Best found linear codes over Z9 of size 3^6:


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 2+2+1+1 2+2+2
32 2
44 3 4
56 3 6 6
68 6 6 8
710 6 9 10
812 9 12 12
915 12 12 15
1015 15 15 15
1118 18 18 18
1220 18 18 20
1322 18 21 22
1424 21 24 24
1527 24 24 27
1628 27 27 28
1730 27 30 30
1832 30 31 32
1934 33 33 34
2036 36 36 36
2138 36 36 38
2240 36 39 40
2342 39 42 42
2445 42 43 45
2547 45 45 47
2648 45 48 48
2751 48 49 51
2854 51 51 54
2954 54 54 54
3056 54 55 56
3158 54 57 58
3260 57 60 60
3363 60 62 63
3464 63 64 64
3566 63 66 66
3669 66 69 68
3770 69 69 70
3872 72 72 72
3975 72 73 75
4076 72 75 76
4178 75 78 78
4281 78 79 81
4383 81 81 83
4484 81 84 84
4587 84 85 87
4689 87 87 89
4790 90 90 90
4893 90 91 93
4994 90 93 94
5096 93 96 96
5199 96 97 99
52101 99 99 101
53102 100 102 102
54105 103 103 105
55108 105 105 108
56108 108 108 108
57110 108 109 110
58112 108 111 112
59114 111 114 114
60117 114 115 117
61119 117 117 119
62120 117 120 120
63123 120 121 123
64125 123 123 125
65126 126 126 126
66129 126 127 129
67130 126 129 130
68132 129 132 132
69135 132 135 135
70137 135 135 137
71138 135 138 138
72141 138 139 141
73144 141 144 143
74144 141 144 144
75147 144 147 146
76149 147 148 149
77150 150 150 150
78153 153 151 153
79156 156 154 155
80159 159 156 156
81162 162 158 159
82162 162 161 161
83163 162 162 163
84165 162 163 165
85167 162 166 167
86168 165 168 168
87171 168 171 171
88173 168 173 173
89175 171 175 174
90177 174 177 177
91180 177 179 180
92181 180 180 181
93183 180 182 183
94186 180 184 186
95187 183 186 187
96189 186 189 189
97192 189 191 192
98193 189 193 193
99195 192 195 195

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 3^6.
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 = 3^6
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