The
Berlekamp-Massey Algorithm · Initialize the following values: s(X) = 1 l = 0 b(X) = 0 · For m =1 to 2t, do the following: Compute the discrepancy : l d = å siSm-i 0 Where si is the co-efficient corresponding to X i in s(X) If d ¹ 0, do the following: s ’(X) = s(X) – dXb(X) If 2l <m , do the following: b(X) = d-1s(X) l = m - l Else (2l ³ m), do the following: b(X) = X b(X) s (X) = s’(X) Else (d = 0), do the following: b(X) = X b(X) · If the degree of s(X) ¹ l, then more than t errors have occurred and they cannot be corrected. |