Best found linear codes over Z9 of size 3^9:
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
2+2+1+1+1+1+1
2+2+2+1+1+1
2+2+2+2+1
5
3
3
6
4
3
4
7
6
3
6
6
8
8
3
6
6
8
9
11
6
6
9
11
10
12
6
9
12
12
11
15
9
9
12
15
12
15
9
12
15
15
13
18
12
15
18
18
14
20
15
18
18
20
15
21
15
18
18
21
16
24
18
18
21
24
17
25
18
21
24
25
18
29
21
24
24
29
19
30
24
24
27
30
20
31
24
27
30
31
21
33
27
27
31
33
22
36
27
30
33
36
23
36
30
33
36
36
24
39
33
36
36
39
25
41
33
36
39
41
26
42
36
39
42
42
27
45
36
39
42
45
28
47
39
42
45
47
29
48
42
44
47
48
30
51
42
45
48
51
31
54
45
48
51
54
32
54
45
48
52
54
33
56
48
51
54
56
34
58
51
54
57
58
35
60
51
54
58
60
36
62
54
57
60
62
37
63
54
57
63
63
38
66
57
60
63
66
39
68
60
63
66
68
40
69
60
63
68
69
41
72
63
66
69
72
42
73
63
69
72
73
43
75
66
69
73
75
44
78
69
72
75
78
45
79
69
75
78
79
46
81
72
75
78
81
47
84
75
78
81
84
48
85
75
78
84
85
49
87
78
81
85
87
50
90
78
84
87
90
51
90
81
84
89
90
52
93
84
87
90
93
53
95
84
90
93
95
54
96
87
90
95
96
55
99
90
93
96
99
56
101
90
96
99
101
57
102
93
96
100
102
58
105
93
99
102
105
59
107
96
99
105
107
60
108
99
102
106
108
61
110
99
105
108
110
62
112
102
105
111
112
63
114
105
108
112
114
64
117
105
111
114
117
65
118
108
111
116
118
66
120
108
114
117
120
67
122
111
117
120
122
68
124
114
117
122
124
69
126
114
120
123
126
70
128
117
123
126
128
71
129
120
123
128
129
72
132
120
126
129
132
73
135
123
128
132
135
74
135
123
129
134
135
75
138
126
132
135
138
76
141
129
132
138
141
77
141
129
135
139
141
78
144
132
138
141
144
79
145
135
138
144
145
80
147
135
141
145
147
81
150
138
144
147
150
82
152
141
144
150
152
83
153
141
147
150
153
84
155
144
150
153
155
85
157
144
150
155
157
86
159
147
153
157
159
87
162
150
156
159
162
88
163
150
156
161
163
89
165
153
159
162
165
90
167
156
162
165
167
91
168
156
162
167
168
92
171
159
165
168
171
93
173
162
168
171
173
94
174
162
168
173
174
95
177
165
171
174
177
96
180
168
173
177
180
97
180
168
174
178
180
98
183
171
177
180
183
99
185
171
177
183
185
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 3^9.
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 = 3^9