A Simple Scheme for Belief Propagation Decoding of BCH and RS Codes in Multimedia Transmissions

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td align="center">RS code</td><td align="center">Matrix</td><td align="center">Rows</td><td align="center">Columns</td><td align="center">1 Symbols</td><td align="center"># 4-cycles</td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td align="center" rowspan="2"> (16, 12)</td><td align="center">BXPCM</td><td align="center">32</td><td align="center">128</td><td align="center">1621</td><td align="center">126756</td></tr><tr><td align="center">RPCM</td><td align="center">32</td><td align="center">128</td><td align="center">1519</td><td align="center">82360</td></tr><tr><td align="center" colspan="6"><hr/></td></tr><tr><td align="center" rowspan="2">
(32, 28)</td><td align="center">BXPCM</td><td align="center">32</td><td align="center">256</td><td align="center">3700</td><td align="center">854034</td></tr><tr><td align="center">RPCM</td><td align="center">32</td><td align="center">256</td><td align="center">3302</td><td align="center">502161</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Characteristics of the parity-check matrices for the (16,
12) and (32, 28) RS Codes over GF<sub>256</sub>.

International Journal of Digital Multimedia Broadcasting

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Table 2

Table 2: A Simple Scheme for Belief Propagation Decoding of BCH and RS Codes in Multimedia Transmissions 