Information Technology Reference
In-Depth Information
Table 2.
Comparison of the true and estimated values of
N
(
m, n
)
mn
Search Estimate
mn
Search Estimate
mn
Search Estimate
745 .0 10
9
707
895
13
5
100
100
5
16
16.1
10
63
103
6
729
738
6
27
29.5
11
2
0.857
7
3712
3842
7
16
17.7
11
4
9
9.00
8 12433
13492
8
2
1.73
5
64
64.1
9 22983
26184
8
4
10
10.5
6
343
350
10 20198
25321
5
43
43.9
7
1152
1215
11 5922
8835
6
108
118
8
2209
2479
12
481
852
7
128
140
9
1857
2190
13
22
11.5
8
50
54.3
10
533
670
14
1
0.0073
9
2
2.26
11
35
37.1
14
4
26
26.0
949 .3 12
1
0.142
5
262
262
5
48
48.1
12
4
27
27.5
6
2160
2188
6
167
173
5
222
223
7 12896
13362
7
292
326
6
1399
1430
8 53373
57579
8
249
271
7
5848
6187
9 130547 147892
9
37
54.2
8 15324
17022
10 168576 209626
10
3
1.12
9 20155
23392
11 87718
127056
10
4
18
18.0
10 10199
13865
12 14775
27624
5
110
110
11 1351
2297
13
615
1362
6
480
499
12
25
67.7
14
2
9.14
7
1216
1325
13
4
0.0996
15
0
0.0022
8
1619
1845
13
4
11
11.0
Fig. 2 shows that the estimated value of
N
(
m, n
) fits well with the true value.
So, we can say estimation function shows the value's tendency similarly. That
is, the tendency of Fig. 3 can be a partial explanation of the decaying tendency
of modular sonar sequences.
Remark 1.
Estimated values in Table 2 and two figures represent fractions of the
value given in (6) divided by
m
2
φ
(
m
), since there are at most
m
2
φ
(
m
)equivalent
but possibly distinct modular sonar sequences on
A
m
with very high probability.
Exception occurs when
g
=
f
in Eq.(3) although
u
= 1. This event occurs rarely
even at small
m
. We ignored the exceptions.
