the number of stages k of the register m u03b1k equ9 here since k n 1 in the case where the test sequence m is a multiple of the number of stages k of the register the exponential part t of 1 2p of each term becomes the same this shows that in the case of p 1 if u03b1 k 1 is an even number an error is missed in other words if all of input data are erroneous p 1 the case where error missing takes place differs depending on the number of data inputs n specifically in the case where n is an even number error missing in the case of p 1 takes place when the test sequence m is a multiple of n 1 k the case of m mod k 0 and in the case where n is an odd number error missing in the case of p 1 takes place when the test sequence m is double of n 1 k the case of m mod 2 k 0 from the above it is understood that the probability p of error contained in the test data to be input approaches 1 2 k asymptotically in a range of 0 lt p lt 1 and in the case of p 1 it becomes 1 k the graph in fig5 shows the error missing probability versus the test sequence m of the multi input signature register in the case of n 16 and k 17 note that a region of m lt k is not shown from this graph in fig5 the following is understood ______________________________________0 lt p lt 0 5 u2192 the missing probability pal con verges smoothly to 1 2.