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Reed Solomon Decoder - Computation Structures Group

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<strong>Reed</strong> <strong>Solomon</strong> <strong>Decoder</strong> Concept<br />

● The first 2t powers of α are roots of any valid<br />

codeword – a test for corruption.<br />

● For corrupt messages, search for the closest<br />

polynomial that meets this criteria<br />

● Can correct up to t symbol errors or 2t symbol<br />

erasures<br />

● Intractable search made feasible by Berklekamp's<br />

algorithm for generating error locator and error<br />

evaluator polynomials<br />

11

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