Best found linear codes over Z9 of size 3^8:
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
2+2+1+1+1+1
2+2+2+1+1
2+2+2+2
4
2
2
5
4
3
4
6
6
3
6
6
7
8
3
6
6
8
8
10
6
6
9
10
9
12
6
9
12
12
10
15
9
12
12
15
11
15
9
15
15
15
12
18
12
18
18
18
13
20
15
18
18
20
14
22
18
18
20
22
15
24
18
21
22
24
16
26
18
21
24
26
17
27
21
24
26
27
18
29
24
27
27
29
19
31
24
27
30
31
20
33
27
30
33
33
21
35
30
33
33
35
22
37
30
33
36
37
23
38
33
36
38
38
24
42
36
36
39
42
25
42
36
39
42
42
26
45
39
42
45
45
27
47
39
42
45
47
28
48
42
45
48
48
29
51
45
48
49
51
30
54
45
48
51
54
31
54
48
51
54
54
32
57
48
53
55
57
33
59
51
54
57
59
34
60
54
57
60
60
35
63
54
60
60
63
36
64
57
60
63
64
37
66
60
63
65
66
38
68
60
63
67
68
39
70
63
66
69
70
40
72
63
69
71
72
41
74
66
69
72
74
42
76
69
72
75
76
43
78
69
75
77
78
44
80
72
76
78
80
45
81
75
78
81
81
46
84
78
81
83
84
47
86
78
81
84
86
48
88
81
84
87
88
49
90
81
87
88
90
50
92
84
87
90
92
51
93
87
90
93
93
52
96
87
92
94
96
53
97
90
93
96
97
54
99
90
96
99
99
55
102
93
98
100
102
56
103
96
99
102
103
57
105
96
102
105
105
58
108
99
105
106
108
59
109
102
105
108
109
60
111
102
108
110
111
61
113
105
110
112
113
62
115
108
111
114
115
63
117
108
114
116
117
64
120
111
115
117
120
65
122
111
117
120
122
66
124
114
120
122
124
67
126
117
121
123
126
68
126
117
123
126
126
69
129
120
126
128
129
70
132
123
126
129
132
71
132
123
129
132
132
72
135
126
132
134
135
73
137
129
133
135
137
74
139
129
135
138
139
75
141
132
137
140
141
76
144
135
139
141
144
77
144
135
141
144
144
78
147
138
144
145
147
79
149
141
144
147
149
80
151
141
147
150
151
81
153
144
150
151
153
82
156
144
150
153
156
83
156
147
153
156
156
84
159
150
155
157
159
85
162
150
156
159
162
86
162
153
159
162
162
87
165
156
161
163
165
88
166
156
162
165
166
89
168
159
165
167
168
90
171
162
167
169
171
91
172
162
168
171
172
92
174
165
171
173
174
93
177
168
172
175
177
94
177
168
174
177
177
95
180
171
177
179
180
96
183
174
177
180
183
97
186
174
180
183
186
98
187
177
183
185
187
99
189
180
184
186
189
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 3^8.
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 = 3^8