Otherwise, there is some nonzero discrepancy associated with??[k???1] (x), Lk ???1 Lk ???1 ?? [k???1] [k???1] dk = Sk ??? Sk = Sk + ??i Sk???i = ??i Sk???i (5.9) i=1 i=0In this case we can update the connection polynomial using the formula ??[k] (x) = ??[k???1] (x) + Axl ??[m???1] (x) (5.10)where A is some element in the ???eld, l is an integer, and ??[m???1] (x) is one of the priorconnection poly