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      <div class="mt-2 mt-md-1 pb-3 gh-header-meta">        Firas Chaib edited this page <relative-time datetime="2022-04-15T01:12:43Z" class="no-wrap">Apr 15, 2022</relative-time>        ·           5 revisions       </div>
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            <details class="details-reset" >  <summary>    <div class="d-flex flex-items-start">      <div        class="p-2 mt-n1 mb-n1 ml-n1 btn btn-octicon js-wiki-sidebar-toc-toggle-chevron-button ">        <svg hidden="hidden" style="box-sizing: content-box; color: var(--color-icon-primary);" width="16" height="16" viewBox="0 0 16 16" fill="none" data-view-component="true" class="js-wiki-sidebar-toc-spinner mr-0 v-align-text-bottom anim-rotate">  <circle cx="8" cy="8" r="7" stroke="currentColor" stroke-opacity="0.25" stroke-width="2" vector-effect="non-scaling-stroke" />  <path d="M15 8a7.002 7.002 0 00-7-7" stroke="currentColor" stroke-width="2" stroke-linecap="round" vector-effect="non-scaling-stroke" /></svg>        <svg aria-hidden="true" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-triangle-down js-wiki-sidebar-toc-toggle-chevron mr-0">    <path d="m4.427 7.427 3.396 3.396a.25.25 0 0 0 .354 0l3.396-3.396A.25.25 0 0 0 11.396 7H4.604a.25.25 0 0 0-.177.427Z"></path></svg>      </div>      <span> PatriotCTF : Banner</span>    </div>  </summary>
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            <details class="details-reset" >  <summary>    <div class="d-flex flex-items-start">      <div        class="p-2 mt-n1 mb-n1 ml-n1 btn btn-octicon js-wiki-sidebar-toc-toggle-chevron-button ">        <svg hidden="hidden" style="box-sizing: content-box; color: var(--color-icon-primary);" width="16" height="16" viewBox="0 0 16 16" fill="none" data-view-component="true" class="js-wiki-sidebar-toc-spinner mr-0 v-align-text-bottom anim-rotate">  <circle cx="8" cy="8" r="7" stroke="currentColor" stroke-opacity="0.25" stroke-width="2" vector-effect="non-scaling-stroke" />  <path d="M15 8a7.002 7.002 0 00-7-7" stroke="currentColor" stroke-width="2" stroke-linecap="round" vector-effect="non-scaling-stroke" /></svg>        <svg aria-hidden="true" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-triangle-down js-wiki-sidebar-toc-toggle-chevron mr-0">    <path d="m4.427 7.427 3.396 3.396a.25.25 0 0 0 .354 0l3.396-3.396A.25.25 0 0 0 11.396 7H4.604a.25.25 0 0 0-.177.427Z"></path></svg>      </div>      <span> PatriotCTF : CoruptAAAAd</span>    </div>  </summary>
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            <details class="details-reset" >  <summary>    <div class="d-flex flex-items-start">      <div        class="p-2 mt-n1 mb-n1 ml-n1 btn btn-octicon js-wiki-sidebar-toc-toggle-chevron-button ">        <svg hidden="hidden" style="box-sizing: content-box; color: var(--color-icon-primary);" width="16" height="16" viewBox="0 0 16 16" fill="none" data-view-component="true" class="js-wiki-sidebar-toc-spinner mr-0 v-align-text-bottom anim-rotate">  <circle cx="8" cy="8" r="7" stroke="currentColor" stroke-opacity="0.25" stroke-width="2" vector-effect="non-scaling-stroke" />  <path d="M15 8a7.002 7.002 0 00-7-7" stroke="currentColor" stroke-width="2" stroke-linecap="round" vector-effect="non-scaling-stroke" /></svg>        <svg aria-hidden="true" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-triangle-down js-wiki-sidebar-toc-toggle-chevron mr-0">    <path d="m4.427 7.427 3.396 3.396a.25.25 0 0 0 .354 0l3.396-3.396A.25.25 0 0 0 11.396 7H4.604a.25.25 0 0 0-.177.427Z"></path></svg>      </div>      <span> PicoCTF : Eavesdrop</span>    </div>  </summary>
    <include-fragment class="js-wiki-sidebar-toc-fragment" loading="lazy" src="https://github.com/not1cyyy/CTF-Writeups/wiki/PicoCTF-:-Eavesdrop/_toc">    </include-fragment></details>
            <details class="details-reset" >  <summary>    <div class="d-flex flex-items-start">      <div        class="p-2 mt-n1 mb-n1 ml-n1 btn btn-octicon js-wiki-sidebar-toc-toggle-chevron-button ">        <svg hidden="hidden" style="box-sizing: content-box; color: var(--color-icon-primary);" width="16" height="16" viewBox="0 0 16 16" fill="none" data-view-component="true" class="js-wiki-sidebar-toc-spinner mr-0 v-align-text-bottom anim-rotate">  <circle cx="8" cy="8" r="7" stroke="currentColor" stroke-opacity="0.25" stroke-width="2" vector-effect="non-scaling-stroke" />  <path d="M15 8a7.002 7.002 0 00-7-7" stroke="currentColor" stroke-width="2" stroke-linecap="round" vector-effect="non-scaling-stroke" /></svg>        <svg aria-hidden="true" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-triangle-down js-wiki-sidebar-toc-toggle-chevron mr-0">    <path d="m4.427 7.427 3.396 3.396a.25.25 0 0 0 .354 0l3.396-3.396A.25.25 0 0 0 11.396 7H4.604a.25.25 0 0 0-.177.427Z"></path></svg>      </div>      <span> PicoCTF : Operation Oni</span>    </div>  </summary>
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            <details class="details-reset" >  <summary>    <div class="d-flex flex-items-start">      <div        class="p-2 mt-n1 mb-n1 ml-n1 btn btn-octicon js-wiki-sidebar-toc-toggle-chevron-button ">        <svg hidden="hidden" style="box-sizing: content-box; color: var(--color-icon-primary);" width="16" height="16" viewBox="0 0 16 16" fill="none" data-view-component="true" class="js-wiki-sidebar-toc-spinner mr-0 v-align-text-bottom anim-rotate">  <circle cx="8" cy="8" r="7" stroke="currentColor" stroke-opacity="0.25" stroke-width="2" vector-effect="non-scaling-stroke" />  <path d="M15 8a7.002 7.002 0 00-7-7" stroke="currentColor" stroke-width="2" stroke-linecap="round" vector-effect="non-scaling-stroke" /></svg>        <svg aria-hidden="true" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-triangle-down js-wiki-sidebar-toc-toggle-chevron mr-0">    <path d="m4.427 7.427 3.396 3.396a.25.25 0 0 0 .354 0l3.396-3.396A.25.25 0 0 0 11.396 7H4.604a.25.25 0 0 0-.177.427Z"></path></svg>      </div>      <span> PicoCTF : Sleuthkit Apprentice</span>    </div>  </summary>
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            <details class="details-reset" >  <summary>    <div class="d-flex flex-items-start">      <div        class="p-2 mt-n1 mb-n1 ml-n1 btn btn-octicon js-wiki-sidebar-toc-toggle-chevron-button ">        <svg hidden="hidden" style="box-sizing: content-box; color: var(--color-icon-primary);" width="16" height="16" viewBox="0 0 16 16" fill="none" data-view-component="true" class="js-wiki-sidebar-toc-spinner mr-0 v-align-text-bottom anim-rotate">  <circle cx="8" cy="8" r="7" stroke="currentColor" stroke-opacity="0.25" stroke-width="2" vector-effect="non-scaling-stroke" />  <path d="M15 8a7.002 7.002 0 00-7-7" stroke="currentColor" stroke-width="2" stroke-linecap="round" vector-effect="non-scaling-stroke" /></svg>        <svg aria-hidden="true" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-triangle-down js-wiki-sidebar-toc-toggle-chevron mr-0">    <path d="m4.427 7.427 3.396 3.396a.25.25 0 0 0 .354 0l3.396-3.396A.25.25 0 0 0 11.396 7H4.604a.25.25 0 0 0-.177.427Z"></path></svg>      </div>      <span> PicoCTF : st3g0</span>    </div>  </summary>
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            <details class="details-reset" >  <summary>    <div class="d-flex flex-items-start">      <div        class="p-2 mt-n1 mb-n1 ml-n1 btn btn-octicon js-wiki-sidebar-toc-toggle-chevron-button ">        <svg hidden="hidden" style="box-sizing: content-box; color: var(--color-icon-primary);" width="16" height="16" viewBox="0 0 16 16" fill="none" data-view-component="true" class="js-wiki-sidebar-toc-spinner mr-0 v-align-text-bottom anim-rotate">  <circle cx="8" cy="8" r="7" stroke="currentColor" stroke-opacity="0.25" stroke-width="2" vector-effect="non-scaling-stroke" />  <path d="M15 8a7.002 7.002 0 00-7-7" stroke="currentColor" stroke-width="2" stroke-linecap="round" vector-effect="non-scaling-stroke" /></svg>        <svg aria-hidden="true" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-triangle-down js-wiki-sidebar-toc-toggle-chevron mr-0">    <path d="m4.427 7.427 3.396 3.396a.25.25 0 0 0 .354 0l3.396-3.396A.25.25 0 0 0 11.396 7H4.604a.25.25 0 0 0-.177.427Z"></path></svg>      </div>      <span> PicoCTF : Transposition Trial</span>    </div>  </summary>
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            <details class="details-reset" open>  <summary>    <div class="d-flex flex-items-start">      <div        class="p-2 mt-n1 mb-n1 ml-n1 btn btn-octicon js-wiki-sidebar-toc-toggle-chevron-button ">        <svg hidden="hidden" style="box-sizing: content-box; color: var(--color-icon-primary);" width="16" height="16" viewBox="0 0 16 16" fill="none" data-view-component="true" class="js-wiki-sidebar-toc-spinner mr-0 v-align-text-bottom anim-rotate">  <circle cx="8" cy="8" r="7" stroke="currentColor" stroke-opacity="0.25" stroke-width="2" vector-effect="non-scaling-stroke" />  <path d="M15 8a7.002 7.002 0 00-7-7" stroke="currentColor" stroke-width="2" stroke-linecap="round" vector-effect="non-scaling-stroke" /></svg>        <svg aria-hidden="true" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-triangle-down js-wiki-sidebar-toc-toggle-chevron js-wiki-sidebar-toc-toggle-chevron-open mr-0">    <path d="m4.427 7.427 3.396 3.396a.25.25 0 0 0 .354 0l3.396-3.396A.25.25 0 0 0 11.396 7H4.604a.25.25 0 0 0-.177.427Z"></path></svg>      </div>      <span> Space Heroes CTF : Easy Crypto Challenge</span>    </div>  </summary>
   Description   Files   Solution   Recon   Execution   Flag  
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    <include-fragment class="js-wiki-sidebar-toc-fragment" loading="lazy" src="https://github.com/not1cyyy/CTF-Writeups/wiki/Space-Heroes-CTF-:-Information-Paradox/_toc">    </include-fragment></details>
            <details class="details-reset" >  <summary>    <div class="d-flex flex-items-start">      <div        class="p-2 mt-n1 mb-n1 ml-n1 btn btn-octicon js-wiki-sidebar-toc-toggle-chevron-button ">        <svg hidden="hidden" style="box-sizing: content-box; color: var(--color-icon-primary);" width="16" height="16" viewBox="0 0 16 16" fill="none" data-view-component="true" class="js-wiki-sidebar-toc-spinner mr-0 v-align-text-bottom anim-rotate">  <circle cx="8" cy="8" r="7" stroke="currentColor" stroke-opacity="0.25" stroke-width="2" vector-effect="non-scaling-stroke" />  <path d="M15 8a7.002 7.002 0 00-7-7" stroke="currentColor" stroke-width="2" stroke-linecap="round" vector-effect="non-scaling-stroke" /></svg>        <svg aria-hidden="true" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-triangle-down js-wiki-sidebar-toc-toggle-chevron mr-0">    <path d="m4.427 7.427 3.396 3.396a.25.25 0 0 0 .354 0l3.396-3.396A.25.25 0 0 0 11.396 7H4.604a.25.25 0 0 0-.177.427Z"></path></svg>      </div>      <span> Space Heroes CTF : Invisible Stargate</span>    </div>  </summary>
    <include-fragment class="js-wiki-sidebar-toc-fragment" loading="lazy" src="https://github.com/not1cyyy/CTF-Writeups/wiki/Space-Heroes-CTF-:-Invisible-Stargate/_toc">    </include-fragment></details>
            <details class="details-reset" >  <summary>    <div class="d-flex flex-items-start">      <div        class="p-2 mt-n1 mb-n1 ml-n1 btn btn-octicon js-wiki-sidebar-toc-toggle-chevron-button ">        <svg hidden="hidden" style="box-sizing: content-box; color: var(--color-icon-primary);" width="16" height="16" viewBox="0 0 16 16" fill="none" data-view-component="true" class="js-wiki-sidebar-toc-spinner mr-0 v-align-text-bottom anim-rotate">  <circle cx="8" cy="8" r="7" stroke="currentColor" stroke-opacity="0.25" stroke-width="2" vector-effect="non-scaling-stroke" />  <path d="M15 8a7.002 7.002 0 00-7-7" stroke="currentColor" stroke-width="2" stroke-linecap="round" vector-effect="non-scaling-stroke" /></svg>        <svg aria-hidden="true" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-triangle-down js-wiki-sidebar-toc-toggle-chevron mr-0">    <path d="m4.427 7.427 3.396 3.396a.25.25 0 0 0 .354 0l3.396-3.396A.25.25 0 0 0 11.396 7H4.604a.25.25 0 0 0-.177.427Z"></path></svg>      </div>      <span> Space Heroes CTF : Off The Grid</span>    </div>  </summary>
    <include-fragment class="js-wiki-sidebar-toc-fragment" loading="lazy" src="https://github.com/not1cyyy/CTF-Writeups/wiki/Space-Heroes-CTF-:-Off-The-Grid/_toc">    </include-fragment></details>
            <details class="details-reset" >  <summary>    <div class="d-flex flex-items-start">      <div        class="p-2 mt-n1 mb-n1 ml-n1 btn btn-octicon js-wiki-sidebar-toc-toggle-chevron-button ">        <svg hidden="hidden" style="box-sizing: content-box; color: var(--color-icon-primary);" width="16" height="16" viewBox="0 0 16 16" fill="none" data-view-component="true" class="js-wiki-sidebar-toc-spinner mr-0 v-align-text-bottom anim-rotate">  <circle cx="8" cy="8" r="7" stroke="currentColor" stroke-opacity="0.25" stroke-width="2" vector-effect="non-scaling-stroke" />  <path d="M15 8a7.002 7.002 0 00-7-7" stroke="currentColor" stroke-width="2" stroke-linecap="round" vector-effect="non-scaling-stroke" /></svg>        <svg aria-hidden="true" height="16" viewBox="0 0 16 16" version="1.1" width="16" data-view-component="true" class="octicon octicon-triangle-down js-wiki-sidebar-toc-toggle-chevron mr-0">    <path d="m4.427 7.427 3.396 3.396a.25.25 0 0 0 .354 0l3.396-3.396A.25.25 0 0 0 11.396 7H4.604a.25.25 0 0 0-.177.427Z"></path></svg>      </div>      <span> Space Heroes CTF : Strange Traffic</span>    </div>  </summary>
    <include-fragment class="js-wiki-sidebar-toc-fragment" loading="lazy" src="https://github.com/not1cyyy/CTF-Writeups/wiki/Space-Heroes-CTF-:-Strange-Traffic/_toc">    </include-fragment></details>
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I was trying to tell him the importance of setting a large, random private key, but he wouldn't listen. Guess security isn't as important as how many thousands of credits he can win in his next race around the system.I've recovered a message sent to him detailing the finish line. Can you decrypt the message to find the coordinates so I can beat him there? I'll give you a percentage of the score!Enter flag as shctf{x_y}, where x & y are the coordinates of the decrypted point.Hint: You may wish to consult the great Sage of Crypto for help on this challenge.<h1><svg class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg>Files</h1>ecc.txt<h1><svg class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg>Solution</h1><h2><svg class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg>Recon</h2>"large ... private key" - this means some sort of brute force might be involved :)opening the file ecc.txt we can quickly see coordinates which indicates that it's an Elliptic Curve Cryptography challenge and that's exactly what the file's name stands for !<h2><svg class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg>Execution</h2>Now this challenge is pretty much a straight forward elliptic curve cryptography, using our great friend sagemath we define what we are given above as shown below :<div class="snippet-clipboard-content notranslate position-relative overflow-auto" data-snippet-clipboard-copy-content="a = 3820149076078175358
My slingshotter cousin Maneo just discovered a new cryptography scheme and has been raving about it since. I was trying to tell him the importance of setting a large, random private key, but he wouldn't listen. Guess security isn't as important as how many thousands of credits he can win in his next race around the system.
I've recovered a message sent to him detailing the finish line. Can you decrypt the message to find the coordinates so I can beat him there? I'll give you a percentage of the score!
Enter flag as shctf{x_y}, where x & y are the coordinates of the decrypted point.
Hint: You may wish to consult the great Sage of Crypto for help on this challenge.
ecc.txt
Now this challenge is pretty much a straight forward elliptic curve cryptography, using our great friend sagemath we define what we are given above as shown below :
b = 1296618846080155687
p = 11648516937377897327
E = EllipticCurve(GF(p), [a,b])
G = E(4612592634107804164, 6359529245154327104)
PubKey = E(9140537108692473465, 10130615023776320406)">a = 3820149076078175358
b = 1296618846080155687
p = 11648516937377897327
E = EllipticCurve(GF(p), [a,b])
G = E(4612592634107804164, 6359529245154327104)
PubKey = E(9140537108692473465, 10130615023776320406)</div>As we know the decypted message in the elliptic curve cryptography is just M = Cb-(d*Ca) where d is the private key and Cb,Ca being two points on our elliptic curve, we go ahead and define these latters first:<div class="snippet-clipboard-content notranslate position-relative overflow-auto" data-snippet-clipboard-copy-content="Ca = E(7657281011886994152, 10408646581210897023)
As we know the decypted message in the elliptic curve cryptography is just M = Cb-(d*Ca) where d is the private key and Cb,Ca being two points on our elliptic curve, we go ahead and define these latters first:
Cb = E(5414448462522866853, 5822639685215517063)">Ca = E(7657281011886994152, 10408646581210897023)
Cb = E(5414448462522866853, 5822639685215517063)</div>Now for the fun part ! we need to recover the private key via a discrete_log brute force attack so we set that up :d = G.discrete_log(PubKey)Defining our message is just the mathematical expression :M = Cb-(d*Ca)Perfect ! now our decrypted message is ready so let's go ahead and print it out :print(M)looks like we get some coordinates : (8042846929834025144 : 11238981380437369357 : 1)and since the flag format is shctf{x_y} we officially found the flag !<h1><svg class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg>Flag</h1>shctf{8042846929834025144_11238981380437369357}
Now for the fun part ! we need to recover the private key via a discrete_log brute force attack so we set that up :
d = G.discrete_log(PubKey)
Defining our message is just the mathematical expression :
M = Cb-(d*Ca)
Perfect ! now our decrypted message is ready so let's go ahead and print it out :
print(M)
looks like we get some coordinates : (8042846929834025144 : 11238981380437369357 : 1)and since the flag format is shctf{x_y} we officially found the flag !
shctf{8042846929834025144_11238981380437369357}
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