Best found linear codes over Z9 of size 3^10:


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+1 2+2+1+1+1+1+1+1 2+2+2+1+1+1+1 2+2+2+2+1+1 2+2+2+2+2
52 2
64 3 4
76 3 6 6
88 3 6 6 8
910 3 6 6 9 10
1012 6 6 9 11 12
1115 6 9 9 12 15
1215 9 9 12 15 15
1318 9 12 15 15 18
1419 12 12 16 18 19
1520 12 15 18 18 20
1622 15 18 18 21 22
1724 18 18 21 24 24
1827 18 21 24 24 27
1928 21 24 24 27 28
2030 21 24 27 29 30
2132 24 27 27 30 32
2234 24 27 30 33 34
2336 27 30 33 34 36
2437 30 30 33 36 37
2539 30 33 36 37 39
2642 33 36 39 39 42
2743 33 36 39 42 43
2845 36 36 42 45 45
2947 36 39 42 45 47
3048 39 42 45 48 48
3151 42 45 48 49 51
3253 42 45 48 51 53
3354 45 45 51 54 54
3457 45 48 54 55 57
3558 48 51 54 57 58
3660 51 54 57 59 60
3762 51 54 57 60 62
3864 54 57 60 63 64
3966 54 60 63 64 66
4068 57 60 63 66 68
4169 60 63 66 69 69
4272 60 63 69 70 72
4373 63 66 69 72 73
4475 63 69 72 74 75
4578 66 69 73 75 78
4679 69 72 75 78 79
4781 69 72 78 80 81
4883 72 75 78 81 83
4984 75 78 81 84 84
5087 75 78 84 85 87
5189 78 81 84 87 89
5290 78 84 87 90 90
5393 81 84 89 91 93
5494 84 87 90 93 94
5596 84 87 93 95 96
5699 87 90 96 96 99
57100 87 93 96 99 100
58102 90 93 99 101 102
59104 93 96 100 102 104
60106 93 99 102 105 106
61108 96 99 105 106 108
62109 96 102 105 108 109
63111 99 102 108 110 111
64114 102 105 111 112 114
65115 102 108 111 114 115
66117 105 108 114 116 117
67120 105 111 116 118 120
68121 105 114 117 120 121
69123 105 114 120 122 123
70125 105 117 121 123 125
71126 105 117 123 126 126
72129 105 120 126 128 129
73131 105 123 127 129 131
74133 105 126 129 132 133
75135 126 132 133 135
76137 105 129 132 135 137
77139 105 129 135 138 139
78141 105 132 138 139 141
79143 105 135 138 141 143
80144 105 135 141 143 144
81147 105 138 142 145 147
82148 105 141 144 147 148
83151 105 141 147 149 151
84153 105 144 149 150 153
85154 105 147 150 153 154
86156 105 147 153 154 156
87158 105 150 153 156 158
88160 105 150 156 159 160
89162 105 153 159 160 162
90163 105 156 159 162 163
91165 105 156 162 164 165
92167 105 159 164 166 167
93168 105 161 165 168 168
94171 105 162 168 170 171
95173 105 165 170 172 173
96174 105 168 171 174 174
97177 105 168 174 176 177
98179 105 171 176 178 179
99180 105 171 177 180 180

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 3^10.
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 = 3^10
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