Table 4 Maximum weight \(n_1\) and density \(\rho\) of periodic blocks (period T, number of mismatches \(n_m\))
T | \(n_m = 2\) | \(n_m = 3\) | \(n_m = 4\) | \(n_m = 5\) | \(n_m = 6\) | \(n_m = 7\) | \(n_m = 8\) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(n_1\) | \(\rho , \%\) | \(n_1\) | \(\rho , \%\) | \(n_1\) | \(\rho , \%\) | \(n_1\) | \(\rho , \%\) | \(n_1\) | \(\rho , \%\) | \(n_1\) | \(\rho , \%\) | \(n_1\) | \(\rho , \%\) | |
10 | 6 | 60.0 | 4 | 40.0 | 3 | 30.0 | 2 | 20.0 | 1 | 10.0 | 1 | 10.0 | 1 | 10.0 |
11 | 7 | 63.6 | 5 | 45.5 | 3 | 27.3 | 2 | 18.2 | 1 | 09.1 | 1 | 9.1 | 1 | 9.1 |
12 | 8 | 66.7 | 5 | 41.7 | 3 | 25.0 | 3 | 25.0 | 2 | 16.7 | 2 | 16.7 | 1 | 8.3 |
13 | 9 | 69.2 | 6 | 46.2 | 4 | 30.8 | 3 | 23.1 | 2 | 15.4 | 1 | 7.7 | 1 | 7.7 |
14 | 9 | 64.3 | 6 | 42.9 | 4 | 28.6 | 4 | 28.6 | 3 | 21.4 | 2 | 14.3 | 1 | 7.1 |
15 | 10 | 66.7 | 8 | 53.3 | 5 | 33.3 | 4 | 26.7 | 2 | 13.3 | 2 | 13.3 | 2 | 13.3 |
16 | 11 | 68.8 | 8 | 50.0 | 5 | 31.3 | 4 | 25.0 | 3 | 18.8 | 3 | 18.8 | 1 | 6.3 |
17 | 12 | 70.6 | 8 | 47.1 | 6 | 35.3 | 4 | 23.5 | 3 | 17.6 | 2 | 11.8 | 2 | 11.8 |
18 | 13 | 72.2 | 9 | 50.0 | 6 | 33.3 | 5 | 27.8 | 3 | 16.7 | 3 | 16.7 | 3 | 16.7 |
19 | 14 | 73.7 | 10 | 52.6 | 7 | 36.8 | 5 | 26.3 | 4 | 21.1 | 3 | 15.8 | 2 | 10.5 |
20 | 14 | 70.0 | 10 | 50.0 | 8 | 40.0 | 6 | 30.0 | 4 | 20.0 | 4 | 20.0 | 3 | 15.0 |
21 | 16 | 76.2 | 11 | 52.4 | 8 | 38.1 | 6 | 28.6 | 5 | 23.8 | 4 | 19.0 | 4 | 19.0 |
22 | 16 | 72.7 | 12 | 54.5 | 8 | 36.4 | 7 | 31.8 | 5 | 22.7 | 5 | 22.7 | 3 | 13.6 |
23 | 17 | 73.9 | 12 | 52.2 | 9 | 39.1 | 7 | 30.4 | 5 | 21.7 | 4 | 17.4 | 3 | 13.0 |
24 | 18 | 75.0 | 14 | 58.3 | 9 | 37.5 | 8 | 33.3 | 5 | 20.8 | 5 | 20.8 | 4 | 16.7 |
25 | 19 | 76.0 | 14 | 56.0 | 10 | 40.0 | 7 | 28.0 | 6 | 24.0 | 5 | 20.0 | 4 | 16.0 |
26 | 20 | 76.9 | 14 | 53.8 | 10 | 38.5 | 9 | 34.6 | 6 | 23.1 | 6 | 23.1 | 4 | 15.4 |
27 | 21 | 77.8 | 15 | 55.6 | 11 | 40.7 | 9 | 33.3 | 6 | 22.2 | 5 | 18.5 | 5 | 18.5 |
28 | 22 | 78.6 | 16 | 57.1 | 11 | 39.3 | 9 | 32.1 | 8 | 28.6 | 6 | 21.4 | 4 | 14.3 |
29 | 22 | 75.9 | 16 | 55.2 | 12 | 41.4 | 9 | 31.0 | 7 | 24.1 | 6 | 20.7 | 5 | 17.2 |
30 | 23 | 76.7 | 17 | 56.7 | 13 | 43.3 | 10 | 33.3 | 8 | 26.7 | 8 | 26.7 | 6 | 20.0 |
31 | 25 | 80.6 | 18 | 58.1 | 16 | 51.6 | 10 | 32.3 | 8 | 25.8 | 6 | 19.4 | 5 | 16.1 |
32 | 25 | 78.1 | 19 | 59.4 | 14 | 43.8 | 11 | 34.4 | 8 | 25.0 | 8 | 25.0 | 5 | 15.6 |
33 | 26 | 78.8 | 20 | 60.6 | 14 | 42.4 | 11 | 33.3 | 8 | 24.2 | 7 | 21.2 | 7 | 21.2 |
34 | 27 | 79.4 | 20 | 58.8 | 15 | 44.1 | 12 | 35.3 | 9 | 26.5 | 8 | 23.5 | 6 | 17.6 |
35 | 28 | 80.0 | 21 | 60.0 | 15 | 42.9 | 12 | 34.3 | 10 | 28.6 | 8 | 22.9 | 6 | 17.1 |
36 | 29 | 80.6 | 22 | 61.1 | 16 | 44.4 | 13 | 36.1 | 10 | 27.8 | 9 | 25.0 | 8 | 22.2 |
37 | 30 | 81.1 | 22 | 59.5 | 17 | 45.9 | 13 | 35.1 | 10 | 27.0 | 8 | 21.6 | 6 | 16.2 |
38 | 30 | 78.9 | 23 | 60.5 | 18 | 47.4 | 14 | 36.8 | 10 | 26.3 | 10 | 26.3 | 7 | 18.4 |
39 | 32 | 82.1 | 24 | 61.5 | 18 | 46.2 | 14 | 35.9 | 10 | 25.6 | 9 | 23.1 | 9 | 23.1 |
40 | 32 | 80.0 | 27 | 67.5 | 18 | 45.0 | 14 | 35.0 | 11 | 27.5 | 10 | 25.0 | 8 | 20.0 |
41 | 33 | 80.5 | 25 | 61.0 | 19 | 46.3 | 14 | 34.1 | 11 | 26.8 | 9 | 22.0 | 8 | 19.5 |
42 | 34 | 81.0 | 26 | 61.9 | 19 | 45.2 | 16 | 38.1 | 13 | 31.0 | 11 | 26.2 | 10 | 23.8 |
43 | 35 | 81.4 | 26 | 60.5 | 20 | 46.5 | 15 | 34.9 | 12 | 27.9 | 10 | 23.3 | 8 | 18.6 |
44 | 36 | 81.8 | 28 | 63.6 | 21 | 47.7 | 16 | 36.4 | 12 | 27.3 | 11 | 25.0 | 9 | 20.5 |
45 | 37 | 82.2 | 28 | 62.2 | 21 | 46.7 | 17 | 37.8 | 13 | 28.9 | 11 | 24.4 | 10 | 22.2 |
46 | 38 | 82.6 | 29 | 63.0 | 22 | 47.8 | 17 | 37.0 | 13 | 28.3 | 12 | 26.1 | 9 | 19.6 |
47 | 39 | 83.0 | 30 | 63.8 | 23 | 48.9 | 17 | 36.2 | 13 | 27.7 | 11 | 23.4 | 9 | 19.1 |
48 | 40 | 83.3 | 31 | 64.6 | 23 | 47.9 | 18 | 37.5 | 14 | 29.2 | 14 | 29.2 | 10 | 20.8 |
49 | 41 | 83.7 | 31 | 63.3 | 26 | 53.1 | 18 | 36.7 | 15 | 30.6 | 12 | 24.5 | 10 | 20.4 |
50 | 42 | 84.0 | 32 | 64.0 | 24 | 48.0 | 19 | 38.0 | 15 | 30.0 | 14 | 28.0 | 10 | 20.0 |