Best found linear codes over Z9 of size 3^10:
To get more detailed infos about the codes, click on the entries in the table.
For an explanation of what the different colors mean, look
below
.
n
best
2+1+1+1+1+1+1+1+1
2+2+1+1+1+1+1+1
2+2+2+1+1+1+1
2+2+2+2+1+1
2+2+2+2+2
5
2
2
6
4
3
4
7
6
3
6
6
8
8
3
6
6
8
9
10
3
6
6
9
10
10
12
6
6
9
11
12
11
15
6
9
9
12
15
12
15
9
9
12
15
15
13
18
9
12
15
15
18
14
19
12
12
16
18
19
15
20
12
15
18
18
20
16
22
15
18
18
21
22
17
24
18
18
21
24
24
18
27
18
21
24
24
27
19
28
21
24
24
27
28
20
30
21
24
27
29
30
21
32
24
27
27
30
32
22
34
24
27
30
33
34
23
36
27
30
33
34
36
24
37
30
30
33
36
37
25
39
30
33
36
37
39
26
42
33
36
39
39
42
27
43
33
36
39
42
43
28
45
36
36
42
45
45
29
47
36
39
42
45
47
30
48
39
42
45
48
48
31
51
42
45
48
49
51
32
53
42
45
48
51
53
33
54
45
45
51
54
54
34
57
45
48
54
55
57
35
58
48
51
54
57
58
36
60
51
54
57
59
60
37
62
51
54
57
60
62
38
64
54
57
60
63
64
39
66
54
60
63
64
66
40
68
57
60
63
66
68
41
69
60
63
66
69
69
42
72
60
63
69
70
72
43
73
63
66
69
72
73
44
75
63
69
72
74
75
45
78
66
69
73
75
78
46
79
69
72
75
78
79
47
81
69
72
78
80
81
48
83
72
75
78
81
83
49
84
75
78
81
84
84
50
87
75
78
84
85
87
51
89
78
81
84
87
89
52
90
78
84
87
90
90
53
93
81
84
89
91
93
54
94
84
87
90
93
94
55
96
84
87
93
95
96
56
99
87
90
96
96
99
57
100
87
93
96
99
100
58
102
90
93
99
101
102
59
104
93
96
100
102
104
60
106
93
99
102
105
106
61
108
96
99
105
106
108
62
109
96
102
105
108
109
63
111
99
102
108
110
111
64
114
102
105
111
112
114
65
115
102
108
111
114
115
66
117
105
108
114
116
117
67
120
105
111
116
118
120
68
121
105
114
117
120
121
69
123
105
114
120
122
123
70
125
105
117
121
123
125
71
126
105
117
123
126
126
72
129
105
120
126
128
129
73
131
105
123
127
129
131
74
133
105
126
129
132
133
75
135
126
132
133
135
76
137
105
129
132
135
137
77
139
105
129
135
138
139
78
141
105
132
138
139
141
79
143
105
135
138
141
143
80
144
105
135
141
143
144
81
147
105
138
142
145
147
82
148
105
141
144
147
148
83
151
105
141
147
149
151
84
153
105
144
149
150
153
85
154
105
147
150
153
154
86
156
105
147
153
154
156
87
158
105
150
153
156
158
88
160
105
150
156
159
160
89
162
105
153
159
160
162
90
163
105
156
159
162
163
91
165
105
156
162
164
165
92
167
105
159
164
166
167
93
168
105
161
165
168
168
94
171
105
162
168
170
171
95
173
105
165
170
172
173
96
174
105
168
171
174
174
97
177
105
168
174
176
177
98
179
105
171
176
178
179
99
180
105
171
177
180
180
The color scheme indicates how the homogeneous minimum distance of the entry compares to that of other linear codes over Z9 of the same length and size 3^10.
It is as follows:
d
This code has the best minimum distance within our database, however it is possible that better ones exist.
d
This code has optimal minimum distance.
d
There are better codes of same size and length but different shape in the database.
Best found linear codes over Z9 in dependence of the size
Comparison of the Gray images for q = 3 and size = 3^10