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

<table>Periodic autocorrelation function of the first row of <svg height="16.012501" id="M35" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 21.487499 16.012501" width="21.487499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,15.95)"><path d="M759 25v-25h-339v25q54 6 71.5 20.5t17.5 52.5v228h-241v-228q0 -40 17 -54q16 -13 72 -19v-25h-336v25q54 8 69 20q16 13 16 53v479q0 41 -16.5 55t-68.5 19v25h336v-25q-54 -4 -71.5 -18.5t-17.5 -55.5v-204h241v204q0 41 -17.5 55.5t-71.5 18.5v25h339v-25
q-51 -4 -69.5 -19t-18.5 -55v-479q0 -40 16 -53q15 -12 72 -20z" id="x1D407"></path></g>
<g transform="matrix(.012,-0,0,-.012,13.288,7.8)"><path d="M609 650l-19 -162l-30 -2q2 69 -14 94q-9 18 -28.5 26t-74.5 8h-88q-30 0 -37 -6.5t-12 -36.5l-41 -212h103q48 0 69 5.5t32 19t26 50.5h29l-40 -198h-30q2 58 -11.5 70.5t-85.5 12.5h-99l-30 -167q-17 -87 3 -101q18 -15 111 -15q59 0 89 7t54 27q8 7 15.5 16t16 21.5
l14 20.5t15 23.5t13.5 21.5l29 -10q-52 -129 -71 -163h-500l6 28q66 4 83 17.5t28 73.5l77 409q11 61 -0.5 75.5t-78.5 18.5l10 28h467z" id="x1D438"></path></g>
</svg> for the (127, 71)-BCH code.</table>

International Journal of Digital Multimedia Broadcasting

fig1

Figure 1

Figure 1: A Simple Scheme for Belief Propagation Decoding of BCH and RS Codes in Multimedia Transmissions 