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
43 3
54 3 4
66 3 6 6
79 6 6 9
811 6 9 11
912 9 12 12
1015 12 13 15
1118 15 15 18
1218 18 18 18
1321 18 18 21
1422 18 21 22
1524 21 24 24
1627 21 24 27
1729 24 27 29
1830 27 30 30
1932 27 30 32
2034 30 33 34
2136 33 36 36
2239 36 36 39
2340 36 39 40
2442 36 40 42
2545 39 42 45
2646 42 45 46
2748 42 46 48
2851 45 48 51
2954 48 51 54
3054 51 54 54
3156 54 54 56
3258 54 57 58
3360 54 58 60
3462 57 60 62
3564 60 63 64
3666 63 63 66
3768 63 66 68
3870 66 69 70
3972 66 69 72
4074 72 72 74
4176 72 74 76
4278 72 76 78
4381 75 78 81
4482 78 81 82
4584 81 81 84
4686 81 84 86
4787 81 87 87
4890 84 87 90
4992 87 90 92
5094 87 92 94
5196 90 94 96
5299 93 96 99
53100 96 99 100
54102 99 99 102
55105 99 102 105
56108 99 105 108
57108 102 105 108
58109 105 108 109
59111 108 110 111
60114 108 112 114
61116 111 114 116
62117 114 117 117
63120 114 118 120
64121 117 120 121
65123 117 123 123
66126 120 123 126
67127 123 126 127
68129 126 128 129
69132 126 130 132
70135 126 132 135
71135 129 135 135
72138 132 135 138
73141 132 138 141
74142 135 141 142
75144 138 141 144
76146 141 144 146
77147 144 146 147
78150 144 148 150
79153 144 150 153
80153 147 152 153
81156 150 154 156
82159 150 156 159
83162 153 158 162
84162 156 159 162
85163 159 162 163
86165 162 164 165
87168 162 165 168
88169 162 168 169
89171 165 170 171
90174 168 171 174
91175 171 174 175
92177 171 176 177
93180 174 177 180
94181 177 180 181
95183 180 182 183
96186 180 184 186
97189 180 186 189
98190 183 188 190
99192 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
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