A check sum calculation on data coded with a Reed-Solomon error correcting code
is performed by applying a byte based polynomial remaindering process to data bytes.
The polynomial is X2+X2+, over GF (28),
where is the primitive element GF (28) used to define redundancy
coding for individual data groups. The roots of the polynomial used in the polynomial
remaindering process differ from the roots of a generator polynomial of the Reed-Solomon
error correcting code. The polynomial remaindering process is performed with a
sub function mask containing the same mask function as used in defining redundancy
coding for a data group or groups. The data group or groups are redundance coded
using a Reed-Solomon code over GF (28).
