Journal on Communications ›› 2021, Vol. 42 ›› Issue (3): 135-149.doi: 10.11959/j.issn.1000-436x.2021039
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Wei LI1,2,3,4, Menglin WANG1, Dawu GU2, Jiayao LI1, Tianpei CAI1, Guangwei XU1
Revised:
2020-11-05
Online:
2021-03-25
Published:
2021-03-01
Supported by:
CLC Number:
Wei LI, Menglin WANG, Dawu GU, Jiayao LI, Tianpei CAI, Guangwei XU. Ciphertext-only fault analysis of the TWINE lightweight cryptogram algorithm[J]. Journal on Communications, 2021, 42(3): 135-149.
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区分器 | 中文全称 | AES-128[ | LED-128[ | SIMON-128[ | MIBS-80[ | TWINE-80/128 |
SEI | 平方欧氏距离 | 320 | 280 | ∞ | 108 | 240/236 |
MLE | 极大似然估计 | 224 | 160 | 264 | 70 | 144/144 |
HW | 汉明权重 | 288 | 156 | — | 74 | 148/148 |
GF(goodness of fit) | 拟合优度 | — | 240 | 408 | 110 | 216/224 |
GF-SEI | 拟合优度?平方欧氏距离 | — | 212 | 376 | 86 | 224/216 |
GF-MLE | 拟合优度?极大似然估计 | — | — | 288 | 92 | 224/216 |
Parzen-HW | 窗估计?汉明权重 | — | — | — | 68 | 164/180 |
MLE-HE | 极大似然估计?直方图估计 | — | — | — | — | 132/132 |
HW-HE | 汉明权重?直方图估计 | — | — | — | — | 128/128 |
HW-MLE-HE | 汉明权重?极大似然估计?直方图估计 | — | — | — | — | 124/124 |
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区分器 | 中文全称 | 取值范围 | 对比 |
SEI | 平方欧氏距离 | 最大值 | 通过最大化实际分布和均匀分布的平方距离和,筛选最不符合均匀分布的实际分布 |
MLE | 极大似然估计 | 最大值 | 通过最大化变量的理论概率乘积,筛选出现概率最大的实际分布 |
HW | 汉明权重 | 最小值 | 通过最小化变量与相同长度零字符串的汉明距离,筛选使变量二进制字符串中1的个数最少的实际分布 |
GF | 拟合优度 | 最小值 | 通过对变量的理论个数与实际个数作运算,找出与理论分布差异最小的实际分布 |
GF-SEI | 拟合优度-平方欧氏距离 | GF取最小值,SEI取最大值 | 先使用GF筛选与理论分布较拟合的实际分布,再使用SEI筛选与均匀分布距离最大的实际分布 |
GF-MLE | 拟合优度-极大似然估计 | GF取最小值,MLE取最大值 | 先使用 GF 筛选与理论分布较拟合的实际分布,再使用 MLE 筛选似然函数值最大的实际分布 |
Parzen- HW | 窗估计?汉明权重 | Parzen取最大值, HW取最小值 | 先使用 Parzen 筛选在指定区域内样本数较多的实际分布,再使用 HW 筛选汉明距离最小的实际分布 |
MLE-HE | 极大似然估计-直方图估计 | MLE和HE均取最大值 | 先使用MLE筛选变量的理论概率乘积较大的实际分布,再使用HE筛选理论个数累加和占比最大的实际分布 |
HW-HE | 汉明权重-直方图估计 | HW取最小值,HE取最大值 | 先使用HW筛选变量二进制字符串中1的个数较少的实际分布,再使用HE筛选概率密度最大的分布 |
HW-MLE-HE | 汉明权重?极大似然估计?直方图估计 | HW取最小值, MLE和HE取最大值 | 先使用HW筛选汉明权重较小的分布,再使用MLE筛选似然函数值较大的分布,最后HE筛选概率密度最大的分布 |
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区分器 | TWINE-80 | TWINE-128 | |||
时间复杂度 | 数据复杂度 | 时间复杂度 | 数据复杂度 | ||
SEI | 227.91 | 223.91 | 227.88 | 223.88 | |
MLE | 227.26 | 223.17 | 227.26 | 223.17 | |
HW | 227.30 | 223.21 | 227.30 | 223.21 | |
GF | 228.75 | 223.75 | 228.81 | 223.81 | |
GF-SEI | 228.81 | 223.81 | 228.75 | 223.75 | |
GF-MLE | 228.81 | 223.81 | 228.75 | 223.75 | |
Parzen-HW | 228.45 | 223.36 | 228.58 | 223.49 | |
MLE-HE | 227.13 | 223.04 | 227.13 | 223.04 | |
HW-HE | 227.09 | 223.00 | 227.09 | 223.00 | |
HW-MLE-HE | 227.04 | 222.95 | 227.04 | 222.95 |
"
故障数 | SEI | MLE | HW | GF | GF-SEI | GF-MLE | Parzen-HW | MLE-HE | HW-HE | HW-MLE-HE |
0 | 65535.00/65535.00 | 65535.00/65535.00 | 65535.00/65535.00 | 65535.00/65535.00 | 65535.00/65535.00 | 65535.00/65535.00 | 65535.00/65535.00 | 65535.00/65535.00 | 65535.00/65535.00 | 65535.00/65535.00 |
1 | 65535.00/65535.00 | 4095.00/4095.00 | 4095.00/4095.00 | 4095.00/4095.00 | 4095.00/4095.00 | 4095.00/4095.00 | 4095.00/4095.00 | 4095.00/4095.00 | 4095.00/4095.00 | 4095.00/4095.00 |
2 | 4087.32/4722.52 | 255.84/288.64 | 249.80/251.20 | 2312.88/2296.44 | 256.92/260.44 | 2323.32/2299.72 | 251.32/257.12 | 253.00/253.04 | 252.12/257.92 | 252.12/257.92 |
3 | 253.32/254.44 | 15.31/16.18 | 15.02/21.31 | 756.71/769.79 | 191.23/191.91 | 773.40/770.70 | 16.62/13.59 | 16.20/17.38 | 15.41/18.72 | 15.41/18.72 |
4 | 15.91/15.37 | 5.38/5.73 | 6.76/6.81 | 60.90/58.96 | 11.52/11.10 | 59.34/58.22 | 7.31/5.58 | 6.80/5.49 | 5.83/6.05 | 5.83/6.05 |
5 | 27.27/30.61 | 3.63/3.15 | 3.26/3.11 | 21.38/21.80 | 14.34/14.13 | 20.99/21.68 | 1.09/1.55 | 0.88/0.91 | 1.41/1.51 | 1.41/1.51 |
6 | 4.28/4.95 | 2.23/3.25 | 2.31/2.51 | 0.97/1.05 | 0.90/1.14 | 0.95/1.04 | 0.89/1.22 | 0.76/0.82 | 0.81/0.71 | 0.81/0.71 |
7 | 1.10/1.22 | 1.73/1.60 | 1.42/1.93 | 1.35/1.21 | 0.59/0.92 | 1.27/1.50 | 0.67/0.56 | 0.53/0.69 | 0.77/0.49 | 0.77/0.49 |
8 | 1.49/1.90 | 1.24/1.66 | 1.72/1.46 | 1.85/1.38 | 0.24/0.33 | 1.41/1.47 | 0.28/0.37 | 0.40/0.42 | 0.28/0.51 | 0.28/0.51 |
9 | 0.81/1.23 | 1.56/1.24 | 0.97/1.17 | 1.44/1.40 | 0.30/0.26 | 2.08/1.18 | 0.23/0.18 | 0.23/0.25 | 0.24/0.33 | 0.24/0.33 |
10 | 1.18/1.10 | 1.10/1.29 | 1.27/1.17 | 1.44/1.51 | 0.28/0.23 | 1.11/1.44 | 0.15/0.14 | 0.13/0.09 | 0.13/0.19 | 0.13/0.19 |
11 | 0.30/0.36 | 1.05/1.09 | 0.99/1.21 | 0.88/0.49 | 0.10/0.11 | 0.70/0.57 | 0.18/0.11 | 0.13/0.12 | 0.12/0.09 | 0.12/0.09 |
12 | 0.47/0.40 | 0.31/0.34 | 0.70/0.83 | 0.73/0.64 | 0.11/0.09 | 0.97/0.86 | 0.08/0.07 | 0.05/0.09 | 0.12/0.13 | 0.12/0.13 |
13 | 0.34/0.25 | 0.33/0.20 | 0.65/0.95 | 0.37/0.26 | 0.02/0.03 | 0.27/0.36 | 0.11/0.08 | 0.02/0.02 | 0.03/0.04 | 0.03/0.04 |
14 | 0.13/0.15 | 0.24/0.15 | 0.66/0.77 | 0.13/0.33 | 0.02/0.02 | 0.20/0.21 | 0.02/0.07 | 0.03/0.01 | 0.05/0.06 | 0.05/0.06 |
15 | 0.25/0.13 | 0.30/0.24 | 0.38/0.66 | 0.13/0.21 | 0.02/0.05 | 0.27/0.37 | 0.02/0.09 | 0.02/0.02 | 0.03/0.05 | 0.03/0.05 |
16 | 0.18/0.26 | 0.35/0.18 | 0.66/0.44 | 0.18/0.22 | 0.04/0.05 | 0.25/0.20 | 0.04/0.02 | 0.00/0.03 | 0.04/0.04 | 0.04/0.04 |
17 | 0.05/0.07 | 0.20/0.15 | 0.35/0.65 | 0.14/0.19 | 0.00/0.02 | 0.11/0.21 | 0.07/0.02 | 0.02/0.00 | 0.03/0.02 | 0.03/0.02 |
18 | 0.18/0.09 | 0.15/0.12 | 0.42/0.55 | 0.18/0.23 | 0.03/0.02 | 0.27/0.17 | 0.02/0.03 | 0.01/0.02 | 0.01/0.00 | 0.01/0.00 |
19 | 0.09/0.10 | 0.12/0.15 | 0.33/0.29 | 0.17/0.13 | 0.03/0.02 | 0.16/0.13 | 0.06/0.03 | 0.02/0.02 | 0.04/0.02 | 0.04/0.02 |
20 | 0.06/0.06 | 0.05/0.12 | 0.30/0.34 | 0.15/0.16 | 0.00/0.01 | 0.17/0.12 | 0.03/0.01 | 0.03/0.01 | 0.02/0.01 | 0.02/0.01 |
21 | 0.10/0.03 | 0.06/0.07 | 0.32/0.29 | 0.17/0.18 | 0.00/0.00 | 0.12/0.16 | 0.03/0.01 | 0.00/0.00 | 0.02/0.00 | 0.02/0.00 |
22 | 0.10/0.08 | 0.07/0.07 | 0.32/0.26 | 0.09/0.08 | 0.00/0.01 | 0.11/0.05 | 0.01/0.00 | 0.00/0.00 | 0.02/0.00 | 0.02/0.00 |
23 | 0.03/0.02 | 0.11/0.08 | 0.21/0.35 | 0.04/0.10 | 0.01/0.00 | 0.10/0.07 | 0.00/0.00 | 0.00/0.00 | 0.02/0.00 | 0.02/0.00 |
24 | 0.01/0.06 | 0.03/0.06 | 0.12/0.14 | 0.13/0.09 | 0.01/0.01 | 0.20/0.16 | 0.01/0.01 | 0.00/0.00 | 0.00/0.01 | 0.00/0.01 |
25 | 0.03/0.03 | 0.12/0.07 | 0.20/0.14 | 0.07/0.08 | 0.00/0.00 | 0.09/0.07 | 0.02/0.00 | 0.01/0.00 | 0.00/0.02 | 0.00/0.02 |
26 | 0.04/0.07 | 0.03/0.02 | 0.09/0.23 | 0.02/0.07 | 0.00/0.00 | 0.06/0.05 | 0.01/0.00 | 0.00/0.00 | 0.00/0.00 | 0.00/0.00 |
27 | 0.07/0.02 | 0.02/0.06 | 0.06/0.25 | 0.05/0.03 | 0.00/0.00 | 0.03/0.05 | 0.00/0.00 | 0.00/0.00 | 0.00/0.00 | 0.00/0.00 |
28 | 0.04/0.06 | 0.02/0.06 | 0.07/0.09 | 0.08/0.06 | 0.01/0.00 | 0.05/0.11 | 0.00/0.00 | 0.00/0.01 | 0.00/0.01 | 0.00/0.01 |
29 | 0.02/0.02 | 0.04/0.02 | 0.07/0.07 | 0.06/0.02 | 0.00/0.00 | 0.02/0.02 | 0.00/0.00 | 0.00/0.00 | 0.00/0.01 | 0.00/0.01 |
30 | 0.06/0.03 | 0.06/0.03 | 0.07/0.07 | 0.01/0.02 | 0.00/0.00 | 0.02/0.05 | 0.02/0.00 | 0.00/0.00 | 0.00/0.00 | 0.00/0.00 |
31 | 0.01/0.00 | 0.02/0.00 | 0.03/0.03 | 0.02/0.03 | 0.00/0.01 | 0.02/0.04 | 0.00/0.01 | 0.00/0.00 | 0.00/0.00 | 0.00/0.00 |
32 | 0.05/0.04 | 0.01/0.02 | 0.05/0.05 | 0.03/0.03 | 0.00/0.00 | 0.02/0.01 | 0.00/0.01 | 0.00/0.00 | 0.00/0.00 | — |
33 | 0.03/0.01 | 0.04/0.00 | 0.02/0.02 | 0.02/0.02 | 0.00/0.00 | 0.05/0.00 | 0.00/0.00 | 0.00/0.00 | — | — |
34 | 0.01/0.00 | 0.01/0.01 | 0.02/0.03 | 0.04/0.04 | 0.00/0.00 | 0.01/0.00 | 0.00/0.00 | — | — | — |
35 | 0.02/0.02 | 0.01/0.00 | 0.00/0.04 | 0.00/0.00 | 0.00/0.00 | 0.02/0.03 | 0.00/0.00 | — | — | — |
"
故障数 | SEI | MLE | HW | GF | GF-SEI | GF-MLE | Parzen-HW | MLE-HE | HW-HE | HW-MLE-HE |
36 | 0.04/0.01 | 0.00/0.00 | 0.02/0.03 | 0.01/0.02 | 0.00/0.00 | 0.01/0.02 | 0.00/0.00 | — | — | — |
37 | 0.02/0.02 | — | 0.00/0.00 | 0.01/0.00 | 0.00/0.00 | 0.01/0.00 | 0.00/0.00 | — | — | — |
38 | 0.01/0.01 | — | — | 0.02/0.02 | 0.00/0.00 | 0.00/0.02 | 0.00/0.00 | — | — | — |
39 | 0.02/0.00 | — | — | 0.00/0.03 | 0.00/0.00 | 0.02/0.01 | 0.00/0.00 | — | — | — |
40 | 0.03/0.02 | — | — | 0.01/0.01 | 0.00/0.00 | 0.00/0.02 | 0.00/0.00 | — | — | — |
41 | 0.02/0.00 | — | — | 0.00/0.02 | 0.00/0.00 | 0.01/0.02 | 0.00/0.00 | — | — | — |
42 | 0.01/0.00 | — | — | 0.01/0.01 | 0.00/0.00 | 0.00/0.00 | —/0.00 | — | — | — |
43 | 0.00/0.01 | — | — | 0.01/0.00 | 0.00/0.00 | 0.00/0.00 | —/0.00 | — | — | — |
44 | 0.02/0.00 | — | — | 0.00/0.02 | 0.00/0.00 | 0.00/0.00 | —/0.00 | — | — | — |
45 | 0.00/0.00 | — | — | 0.00/0.01 | 0.00/0.00 | 0.00/0.00 | —/0.00 | — | — | — |
46 | 0.00/0.03 | — | — | 0.00/0.00 | 0.00/0.00 | 0.00/0.00 | — | — | — | — |
47 | 0.01/0.01 | — | — | 0.00/0.01 | 0.00/0.00 | 0.00/0.00 | — | — | — | — |
48 | 0.01/0.00 | — | — | 0.01/0.02 | 0.00/0.00 | 0.00/0.00 | — | — | — | — |
49 | 0.01/0.01 | — | — | 0.00/0.01 | 0.00/0.00 | 0.00/0.00 | — | — | — | — |
50 | 0.00/0.00 | — | — | 0.00/0.00 | 0.00/0.00 | 0.01/0.01 | — | — | — | — |
51 | 0.00/0.00 | — | — | 0.00/0.01 | 0.00/0.00 | 0.00/0.01 | — | — | — | — |
52 | 0.00/0.01 | — | — | 0.00/0.00 | 0.00/0.00 | 0.00/0.00 | — | — | — | — |
53 | 0.00/0.00 | — | — | 0.01/0.01 | 0.00/0.00 | 0.00/0.00 | — | — | — | — |
54 | 0.00/0.01 | — | — | 0.00/0.00 | 0.00/0.00 | 0.00/0.00 | — | — | — | — |
55 | 0.00/0.00 | — | — | —/0.00 | 0.00/— | 0.00/— | — | — | — | — |
56 | 0.00/0.00 | — | — | —/0.00 | 0.00/— | 0.00/— | — | — | — | — |
57 | 0.00/0.00 | — | — | — | — | — | — | — | — | — |
58 | 0.00/0.00 | — | — | — | — | — | — | — | — | — |
59 | 0.00/0.00 | — | — | — | — | — | — | — | — | — |
60 | 0.00/- | — | — | — | — | — | — | — | — | — |
"
故障数 | SEI | MLE | HW | GF | GF-SEI | GF-MLE | Parzen-HW | MLE-HE | HW-HE | HW-MLE-HE |
0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 |
1 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 |
2 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 |
3 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 |
4 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 | 0/0 |
5 | 0/0 | 1/0 | 2/1 | 0/0 | 0/0 | 0/0 | 2/4 | 1/1 | 1/2 | 2/0 |
6 | 0/0 | 1/0 | 0/1 | 0/0 | 0/0 | 1/0 | 1/3 | 1/3 | 1/1 | 2/2 |
7 | 2/0 | 1/2 | 1/2 | 0/1 | 1/1 | 4/1 | 3/10 | 4/6 | 2/7 | 3/5 |
8 | 0/1 | 6/4 | 1/5 | 1/1 | 0/1 | 1/1 | 8/4 | 6/11 | 2/6 | 7/6 |
9 | 1/0 | 5/9 | 7/7 | 1/1 | 1/1 | 1/0 | 5/11 | 8/8 | 11/10 | 9/8 |
10 | 2/0 | 7/12 | 9/12 | 2/7 | 3/2 | 3/0 | 10/6 | 12/13 | 10/14 | 10/15 |
11 | 1/4 | 19/18 | 19/13 | 4/4 | 3/5 | 7/2 | 20/12 | 18/13 | 17/16 | 21/21 |
12 | 1/1 | 15/19 | 12/14 | 1/2 | 2/3 | 3/4 | 16/13 | 15/21 | 20/22 | 21/16 |
13 | 3/3 | 21/21 | 27/26 | 2/2 | 1/4 | 2/3 | 16/20 | 17/15 | 19/33 | 21/22 |
14 | 6/8 | 28/26 | 26/36 | 2/3 | 4/3 | 4/7 | 16/21 | 35/30 | 36/33 | 23/27 |
15 | 2/6 | 31/37 | 30/39 | 7/7 | 3/10 | 6/11 | 31/32 | 29/30 | 35/36 | 43/44 |
16 | 5/11 | 35/30 | 51/33 | 6/7 | 7/10 | 5/12 | 34/22 | 39/31 | 44/36 | 40/44 |
"
故障数 | SEI | MLE | HW | GF | GF-SEI | GF-MLE | Parzen-HW | MLE-HE | HW-HE | HW-MLE-HE |
17 | 10/10 | 43/46 | 52/43 | 7/8 | 11/9 | 11/9 | 37/31 | 50/46 | 40/47 | 49/43 |
18 | 15/10 | 47/46 | 44/53 | 11/8 | 15/14 | 12/8 | 31/45 | 50/53 | 53/45 | 50/49 |
19 | 15/17 | 58/47 | 54/56 | 18/21 | 17/14 | 11/17 | 42/45 | 56/59 | 62/57 | 55/57 |
20 | 15/13 | 56/61 | 53/57 | 21/8 | 23/21 | 17/6 | 46/40 | 67/65 | 66/59 | 63/61 |
21 | 16/15 | 61/57 | 65/64 | 22/22 | 17/20 | 24/21 | 55/48 | 73/61 | 64/61 | 68/64 |
22 | 23/16 | 64/65 | 61/61 | 18/22 | 24/18 | 14/28 | 61/49 | 72/75 | 64/68 | 68/65 |
23 | 29/21 | 70/72 | 75/69 | 24/25 | 24/27 | 23/25 | 52/50 | 69/67 | 78/68 | 76/74 |
24 | 21/23 | 79/76 | 71/71 | 32/23 | 40/30 | 23/26 | 56/56 | 74/84 | 74/74 | 81/75 |
25 | 24/20 | 75/76 | 74/76 | 29/31 | 28/30 | 35/25 | 68/55 | 85/77 | 75/75 | 73/78 |
26 | 28/25 | 83/78 | 77/78 | 38/32 | 41/38 | 36/31 | 63/65 | 81/78 | 86/84 | 88/81 |
27 | 34/26 | 86/81 | 84/83 | 22/38 | 39/26 | 42/33 | 63/74 | 89/84 | 85/82 | 87/86 |
28 | 38/33 | 82/85 | 88/79 | 37/44 | 37/33 | 37/37 | 80/73 | 87/86 | 90/87 | 86/87 |
29 | 34/45 | 84/89 | 85/80 | 30/40 | 51/46 | 39/44 | 77/75 | 88/92 | 88/89 | 87/89 |
30 | 42/34 | 89/90 | 90/87 | 50/32 | 49/45 | 34/44 | 86/66 | 90/87 | 88/89 | 94/90 |
31 | 43/36 | 90/92 | 92/88 | 47/45 | 46/48 | 54/36 | 76/76 | 91/89 | 93/91 | 99/99 |
32 | 53/45 | 92/93 | 96/94 | 57/54 | 50/53 | 52/51 | 84/82 | 94/95 | 99/99 | — |
33 | 41/47 | 95/92 | 96/94 | 64/60 | 55/49 | 49/63 | 82/79 | 99/99 | — | — |
34 | 48/58 | 94/96 | 93/92 | 63/57 | 61/64 | 61/59 | 83/86 | — | — | — |
35 | 54/58 | 97/93 | 95/95 | 60/66 | 64/63 | 68/66 | 88/87 | — | — | — |
36 | 56/54 | 99/99 | 94/96 | 71/57 | 61/51 | 69/71 | 90/86 | — | — | — |
37 | 60/58 | — | 99/99 | 70/65 | 68/64 | 72/72 | 91/97 | — | — | — |
38 | 66/62 | — | — | 66/75 | 72/70 | 73/62 | 87/90 | — | — | — |
39 | 75/64 | — | — | 74/73 | 76/74 | 75/80 | 94/94 | — | — | — |
40 | 76/76 | — | — | 68/69 | 72/80 | 70/78 | 92/91 | — | — | — |
41 | 71/76 | — | — | 76/78 | 74/75 | 79/77 | 99/93 | — | — | — |
42 | 69/67 | — | — | 72/83 | 82/80 | 82/82 | —/93 | — | — | — |
43 | 70/81 | — | — | 85/84 | 84/76 | 78/83 | —/91 | — | — | — |
44 | 78/80 | — | — | 82/85 | 82/87 | 91/80 | —/96 | — | — | — |
45 | 77/86 | — | — | 88/85 | 86/93 | 85/88 | —/99 | — | — | — |
46 | 84/81 | — | — | 90/84 | 90/90 | 89/85 | — | — | — | — |
47 | 85/77 | — | — | 85/87 | 92/86 | 88/88 | — | — | — | — |
48 | 90/86 | — | — | 85/86 | 91/88 | 84/88 | — | — | — | — |
49 | 81/86 | — | — | 88/93 | 92/92 | 92/88 | — | — | — | — |
50 | 88/98 | — | — | 91/90 | 94/93 | 94/91 | — | — | — | — |
51 | 90/89 | — | — | 95/92 | 88/93 | 90/92 | — | — | — | — |
52 | 90/86 | — | — | 92/92 | 94/93 | 93/95 | — | — | — | — |
53 | 96/91 | — | — | 93/92 | 94/93 | 90/92 | — | — | — | — |
54 | 93/96 | — | — | 99/91 | 92/99 | 92/99 | — | — | — | — |
55 | 95/93 | — | — | —/94 | 92/— | 94/— | — | — | — | — |
56 | 98/91 | — | — | —/99 | 99/— | 99/— | — | — | — | — |
57 | 94/95 | — | — | — | — | — | — | — | — | — |
58 | 98/95 | — | — | — | — | — | — | — | — | — |
59 | 95/100 | — | — | — | — | — | — | — | — | — |
60 | 99/- | — | — | — | — | — | — | — | — | — |
"
故障数 | SEI | MLE | HW | GF | GF-SEI | GF-MLE | Parzen-HW | MLE-HE | HW-HE | HW-MLE-HE |
0 | 1.20/1.06 | 1.73/1.73 | 0.64/0.66 | 1.63/1.61 | 2.19/1.22 | 1.72/2.95 | 1.03/0.95 | 2.06/2.08 | 1.17/1.34 | 1.27/1.39 |
1 | 1.08/1.05 | 1.91/1.91 | 0.81/0.80 | 1.72/1.70 | 1.64/1.69 | 1.70/1.70 | 1.17/1.09 | 2.17/1.92 | 1.02/1.34 | 1.42/1.42 |
2 | 1.08/1.06 | 2.06/2.05 | 0.83/0.84 | 1.83/1.80 | 1.73/1.77 | 1.70/1.70 | 1.25/1.23 | 2.25/1.94 | 0.92/1.08 | 1.30/1.27 |
3 | 1.09/1.09 | 2.16/2.14 | 0.81/0.84 | 1.86/1.80 | 1.73/1.78 | 1.67/1.72 | 1.36/1.23 | 2.42/2.12 | 1.03/1.27 | 1.39/1.39 |
4 | 1.14/1.13 | 2.25/2.22 | 0.86/0.86 | 1.87/1.83 | 1.89/1.92 | 1.80/1.81 | 1.39/1.28 | 2.48/2.17 | 0.97/1.20 | 1.36/1.36 |
5 | 1.17/1.17 | 2.34/2.31 | 0.87/0.87 | 1.95/1.89 | 1.92/1.98 | 1.84/1.87 | 1.41/1.31 | 2.58/2.23 | 1.00/1.20 | 1.36/1.38 |
6 | 1.20/1.19 | 2.42/2.42 | 0.91/0.91 | 1.98/1.95 | 1.87/1.94 | 1.80/2.05 | 1.42/1.31 | 2.66/2.31 | 1.03/1.39 | 1.42/1.42 |
7 | 1.23/1.22 | 2.52/2.48 | 0.94/0.94 | 2.03/1.95 | 1.92/1.97 | 1.83/2.19 | 1.45/1.39 | 2.75/2.62 | 1.03/1.34 | 1.44/1.42 |
8 | 1.28/1.25 | 2.56/2.56 | 0.97/0.95 | 2.08/2.02 | 1.95/2.02 | 1.94/2.22 | 1.50/1.41 | 2.78/2.80 | 1.08/1.27 | 1.47/1.45 |
9 | 1.30/1.31 | 2.66/2.59 | 0.98/0.97 | 2.13/2.06 | 1.98/2.03 | 2.20/2.22 | 1.53/1.41 | 2.84/2.81 | 1.08/1.33 | 1.48/1.48 |
10 | 1.33/1.33 | 2.70/2.64 | 1.00/1.03 | 2.19/2.09 | 2.05/2.09 | 2.23/2.33 | 1.53/1.45 | 2.86/2.86 | 1.11/1.30 | 1.50/1.50 |
11 | 1.39/1.36 | 2.72/2.69 | 1.03/1.05 | 2.20/2.16 | 2.08/2.13 | 2.28/2.47 | 1.58/1.47 | 2.91/2.94 | 1.13/1.34 | 1.53/1.53 |
12 | 1.36/1.38 | 2.75/2.77 | 1.08/1.08 | 2.22/2.17 | 2.11/2.17 | 2.30/3.03 | 1.62/1.50 | 2.97/2.97 | 1.14/1.38 | 1.55/1.56 |
13 | 1.42/1.41 | 2.80/2.80 | 1.09/1.09 | 2.28/2.23 | 2.14/2.17 | 2.34/2.62 | 1.66/1.53 | 3.01/3.00 | 1.17/1.42 | 1.61/1.58 |
14 | 1.45/1.44 | 2.84/2.81 | 1.11/1.13 | 2.30/2.23 | 2.17/2.17 | 2.34/2.44 | 1.70/1.56 | 3.03/3.06 | 1.22/1.44 | 1.63/1.61 |
15 | 1.47/1.45 | 2.88/2.86 | 1.16/1.16 | 2.38/2.28 | 2.20/2.23 | 2.41/2.62 | 1.73/1.59 | 3.08/3.06 | 1.23/1.47 | 1.69/1.69 |
16 | 1.44/1.59 | 2.89/2.86 | 1.19/1.20 | 2.39/2.30 | 2.23/2.25 | 2.42/2.48 | 1.70/1.59 | 3.11/3.08 | 1.28/1.48 | 1.72/1.77 |
17 | 1.70/1.72 | 2.91/2.94 | 1.23/1.23 | 2.42/2.34 | 2.25/2.30 | 2.47/3.41 | 1.75/1.63 | 3.12/3.12 | 1.41/1.53 | 1.75/1.92 |
18 | 1.77/1.72 | 2.98/2.92 | 1.27/1.30 | 2.45/2.41 | 2.31/2.33 | 2.48/2.84 | 1.80/1.69 | 3.16/3.14 | 1.56/1.55 | 1.78/1.78 |
19 | 1.81/1.78 | 3.00/2.97 | 1.28/1.28 | 2.42/2.34 | 2.27/2.31 | 2.47/2.66 | 1.80/1.69 | 3.20/3.19 | 1.59/1.61 | 1.83/1.80 |
20 | 1.80/1.78 | 3.02/2.98 | 1.33/1.33 | 2.50/2.47 | 2.37/2.39 | 2.55/2.67 | 1.84/1.72 | 3.20/3.22 | 1.59/1.61 | 1.84/1.84 |
21 | 1.84/1.83 | 3.06/3.02 | 1.36/1.34 | 2.58/2.42 | 2.34/2.39 | 2.58/2.89 | 1.91/1.75 | 3.22/3.22 | 1.69/1.69 | 1.92/1.83 |
22 | 1.86/1.84 | 3.08/3.03 | 1.38/1.38 | 2.61/2.52 | 2.41/2.45 | 2.66/3.05 | 1.94/1.77 | 3.27/3.25 | 1.73/1.72 | 1.92/1.91 |
23 | 1.88/1.84 | 3.08/3.06 | 1.39/1.41 | 2.64/2.52 | 2.45/2.52 | 2.69/2.89 | 1.98/1.83 | 3.30/3.28 | 1.75/1.73 | 1.97/1.89 |
24 | 1.91/1.89 | 3.11/3.13 | 1.41/1.42 | 2.62/2.58 | 2.47/2.52 | 2.67/3.17 | 1.95/1.84 | 3.31/3.37 | 1.73/1.70 | 1.94/1.92 |
25 | 1.91/1.89 | 3.13/3.12 | 1.44/1.44 | 2.69/2.59 | 2.50/2.56 | 2.70/2.97 | 1.98/1.84 | 3.34/3.53 | 1.73/1.73 | 1.98/1.95 |
26 | 1.95/1.94 | 3.19/3.16 | 1.47/1.48 | 2.72/2.67 | 2.55/2.61 | 2.76/2.83 | 2.00/1.88 | 3.41/3.39 | 1.78/1.80 | 2.00/2.02 |
27 | 1.95/1.98 | 3.20/3.17 | 1.49/1.48 | 2.72/2.64 | 2.56/2.61 | 2.77/2.87 | 2.03/1.91 | 3.44/3.41 | 1.83/1.81 | 2.05/2.00 |
28 | 2.02/2.00 | 3.25/3.20 | 1.52/1.52 | 2.78/2.72 | 2.63/2.66 | 2.81/2.94 | 2.08/1.95 | 3.44/3.41 | 1.83/1.84 | 2.06/2.03 |
29 | 2.03/2.03 | 3.27/3.23 | 1.56/1.53 | 2.81/2.72 | 2.62/2.69 | 2.83/3.16 | 2.08/1.97 | 3.44/3.48 | 1.88/1.86 | 2.11/2.06 |
30 | 2.19/2.16 | 3.27/3.25 | 1.58/1.59 | 2.83/2.75 | 2.67/2.83 | 2.87/3.10 | 2.17/1.97 | 3.46/3.48 | 1.91/1.91 | 2.14/2.11 |
31 | 2.16/2.14 | 3.31/3.30 | 1.62/1.63 | 2.86/2.83 | 2.70/2.78 | 3.03/3.66 | 2.19/2.06 | 3.51/3.48 | 1.97/1.95 | 2.17/2.14 |
32 | 2.11/2.11 | 3.36/3.33 | 1.66/1.66 | 2.91/2.98 | 2.72/2.89 | 3.03/3.48 | 2.14/1.98 | 3.52/3.55 | 1.95/1.84 | — |
33 | 2.20/2.25 | 3.36/3.36 | 1.67/1.68 | 2.92/2.91 | 2.80/2.95 | 2.98/3.31 | 2.22/2.11 | 3.61/3.58 | — | — |
34 | 2.27/2.23 | 3.39/3.36 | 1.72/1.73 | 2.94/2.89 | 2.80/2.92 | 3.05/3.58 | 2.22/2.08 | — | — | — |
35 | 2.31/2.27 | 3.44/3.44 | 1.77/1.80 | 2.98/2.89 | 2.80/2.88 | 3.09/3.41 | 2.30/2.11 | — | — | — |
36 | 2.27/2.30 | 3.45/3.45 | 1.77/1.77 | 3.00/2.92 | 2.81/2.87 | 3.09/3.30 | 2.28/2.16 | — | — | — |
37 | 2.34/2.31 | — | 1.80/1.80 | 3.05/2.98 | 2.86/2.92 | 3.11/3.28 | 2.33/2.16 | — | — | — |
38 | 2.33/2.36 | — | — | 3.06/3.05 | 2.91/2.98 | 3.14/3.34 | 2.36/2.22 | — | — | — |
39 | 2.39/2.34 | — | — | 3.17/3.03 | 2.92/2.97 | 3.20/3.66 | 2.45/2.20 | — | — | — |
"
故障数 | SEI | MLE | HW | GF | GF-SEI | GF-MLE | Parzen-HW | MLE-HE | HW-HE | HW-MLE-HE |
40 | 2.44/2.42 | — | — | 3.20/3.09 | 3.02/3.06 | 3.23/3.73 | 2.64/2.30 | — | — | — |
41 | 2.45/2.44 | — | — | 3.25/3.08 | 2.98/3.03 | 3.30/3.61 | 2.56/2.36 | — | — | — |
42 | 2.50/2.50 | — | — | 3.83/3.14 | 3.06/3.11 | 3.31/3.67 | —/2.34 | — | — | — |
43 | 2.52/2.45 | — | — | 3.31/3.16 | 3.05/3.09 | 3.45/3.67 | —/2.33 | — | — | — |
44 | 2.58/2.48 | — | — | 3.31/3.14 | 3.06/3.11 | 3.50/3.87 | —/2.33 | — | — | — |
45 | 2.56/2.52 | — | — | 3.36/3.22 | 3.11/3.16 | 3.53/3.56 | —/2.39 | — | — | — |
46 | 2.58/2.53 | — | — | 3.41/3.30 | 3.12/3.16 | 3.50/3.53 | — | — | — | — |
47 | 2.59/2.56 | — | — | 3.37/3.44 | 3.22/3.19 | 3.52/3.55 | — | — | — | — |
48 | 2.67/2.61 | — | — | 3.37/3.33 | 3.25/3.22 | 3.53/3.62 | — | — | — | — |
49 | 2.64/2.61 | — | — | 3.41/3.34 | 3.25/3.23 | 3.59/3.73 | — | — | — | — |
50 | 2.69/2.64 | — | — | 3.48/3.34 | 3.26/3.27 | 3.66/3.77 | — | — | — | — |
51 | 2.70/2.67 | — | — | 3.55/3.39 | 3.31/3.33 | 3.67/3.80 | — | — | — | — |
52 | 2.75/2.70 | — | — | 3.56/3.44 | 3.31/3.36 | 3.94/3.83 | — | — | — | — |
53 | 2.77/2.72 | — | — | 3.62/3.44 | 3.34/3.34 | 3.76/3.87 | — | — | — | — |
54 | 2.80/2.75 | — | — | 3.61/3.45 | 3.37/3.37 | 3.77/4.16 | — | — | — | — |
55 | 2.83/2.77 | — | — | —/3.47 | 3.39/— | 3.80/— | — | — | — | — |
56 | 2.91/2.83 | — | — | —/3.53 | 3.51/— | 3.89/— | — | — | — | — |
57 | 2.91/2.83 | — | — | — | — | — | — | — | — | — |
58 | 2.95/2.87 | — | — | — | — | — | — | — | — | — |
59 | 3.00/2.92 | — | — | — | — | — | — | — | — | — |
60 | 3.05/- | — | — | — | — | — | — | — | — | — |
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