| 摘要 |
<p>A generalized Reed-Solomon coding is characterized by the codeword block size n, the information block size k and the generator polynomial g(x), which is a function of β and r according to the equation: g(x)=(x+βr)(x+βr+1)(x+βr+2)(x+βr+3)(x+βr+4)...(x+βr+2t-1) where β is an element of the Galois field and r is the initial exponent for β. For decoding, an approach to finding error patterns uses a modified general form that takes advantage of properties of the generating polynomial. With the disclosed universal RS encoding-decoding approach, a user only needs to specify four parameters, namely those values (n, k, β, r), and any RS coding design specification can be met using a single framework.</p> |
