Best found linear codes over GR(16,4) of size 4^8:


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+2+1+1+1+1 2+2+2+1+1 2+2+2+2
43 3
56 4 6
68 4 8 8
712 8 8 12
816 8 12 16
918 12 16 18
1021 16 19 21
1124 20 22 24
1225 24 24 25
1328 24 28 28
1432 28 28 32
1535 28 32 35
1638 32 36 38
1740 36 39 40
1844 36 40 44
1948 40 44 48
2050 44 48 50
2152 44 51 52
2254 48 52 54
2357 52 56 57
2460 56 60 60
2564 56 60 64
2667 60 64 67
2770 64 68 70
2873 71 73
2976 72 76
3080 76 80
3182 80 82
3286 82 86
3388 84 88
3492 88 92
3592 91 92
3696 92 96
3799 96 99
38102 100 102
39105 102 105
40108 104 108
41111 108 111
42114 112 114
43117 114 117
44120 116 120
45122 120 122
46124 123 124
47128 125 128
48131 128 131
49136 132 136
50137 134 137
51140 136 140
52144 140 144
53145 144 145
54148 146 148
55152 148 152
56156 152 156
57159 155 159
58160 157 160
59163 160 163
60168 164 168
61169 167 169
62172 169 172
63177 172 177
64180 176 180
65181 179 181
66184 180 184
67188 184 188
68192 187 192
69192 190 192
70196 192 196
71199 196 199
72202 199 202
73204 202 204
74208 204 208
75210 208 210
76213 211 213
77216 213 216
78220 216 220
79223 220 223
80225 222 225
81228 225 228
82232 228 232
83234 231 234
84238 234 238
85240 236 240
86244 240 244
87246 243 246
88249 245 249
89252 248 252
90256 252 256
91258 255 258
92261 258 261
93264 260 264
94267 264 267
95269 267 269
96273 269 273
97275 272 275
98280 276 280
99281 278 281

The color scheme indicates how the homogeneous minimum distance of the entry compares to that of other linear codes over GR(16,4) of the same length and size 4^8.
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 GR(16,4) in dependence of the size
Comparison of the Gray images for q = 4 and size = 4^8
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