CTFtime.org / ASIS CTF Quals 2021 / Crypto Warm up / Writeup

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      <article class="markdown-body entry-content container-lg" itemprop="text"><h1><a id="user-content-crypto-warm-up" class="anchor" aria-hidden="true" href="#crypto-warm-up"><svg class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path fill-rule="evenodd" d="M7.775 3.275a.75.75 0 001.06 1.06l1.25-1.25a2 2 0 112.83 2.83l-2.5 2.5a2 2 0 01-2.83 0 .75.75 0 00-1.06 1.06 3.5 3.5 0 004.95 0l2.5-2.5a3.5 3.5 0 00-4.95-4.95l-1.25 1.25zm-4.69 9.64a2 2 0 010-2.83l2.5-2.5a2 2 0 012.83 0 .75.75 0 001.06-1.06 3.5 3.5 0 00-4.95 0l-2.5 2.5a3.5 3.5 0 004.95 4.95l1.25-1.25a.75.75 0 00-1.06-1.06l-1.25 1.25a2 2 0 01-2.83 0z"></path></svg></a>Crypto Warm up</h1>

<p>We are given the <a href="/Lazzaro98/CTF/blob/main/ASIS%20CTF/Crypto%20Warm%20up/Warmup.py">encryption code</a> and <a href="/Lazzaro98/CTF/blob/main/ASIS%20CTF/Crypto%20Warm%20up/output.txt">output.txt</a>.</p> <p>The script concatenates random string to the flag and then perform encryption algorithm using random prime number with <code>nbit</code> bits. However, we can get the generated random prime number (<code>p</code>) by looking at the output string length which is <code>19489</code>.</p> <p>We are not given the source code of the function <code>is_valid</code>, but we can guess that it is about primitive roots. So, using the <a href="http://www.bluetulip.org/2014/programs/primitive.html" rel="nofollow">primitive roots calculator</a>, we can get all possible values of <code>s</code>.</p> <p>Now, that we have <code>p</code> value and list of possible <code>s</code> values, we can bruteforce our way to the flag. (using <a href="/Lazzaro98/CTF/blob/main/ASIS%20CTF/Crypto%20Warm%20up/solution.py">solution.py</a>)</p> <p><code>ASIS{_how_d3CrYpt_Th1S_h0m3_m4dE_anD_wEird_CrYp70_5yST3M?!!!!!!}</code></p> <p>~ Solution by <a href="https://github.com/duca9">Dusan</a> and me.</p> </article> </div> </div>

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Original writeup (https://github.com/Lazzaro98/CTF/tree/main/ASIS%20CTF/Crypto%20Warm%20up).

Crypto Warm up

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