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Alex Nelson<p>Project idea: formalize error correcting codes in Mizar.</p><p>Error-correcting codes are a beautiful subject, mostly because they&#39;re linear algebra over finite fields (and linear algebra is beautiful).</p><p>But there are exceptional connections in the subject: the Golay code and the Leech lattice especially connect with disparate subjects.</p><p>To give one sense of connection, I gave Robert A Wilson&#39;s construction of the Leech lattice using the octonions as a &quot;milestone&quot;.</p><p><a href="https://mathstodon.xyz/tags/Mizar" class="mention hashtag" rel="tag">#<span>Mizar</span></a> <a href="https://mathstodon.xyz/tags/ProofAssistant" class="mention hashtag" rel="tag">#<span>ProofAssistant</span></a> <a href="https://mathstodon.xyz/tags/ErrorCorrectingCodes" class="mention hashtag" rel="tag">#<span>ErrorCorrectingCodes</span></a> <a href="https://mathstodon.xyz/tags/LeechLattice" class="mention hashtag" rel="tag">#<span>LeechLattice</span></a> <a href="https://mathstodon.xyz/tags/LinearAlgebra" class="mention hashtag" rel="tag">#<span>LinearAlgebra</span></a> <a href="https://mathstodon.xyz/tags/Octonions" class="mention hashtag" rel="tag">#<span>Octonions</span></a> <a href="https://mathstodon.xyz/tags/GolayCode" class="mention hashtag" rel="tag">#<span>GolayCode</span></a> </p><p><a href="https://thmprover.wordpress.com/2025/01/09/from-error-correcting-codes-to-the-leech-lattice/" target="_blank" rel="nofollow noopener noreferrer" translate="no"><span class="invisible">https://</span><span class="ellipsis">thmprover.wordpress.com/2025/0</span><span class="invisible">1/09/from-error-correcting-codes-to-the-leech-lattice/</span></a></p>
IT News<p>Archiving Data On Paper Using 2D Images - It seems like only yesterday we covered a project using QR codes to archive data o... - <a href="https://hackaday.com/2024/09/15/archiving-data-on-paper-using-2d-images/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">hackaday.com/2024/09/15/archiv</span><span class="invisible">ing-data-on-paper-using-2d-images/</span></a> <a href="https://schleuss.online/tags/errorcorrection" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>errorcorrection</span></a> <a href="https://schleuss.online/tags/hammingdistance" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>hammingdistance</span></a> <a href="https://schleuss.online/tags/softwarehacks" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>softwarehacks</span></a> <a href="https://schleuss.online/tags/laserprinter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>laserprinter</span></a> <a href="https://schleuss.online/tags/datacoding" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>datacoding</span></a> <a href="https://schleuss.online/tags/archiving" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>archiving</span></a> <a href="https://schleuss.online/tags/golaycode" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>golaycode</span></a> <a href="https://schleuss.online/tags/scanner" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>scanner</span></a> <a href="https://schleuss.online/tags/qrcode" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>qrcode</span></a> <a href="https://schleuss.online/tags/fec" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fec</span></a></p>