A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit <a rel="external noopener" href="https://biblio.ugent.be/publication/682264/file/1252790.pdf">the original URL</a>. The file type is <code>application/pdf</code>.
Small weight codewords in the LDPC codes arising from linear representations of geometries
<span title="">2009</span>
<i title="Wiley">
<a target="_blank" rel="noopener" href="https://fatcat.wiki/container/mjl2pjx76zhcrhhd4jzxwapkn4" style="color: black;">Journal of combinatorial designs (Print)</a>
</i>
Preserved Fulltext
In this paper, we investigate the minimum distance and small weight codewords of the LDPC codes of linear representations, using only geometrical methods. First we present a new lower bound on the minimum distance and we present a number of cases in which this lower bound is sharp. Then we take a closer look at the cases T * 2 (Θ) and T * 2 (Θ) D with Θ a hyperoval, hence q even, and characterize codewords of small weight. When investigating the small weight codewords of T * 2 (Θ) D , we deal
<span class="external-identifiers">
<a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/jcd.20179">doi:10.1002/jcd.20179</a>
<a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/h7bc3r2p7ben7fgz4qu7sj7rwq">fatcat:h7bc3r2p7ben7fgz4qu7sj7rwq</a>
</span>
more »
... th the case of Θ a regular hyperoval, i.e. a conic and its nucleus, separately, since in this case, we have a larger upper bound on the weight for which the results are valid.
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170922112839/https://biblio.ugent.be/publication/682264/file/1252790.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext">
<button class="ui simple right pointing dropdown compact black labeled icon button serp-button">
<i class="icon ia-icon"></i>
Web Archive
[PDF]
<div class="menu fulltext-thumbnail">
<img src="https://blobs.fatcat.wiki/thumbnail/pdf/97/77/9777e618cb5bf6788431b7a4dc590966a1677d95.180px.jpg" alt="fulltext thumbnail" loading="lazy">
</div>
</button>
</a>
<a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/jcd.20179">
<button class="ui left aligned compact blue labeled icon button serp-button">
<i class="external alternate icon"></i>
wiley.com
</button>
</a>