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
53 3
64 3 4
76 3 6 6
88 3 6 6 8
911 6 6 9 11
1012 6 9 12 12
1115 9 9 12 15
1215 9 12 15 15
1318 12 15 18 18
1420 15 18 18 20
1521 15 18 18 21
1624 18 18 21 24
1725 18 21 24 25
1829 21 24 24 29
1930 24 24 27 30
2031 24 27 30 31
2133 27 27 31 33
2236 27 30 33 36
2336 30 33 36 36
2439 33 36 36 39
2541 33 36 39 41
2642 36 39 42 42
2745 36 39 42 45
2847 39 42 45 47
2948 42 44 47 48
3051 42 45 48 51
3154 45 48 51 54
3254 45 48 52 54
3356 48 51 54 56
3458 51 54 57 58
3560 51 54 58 60
3662 54 57 60 62
3763 54 57 63 63
3866 57 60 63 66
3968 60 63 66 68
4069 60 63 68 69
4172 63 66 69 72
4273 63 69 72 73
4375 66 69 73 75
4478 69 72 75 78
4579 69 75 78 79
4681 72 75 78 81
4784 75 78 81 84
4885 75 78 84 85
4987 78 81 85 87
5090 78 84 87 90
5190 81 84 89 90
5293 84 87 90 93
5395 84 90 93 95
5496 87 90 95 96
5599 90 93 96 99
56101 90 96 99 101
57102 93 96 100 102
58105 93 99 102 105
59107 96 99 105 107
60108 99 102 106 108
61110 99 105 108 110
62112 102 105 111 112
63114 105 108 112 114
64117 105 111 114 117
65118 108 111 116 118
66120 108 114 117 120
67122 111 117 120 122
68124 114 117 122 124
69126 114 120 123 126
70128 117 123 126 128
71129 120 123 128 129
72132 120 126 129 132
73135 123 128 132 135
74135 123 129 134 135
75138 126 132 135 138
76141 129 132 138 141
77141 129 135 139 141
78144 132 138 141 144
79145 135 138 144 145
80147 135 141 145 147
81150 138 144 147 150
82152 141 144 150 152
83153 141 147 150 153
84155 144 150 153 155
85157 144 150 155 157
86159 147 153 157 159
87162 150 156 159 162
88163 150 156 161 163
89165 153 159 162 165
90167 156 162 165 167
91168 156 162 167 168
92171 159 165 168 171
93173 162 168 171 173
94174 162 168 173 174
95177 165 171 174 177
96180 168 173 177 180
97180 168 174 178 180
98183 171 177 180 183
99185 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
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