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65 <a href='/blog/labrador.html'><div class="row postThumb">
66 <h3>Notes on Labrador, a lattice-based SNARK scheme</h3>
67
68<p>Overview of how the (post-quantum) lattice-based SNARK scheme “Labrador” works.</p>
69
70<p><em>2026-06-11</em></p>
71
72</div>
73
74</a><a href='/blog/tools.html'><div class="row postThumb">
75 <h3>Tools</h3>
76
77<p>A non-exhaustive overview of tools I use daily.</p>
78
79<p><em>2026-06-08</em></p>
80
81</div>
82
83</a><a href='/blog/ai-connections.html'><div class="row postThumb">
84 <h3>Human connections in the early days of AI</h3>
85
86<p>A short note on aiccelerationism, hyperreality, and the recovery of human connections.</p>
87
88<p><em>2025-06-03</em></p>
89
90</div>
91
92</a><a href='https://www.youtube.com/watch?v=z3FH9I8klDk'><div class="row postThumb">
93 <h3><span style="font-size:85%">[zkSummit12 talk]</span> Sonobe, a modular folding schemes library</h3>
94
95<p>(link to youtube video of the talk)</p>
96
97<p><em>2024-11-21</em></p>
98
99</div>
100
101</a><a href='/blog/protogalaxy.html'><div class="row postThumb">
102 <h3>Notes on ProtoGalaxy</h3>
103
104<p>The idea of these notes is to provide some extra intuition and explainations on ProtoGalaxy’s paper.
105ProtoGalaxy is a <em>folding scheme</em> which iterates on ideas from ProtoStar paper.</p>
106
107<p><em>2023-08-20</em></p>
108
109</div>
110
111</a><a href='https://raw.githubusercontent.com/arnaucube/math/master/notes_hypernova.pdf'><div class="row postThumb">
112 <h3>Notes on HyperNova (pdf)</h3>
113
114<p>This document contains notes on HyperNova and CCS.</p>
115
116<p><em>2023-05-16</em></p>
117
118</div>
119
120</a><a href='/blog/ipa.html'><div class="row postThumb">
121 <h3>IPA polynomial commitment by hand</h3>
122
123<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>
124
125<p><em>2023-04-06</em></p>
126
127</div>
128
129</a><a href='https://raw.githubusercontent.com/arnaucube/math/master/notes_fri_stir.pdf'><div class="row postThumb">
130 <h3>Notes on FRI and STIR (pdf)</h3>
131
132<p>This document contains notes on FRI low degree testing and the trick to convert it to a polynomial commitment scheme.
133(Update 2024-03-22: also few notes on STIR).</p>
134
135<p><em>2023-02-26</em></p>
136
137</div>
138
139</a><a href='/blog/powersoftau.html'><div class="row postThumb">
140 <h3>Implementing the powers of tau contributor</h3>
141
142<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>
143
144<p><em>2023-01-02</em></p>
145
146</div>
147
148</a><a href='/blog/ringsig.html'><div class="row postThumb">
149 <h3>bLSAG ring signatures overview</h3>
150
151<p>Notes on bLSAG: Back’s Linkable Spontaneous Anonymous Group signatures</p>
152
153<p><em>2022-07-20</em></p>
154
155</div>
156
157</a><a href='/blog/shamir-secret-sharing.html'><div class="row postThumb">
158 <h3>Lagrange Polynomial Interpolation and Shamir secret sharing</h3>
159
160<p>Overview of Langrange Polynomial interpolation and Shamir’s secret sharing.</p>
161
162<p><em>2021-10-10</em></p>
163
164</div>
165
166</a><a href='/blog/kzg-batch-proof.html'><div class="row postThumb">
167 <h3>Batch proof in KZG Commitments</h3>
168
169<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>
170
171<p><em>2021-08-14</em></p>
172
173</div>
174
175</a><a href='/blog/kzg-commitments.html'><div class="row postThumb">
176 <h3>Notes on KZG polynomial commitments</h3>
177
178<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>
179
180<p><em>2021-08-05</em></p>
181
182</div>
183
184</a><a href='/blog/blind-signatures-ec.html'><div class="row postThumb">
185 <h3>Notes on blind signatures over elliptic curves</h3>
186
187<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>
188
189<p><em>2021-07-30</em></p>
190
191</div>
192
193</a><a href='/blog/coffeeminer-hacking-wifi-cryptocurrency-miner.html'><div class="row postThumb">
194 <h3>CoffeeMiner: Hacking WiFi to inject cryptocurrency miner to HTML requests</h3>
195
196<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>
197
198<p><em>2018-01-04</em></p>
199
200</div>
201
202</a><a href='/blog/flock-botnet.html'><div class="row postThumb">
203 <h3>Auto generated tweets from Markov chains</h3>
204
205<p>Developing a twitter botnet with autonomous bots replying tweets with text generated based on probabilities in Markov chains</p>
206
207<p><em>2017-12-29</em></p>
208
209</div>
210
211</a><a href='/blog/blogo.html'><div class="row postThumb">
212 <h3>Static blog template engine implementation in Go</h3>
213
214<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>
215
216<p><em>2017-12-26</em></p>
217
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