Best found linear codes over Z9 of size 3^7:
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
2+2+1+1+1
2+2+2+1
4
3
3
5
4
3
4
6
6
3
6
6
7
9
6
6
9
8
11
6
9
11
9
12
9
12
12
10
15
12
13
15
11
18
15
15
18
12
18
18
18
18
13
21
18
18
21
14
22
18
21
22
15
24
21
24
24
16
27
21
24
27
17
29
24
27
29
18
30
27
30
30
19
32
27
30
32
20
34
30
33
34
21
36
33
36
36
22
39
36
36
39
23
40
36
39
40
24
42
36
40
42
25
45
39
42
45
26
46
42
45
46
27
48
42
46
48
28
51
45
48
51
29
54
48
51
54
30
54
51
54
54
31
56
54
54
56
32
58
54
57
58
33
60
54
58
60
34
62
57
60
62
35
64
60
63
64
36
66
63
63
66
37
68
63
66
68
38
70
66
69
70
39
72
66
69
72
40
74
72
72
74
41
76
72
74
76
42
78
72
76
78
43
81
75
78
81
44
82
78
81
82
45
84
81
81
84
46
86
81
84
86
47
87
81
87
87
48
90
84
87
90
49
92
87
90
92
50
94
87
92
94
51
96
90
94
96
52
99
93
96
99
53
100
96
99
100
54
102
99
99
102
55
105
99
102
105
56
108
99
105
108
57
108
102
105
108
58
109
105
108
109
59
111
108
110
111
60
114
108
112
114
61
116
111
114
116
62
117
114
117
117
63
120
114
118
120
64
121
117
120
121
65
123
117
123
123
66
126
120
123
126
67
127
123
126
127
68
129
126
128
129
69
132
126
130
132
70
135
126
132
135
71
135
129
135
135
72
138
132
135
138
73
141
132
138
141
74
142
135
141
142
75
144
138
141
144
76
146
141
144
146
77
147
144
146
147
78
150
144
148
150
79
153
144
150
153
80
153
147
152
153
81
156
150
154
156
82
159
150
156
159
83
162
153
158
162
84
162
156
159
162
85
163
159
162
163
86
165
162
164
165
87
168
162
165
168
88
169
162
168
169
89
171
165
170
171
90
174
168
171
174
91
175
171
174
175
92
177
171
176
177
93
180
174
177
180
94
181
177
180
181
95
183
180
182
183
96
186
180
184
186
97
189
180
186
189
98
190
183
188
190
99
192
186
189
192
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 3^7.
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 = 3^7