Best found linear codes over GR(16,4) of size 4^7:


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
44 4
56 4 6
68 4 8 8
712 8 8 12
816 8 12 16
918 12 16 18
1022 16 20 22
1124 20 24 24
1228 24 24 28
1331 24 28 31
1433 28 32 33
1536 28 32 36
1640 32 36 40
1743 36 40 43
1844 36 40 44
1948 40 44 48
2052 44 48 52
2156 44 52 56
2256 48 52 56
2360 52 56 60
2464 56 60 64
2566 56 60 66
2669 60 64 69
2772 64 68 72
2876 64 72 76
2978 68 72 78
3080 72 76 80
3184 76 80 84
3288 76 84 88
3389 80 84 89
3492 84 88 92
3596 84 92 96
3699 88 92 99
37101 92 96 101
38104 96 100 104
39108 96 104 108
40112 100 104 112
41113 104 108 113
42116 104 112 116
43120 108 116 120
44123 112 116 123
45124 112 120 124
46128 116 124 128
47131 120 128 131
48134 124 128 134
49137 124 132 137
50140 128 136 140
51144 132 139 144
52146 136 140 146
53149 136 144 149
54152 140 148 152
55156 144 151 156
56158 144 152 158
57160 148 156 160
58164 152 160 164
59167 156 162 167
60169 156 164 169
61173 160 168 173
62176 164 172 176
63180 168 175 180
64182 168 176 182
65187 172 180 187
66188 176 184 188
67192 176 184 192
68193 180 188 193
69196 184 192 196
70200 188 196 200
71202 188 196 202
72206 192 200 206
73208 196 204 208
74212 200 207 212
75214 200 208 214
76217 204 212 217
77220 208 216 220
78224 212 220 224
79226 212 220 226
80229 216 224 229
81232 220 228 232
82236 220 231 236
83240 224 232 240
84240 228 236 240
85244 232 240 244
86248 232 243 248
87250 236 244 250
88253 240 248 253
89256 244 252 256
90259 244 254 259
91262 248 256 262
92264 252 260 264
93268 256 264 268
94271 256 265 271
95273 260 268 273
96276 264 272 276
97280 264 276 280
98284 268 278 284
99287 272 280 287

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 4^7.
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 GR(16,4) in dependence of the size
Comparison of the Gray images for q = 4 and size = 4^7
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