. "onents of the roots are distinct values or all values modulo each prime factor of the cycle length of the underlying finite field; (b) the roots do not overlap the roots of the Reed-Solomon generator polynomial: and (c) at least one of the roots is a primitive element of the finite field; (d) no root is a power of two of any other root, and (e) the roots do not overlap any power of two of any root" . . .