The Manifestation of Stopping Sets and Absorbing Sets as Deviations on the Computation Trees of LDPC Codes

<div class="floats-full-page floats-full-page-other"><h2>Table 2</h2><div class="floats-full-page-caption">Number of deviations at iterations 1–5 for a <svg height="13.575" id="M279" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 32.674999 13.575" width="32.674999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.575)">
<g transform="translate(72,-61.14)">
<text transform="matrix(1,0,0,-1,-71.95,63.4)">
<tspan style="font-size: 12.50px; " x="0" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="10.414999" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="15.616247" y="0">6</tspan>
<tspan style="font-size: 12.50px; " x="21.867746" y="0">)</tspan>
</text>
</g>
</g>
</svg>-regular LDPC code.</div><div class="floats-full-page-content"><table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr /></td></tr><tr class="thead"><td align="left">  Iterations</td><td align="center"> # of deviations</td></tr><tr><td class="thead-hr" colspan="2"><hr /></td></tr><tr><td align="left">  1</td><td align="center"> 125</td></tr><tr><td align="left"> 2</td><td align="center"> 1,953,125</td></tr><tr><td align="left"> 3</td><td align="center"><span style="width: 87.25px;"><svg height="14.375" id="M280" style="vertical-align:-0.3135pt" version="1.1" viewbox="0 0 87.25 14.375" width="87.25" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.375)">
<g transform="translate(72,-60.5)">
<text transform="matrix(1,0,0,-1,-71.95,60.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="9.3772497" y="0">7</tspan>
<tspan style="font-size: 12.50px; " x="15.62875" y="0">6</tspan>
<tspan style="font-size: 12.50px; " x="21.880251" y="0">8</tspan>
<tspan style="font-size: 12.50px; " x="28.13175" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="37.158916" y="0">×</tspan>
<tspan style="font-size: 12.50px; " x="47.936501" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="54.188004" y="0">0</tspan>
</text>
<text transform="matrix(1,0,0,-1,-11.5,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">4</tspan>
</text>
</g>
</g>
</svg></span></td></tr><tr><td align="left"> 4</td><td align="center"><span style="width: 87.25px;"><svg height="14.375" id="M281" style="vertical-align:-0.3135pt" version="1.1" viewbox="0 0 87.25 14.375" width="87.25" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.375)">
<g transform="translate(72,-60.5)">
<text transform="matrix(1,0,0,-1,-71.95,60.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="9.3772497" y="0">8</tspan>
<tspan style="font-size: 12.50px; " x="15.62875" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="21.880251" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="28.13175" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="37.158916" y="0">×</tspan>
<tspan style="font-size: 12.50px; " x="47.936501" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="54.188004" y="0">0</tspan>
</text>
<text transform="matrix(1,0,0,-1,-11.5,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">3</tspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">1</tspan>
</text>
</g>
</g>
</svg></span></td></tr><tr><td align="left"> 5</td><td align="center"><span style="width: 87.25px;"><svg height="14.5" id="M282" style="vertical-align:-0.3135pt" version="1.1" viewbox="0 0 87.25 14.5" width="87.25" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.5)">
<g transform="translate(72,-60.4)">
<text transform="matrix(1,0,0,-1,-71.95,60.76)">
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<tspan style="font-size: 12.50px; " x="6.2515001" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="9.3772497" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="15.62875" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="21.880251" y="0">9</tspan>
<tspan style="font-size: 12.50px; " x="28.13175" y="0">7</tspan>
<tspan style="font-size: 12.50px; " x="37.158916" y="0">×</tspan>
<tspan style="font-size: 12.50px; " x="47.936501" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="54.188004" y="0">0</tspan>
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<text transform="matrix(1,0,0,-1,-11.5,65.93)">
<tspan style="font-size: 8.75px; " x="0" y="0">6</tspan>
<tspan style="font-size: 8.75px; " x="4.3759999" y="0">5</tspan>
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</svg></span></td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr" /></td></tr></table></td></tr></table></div></div>

Table 2 | The Manifestation of Stopping Sets and Absorbing Sets as Deviations on the Computation Trees of LDPC Codes

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Table 2: The Manifestation of Stopping Sets and Absorbing Sets as Deviations on the Computation Trees of LDPC Codes

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Table 2

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