Best found linear codes over GR(16,4) of size 4^6:


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 2+2+1+1 2+2+2
33 3
46 4 6
59 4 8 9
612 8 8 12
716 8 12 16
818 12 16 18
922 16 20 22
1024 20 24 24
1127 24 24 27
1231 24 28 31
1334 28 32 34
1436 32 34 36
1540 32 36 40
1644 36 40 44
1747 40 43 47
1849 40 46 49
1952 44 48 52
2056 48 52 56
2160 52 56 60
2260 56 56 60
2363 56 60 63
2466 60 64 66
2569 64 68 69
2672 64 70 72
2775 68 72 75
2878 72 76 78
2981 76 80 81
3083 80 81 83
3186 80 84 86
3289 84 88 89
3392 88 92 92
3496 88 93 96
3599 92 96 99
36102 96 100 102
37105 96 104 105
38108 100 104 108
39112 104 108 112
40114 108 112 114
41117 112 116 117
42120 112 117 120
43123 116 120 123
44126 120 124 126
45128 120 128 128
46131 124 129 131
47134 128 132 134
48137 128 136 137
49140 132 138 140
50144 136 141 144
51147 140 144 147
52150 144 148 150
53153 144 152 153
54156 148 153 156
55160 152 156 160
56162 152 160 162
57165 156 164 165
58168 160 166 168
59171 164 168 171
60176 164 172 176
61179 168 176 179
62180 172 178 180
63184 176 181 184
64188 176 184 188
65192 180 188 192
66192 184 191 192
67195 188 193 195
68198 192 196 198
69200 192 200 200
70204 196 204 203
71208 200 205 208
72210 200 208 210
73213 204 211 213
74216 208 216 214
75220 212 217 220
76224 212 220 224
77226 216 224 226
78229 220 227 229
79232 224 229 232
80236 224 233 236
81237 228 236 237
82240 232 239 240
83244 232 241 244
84248 236 244 248
85249 240 249 248
86252 244 251 252
87256 244 254 256
88257 248 256 257
89260 252 260 259
90264 256 263 264
91266 256 266 265
92270 260 270 268
93272 264 272 272
94275 268 274 275
95278 268 278 278
96281 272 281 280
97284 276 284 284
98288 280 288 287
99291 280 288 291

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 4^6.
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 = 4^6
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