </div>
63 </div>
64 <!-- <img style="height:5px; width:100%; margin-top:8px;" src="img/gradient-line.jpg" /> -->
65 </nav>
66
67
68 <div class="container" style="max-width:800px;">
69 <br>
70 <div style="background:#cccccc; border:2px gray solid; padding:5px; width:80%;margin-left:auto; margin-right:auto; margin-bottom:5px;">
71 <i>Note: this blog is human-written, no AI generated content.</i>
72 </div>
73
74 <a href='/blog/labrador.html'><div class="row postThumb">
75 <h3>Notes on Labrador, a lattice-based SNARK scheme</h3>
76
77<p>Overview of how the (post-quantum) lattice-based SNARK scheme “Labrador” works.</p>
78
79<p><em>2026-06-11</em></p>
80
81</div>
82
83</a><a href='/blog/tools.html'><div class="row postThumb">
84 <h3>Tools</h3>
85
86<p>A non-exhaustive overview of tools I use daily.</p>
87
88<p><em>2026-06-08</em></p>
89
90</div>
91
92</a><a href='/blog/ai-connections.html'><div class="row postThumb">
93 <h3>Human connections in the early days of AI</h3>
94
95<p>A short note on aiccelerationism, hyperreality, and the recovery of human connections.</p>
96
97<p><em>2025-06-03</em></p>
98
99</div>
100
101</a><a href='https://www.youtube.com/watch?v=z3FH9I8klDk'><div class="row postThumb">
102 <h3><span style="font-size:85%">[zkSummit12 talk]</span> Sonobe, a modular folding schemes library</h3>
103
104<p>(link to youtube video of the talk)</p>
105
106<p><em>2024-11-21</em></p>
107
108</div>
109
110</a><a href='/blog/protogalaxy.html'><div class="row postThumb">
111 <h3>Notes on ProtoGalaxy</h3>
112
113<p>The idea of these notes is to provide some extra intuition and explainations on ProtoGalaxy’s paper.
114ProtoGalaxy is a <em>folding scheme</em> which iterates on ideas from ProtoStar paper.</p>
115
116<p><em>2023-08-20</em></p>
117
118</div>
119
120</a><a href='https://raw.githubusercontent.com/arnaucube/math/master/notes_hypernova.pdf'><div class="row postThumb">
121 <h3>Notes on HyperNova (pdf)</h3>
122
123<p>This document contains notes on HyperNova and CCS.</p>
124
125<p><em>2023-05-16</em></p>
126
127</div>
128
129</a><a href='/blog/ipa.html'><div class="row postThumb">
130 <h3>IPA polynomial commitment by hand</h3>
131
132<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 “Plonk by hand series” from Joshua Fitzgerald, and later by providing a Sage implementation of the protocol.</p>
133
134<p><em>2023-04-06</em></p>
135
136</div>
137
138</a><a href='https://raw.githubusercontent.com/arnaucube/math/master/notes_fri_stir.pdf'><div class="row postThumb">
139 <h3>Notes on FRI and STIR (pdf)</h3>
140
141<p>This document contains notes on FRI low degree testing and the trick to convert it to a polynomial commitment scheme.
142(Update 2024-03-22: also few notes on STIR).</p>
143
144<p><em>2023-02-26</em></p>
145
146</div>
147
148</a><a href='/blog/powersoftau.html'><div class="row postThumb">
149 <h3>Implementing the powers of tau contributor</h3>
150
151<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 & code). We focus on the Ethereum’s upcoming KZG-Ceremony.</p>
152
153<p><em>2023-01-02</em></p>
154
155</div>
156
157</a><a href='/blog/ringsig.html'><div class="row postThumb">
158 <h3>bLSAG ring signatures overview</h3>
159
160<p>Notes on bLSAG: Back’s Linkable Spontaneous Anonymous Group signatures</p>
161
162<p><em>2022-07-20</em></p>
163
164</div>
165
166</a><a href='/blog/shamir-secret-sharing.html'><div class="row postThumb">
167 <h3>Lagrange Polynomial Interpolation and Shamir secret sharing</h3>
168
169<p>Overview of Langrange Polynomial interpolation and Shamir’s secret sharing.</p>
170
171<p><em>2021-10-10</em></p>
172
173</div>
174
175</a><a href='/blog/kzg-batch-proof.html'><div class="row postThumb">
176 <h3>Batch proof in KZG Commitments</h3>
177
178<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>
179
180<p><em>2021-08-14</em></p>
181
182</div>
183
184</a><a href='/blog/kzg-commitments.html'><div class="row postThumb">
185 <h3>Notes on KZG polynomial commitments</h3>
186
187<p>In the following notes I’ve tried to summarize the KZG Commitments scheme with the concepts that helped me to follow the reasoning.</p>
188
189<p><em>2021-08-05</em></p>
190
191</div>
192
193</a><a href='/blog/blind-signatures-ec.html'><div class="row postThumb">
194 <h3>Notes on blind signatures over elliptic curves</h3>
195
196<p>In this notes, we will cover the scheme proposed at <em>“New Blind Signature Schemes Based on the (Elliptic Curve) Discrete Logarithm Problem”</em> paper by Hamid Mala & Nafiseh Nezhadansari.</p>
197
198<p><em>2021-07-30</em></p>
199
200</div>
201
202</a><a href='/blog/coffeeminer-hacking-wifi-cryptocurrency-miner.html'><div class="row postThumb">
203 <h3>CoffeeMiner: Hacking WiFi to inject cryptocurrency miner to HTML requests</h3>
204
205<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>
206
207<p><em>2018-01-04</em></p>
208
209</div>
210
211</a><a href='/blog/flock-botnet.html'><div class="row postThumb">
212 <h3>Auto generated tweets from Markov chains</h3>
213
214<p>Developing a twitter botnet with autonomous bots replying tweets with text generated based on probabilities in Markov chains</p>
215
216<p><em>2017-12-29</em></p>
217
218</div>
219
220</a><a href='/blog/blogo.html'><div class="row postThumb">
221 <h3>Static blog template engine implementation in Go</h3>
222
223<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>
224
225<p><em>2017-12-26</em></p>
226
227</div>
228
229</a>
230 </div>
231
232 <footer style="text-align:center; margin-top:100px;margin-bottom:50px;">
233 <div class="container">
234 <br>
235 <a href="/blog">Go to main</a>
236 <br><br>
237 <div class="row">
238 <ul class="list-inline">
239 <li><a href="https://twitter.com/arnaucube"
240 style="color:gray;text-decoration:none;"
241 target="_blank">twitter.com/arnaucube</a>
242 </li>
243 <li><a href="https://github.com/arnaucube"
244 style="color:gray;text-decoration:none;"
245 target="_blank">github.com/arnaucube</a>
246 </li>
247 </ul>
248 </div>
249 <div class="row" style="display:inline-block;">
250 Blog made with <a href="http://github.com/arnaucube/blogo/"
251 target="_blank" style="color: gray;text-decoration:none;">Blogo</a>
252 </div>
253 </div>
254 </footer>
255
256 <script>
257 </script>
258 <script src="js/external-links.js"></script>
259 <script>hljs.initHighlightingOnLoad();</script>
260 <script defer src="js/katex/katex.min.js"></script>
261 <script defer src="js/katex/auto-render.min.js"></script>
262 <script>
263 document.addEventListener("DOMContentLoaded", function() {
264 renderMathInElement(document.body, {
265 displayMode: false,
266 // customised options
267 // • auto-render specific keys, e.g.:
268 delimiters: [
269 {left: '$$', right: '$$', display: true},
270 {left: '$', right: '$', display: false},
271 {left: "\\[", right: "\\]", display: true},
272 {left: "\\(", right: "\\)", display: false},
273 {left: "\\begin{equation}", right: "\\end{equation}", display: true}
274 ],
275 // • rendering keys, e.g.:
276 throwOnError : true
277 });
278 });
279
280 ///
281 let theme = localStorage.getItem("theme");
282 if ((theme === "light-theme")||(theme==null)) {
283 theme = "light-theme";
284 document.getElementById("themeSwitcher").checked = false;
285 } else if (theme === "dark-theme") {
286 theme = "dark-theme";
287 document.getElementById("themeSwitcher").checked = true;
288 }
289 document.body.className = theme;
290 localStorage.setItem("theme", theme);
291
292 function switchTheme() {
293 theme = localStorage.getItem("theme");
294 if (theme === "light-theme") {
295 theme = "dark-theme";
296 document.getElementById("themeSwitcher").checked = true;
297 } else {
298 theme = "light-theme";
299 document.getElementById("themeSwitcher").checked = false;
300 }
301 document.body.className = theme;
302 localStorage.setItem("theme", theme);
303
304 console.log(theme);
305 }
306 </script>
307 <script>
308 function tagLinks(tagName) {
309 var tags = document.getElementsByTagName(tagName);
310 for (var i=0, hElem; hElem = tags[i]; i++) {
311 if (hElem.parentNode.className=="row postThumb") {
312 continue;
313 }
314 hElem.id = hElem.innerHTML.toLowerCase().replace(" ", "-");
315 hElem.innerHTML = "<a style='color:black!important;' href='#"+hElem.id+"'>"+hElem.innerHTML+"</a>";
316 }
317 }
318 tagLinks("h2");
319 tagLinks("h3");
320 tagLinks("h4");
321 tagLinks("h5");
322 </script>
323 <script>
324function generateTOC(tocContainerId = "toc") {
325 const tocContainer = document.getElementById(tocContainerId);
326 if (!tocContainer) return;
327
328 const headings = document.querySelectorAll("h2, h3, h4, h5, h6");
329 if (!headings.length) return;
330
331 // Generate IDs if missing
332 headings.forEach((heading, index) => {
333 if (!heading.id) {
334 heading.id =
335 heading.textContent
336 .trim()
337 .toLowerCase()
338 .replace(/[^\w\s-]/g, "")
339 .replace(/\s+/g, "-") +
340 "-" +
341 index;
342 }
343 });
344
345 const toc = document.createElement("ul");
346 let currentLevel = 1;
347 let currentList = toc;
348 const stack = [toc];
349
350 headings.forEach((heading) => {
351 const level = parseInt(heading.tagName.substring(1), 10);
352
353 const li = document.createElement("li");
354 const a = document.createElement("a");
355
356 a.href = "#" + heading.id;
357 a.textContent = heading.textContent;
358
359 li.appendChild(a);
360
361 if (level > currentLevel) {
362 for (let i = currentLevel; i < level; i++) {
363 const nestedList = document.createElement("ul");
364
365 const lastLi =
366 currentList.lastElementChild ||
367 currentList.appendChild(document.createElement("ul"));
368
369 lastLi.appendChild(nestedList);
370
371 stack.push(nestedList);
372 currentList = nestedList;
373 }
374 } else if (level < currentLevel) {
375 for (let i = currentLevel; i > level; i--) {
376 stack.pop();
377 }
378 currentList = stack[stack.length - 1];
379 }
380
381 currentList.appendChild(li);
382 currentLevel = level;
383 });
384
385 tocContainer.innerHTML = "";
386 tocContainer.appendChild(toc);
387}
388
389document.addEventListener("DOMContentLoaded", () => {
390 generateTOC();
391});
392 </script>
393 <script src="js/mermaid.min.js"></script>
394
395 </body>
396</html>
397