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
42 2
54 3 4
66 3 6 6
78 3 6 6 8
810 6 6 9 10
912 6 9 12 12
1015 9 12 12 15
1115 9 15 15 15
1218 12 18 18 18
1320 15 18 18 20
1422 18 18 20 22
1524 18 21 22 24
1626 18 21 24 26
1727 21 24 26 27
1829 24 27 27 29
1931 24 27 30 31
2033 27 30 33 33
2135 30 33 33 35
2237 30 33 36 37
2338 33 36 38 38
2442 36 36 39 42
2542 36 39 42 42
2645 39 42 45 45
2747 39 42 45 47
2848 42 45 48 48
2951 45 48 49 51
3054 45 48 51 54
3154 48 51 54 54
3257 48 53 55 57
3359 51 54 57 59
3460 54 57 60 60
3563 54 60 60 63
3664 57 60 63 64
3766 60 63 65 66
3868 60 63 67 68
3970 63 66 69 70
4072 63 69 71 72
4174 66 69 72 74
4276 69 72 75 76
4378 69 75 77 78
4480 72 76 78 80
4581 75 78 81 81
4684 78 81 83 84
4786 78 81 84 86
4888 81 84 87 88
4990 81 87 88 90
5092 84 87 90 92
5193 87 90 93 93
5296 87 92 94 96
5397 90 93 96 97
5499 90 96 99 99
55102 93 98 100 102
56103 96 99 102 103
57105 96 102 105 105
58108 99 105 106 108
59109 102 105 108 109
60111 102 108 110 111
61113 105 110 112 113
62115 108 111 114 115
63117 108 114 116 117
64120 111 115 117 120
65122 111 117 120 122
66124 114 120 122 124
67126 117 121 123 126
68126 117 123 126 126
69129 120 126 128 129
70132 123 126 129 132
71132 123 129 132 132
72135 126 132 134 135
73137 129 133 135 137
74139 129 135 138 139
75141 132 137 140 141
76144 135 139 141 144
77144 135 141 144 144
78147 138 144 145 147
79149 141 144 147 149
80151 141 147 150 151
81153 144 150 151 153
82156 144 150 153 156
83156 147 153 156 156
84159 150 155 157 159
85162 150 156 159 162
86162 153 159 162 162
87165 156 161 163 165
88166 156 162 165 166
89168 159 165 167 168
90171 162 167 169 171
91172 162 168 171 172
92174 165 171 173 174
93177 168 172 175 177
94177 168 174 177 177
95180 171 177 179 180
96183 174 177 180 183
97186 174 180 183 186
98187 177 183 185 187
99189 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
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