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POForward error correction using Reed-Solomon Erasure Correction
 

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  1. POForward error correction using Reed-Solomon Erasure Correction
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    <p>I have the task of encoding and decoding some bytes of sound using parity checksum method and <a href="http://en.wikipedia.org/wiki/Reed%E2%80%93Solomon_error_correction" rel="nofollow">Reed-Solomon Erasure Correction</a>. I've done my encoding for first method(parity checksum) but need help completing the second method which is detection by Reed-Solomon Erasure Correction.</p> <p>So far I know that, RS code adds <code>t</code> symbols to <code>k</code> symbols of data. So it is able to locate and correct up to <code>t/2</code> symbols or if the error locations are known so called erasures. It can correct up to <code>t</code>. For this task I have to use Galois field GF(2<sup>8</sup>) to represent each symbol as a byte. Operation addition and subtraction are based on XOR. So over all I have to employ Reed-Solomon codes that are capable of correction up to <code>t=3</code> erasures. The computation of a single Reed Solomon code in now as follow</p> <pre>C<sub>0</sub> | C<sub>1</sub> |........| C<sub>k-1</sub> | C<sub>k</sub> | C<sub>k+1</sub> | C<sub>k+2</sub></pre> <p>so the code bytes can be viewed as vector <code>c=[c<sub>0</sub>,c<sub>1</sub>,...,c<sub>k+2</sub>]</code> and a single code <code>C</code> is computed from k bytes of data as follow <code>d=[d<sub>0</sub>,d<sub>1</sub>,...,d<sub>k-1</sub>]</code>, so my encoding and decoding process require the following Vandermonde matrix F</p> <pre> 1 1 1<sup>2</sup> 1<sup>3</sup> ... 1<sup>k-1</sup> 1 2 2<sup>2</sup> 2<sup>3</sup> ... 2<sup>k-1</sup> ... 1 k+2 (k+2)<sup>2</sup> (k+2)<sup>3</sup> ... (k+2)<sup>k-1</sup> 1 k+3 (k+3)<sup>2</sup> (k+3)<sup>3</sup> ... (k+3)<sup>k-1</sup> </pre> <p>so a simple matrix vector multiplication using <code>F</code> &amp; <code>D</code> we get <code>C=F.D</code>.</p> <p>so far what I did for encoding is as follow :</p> <pre><code>#else void fox_encode(Buffer* bufin, Buffer* bufout, FoxEncData* algorithm_data){ // Your encoder for Task 2.C.3 goes in here !!! while (bufin-&gt;size &gt;= 1){ guint8 databyte = bufin-&gt;data[0]; //Pick up a byte from input buffer buffer_push_byte (bufout, databyte); //Send it 3 times buffer_push_byte (bufout, databyte); buffer_push_byte (bufout, databyte); buffer_pop (bufin, 1); //Remove it from the input buffer } } #endif </code></pre> <p>I need code to complete this code for encoding and decoding my fox_encode and fox_decode class using Reed-Solomon Erasure Correction. Any Help will be appreciated to complete this task as soon as possible.</p> <p>Thanks in advance </p>
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    1. COplease correct your formatting
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      1. POForward error correction using Reed-Solomon Erasure Correction
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    2. COWhat is the specific question?
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      1. POForward error correction using Reed-Solomon Erasure Correction
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    3. COneed a code to complete above code for endocing error detection using Reed-SOlomon Erasure Correction, also need a code for decoding by using same method.
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