Best found linear codes over GR(16,4) in dependence of the size (4^k):


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.
Click on the values at the head of the columns to get a more detailed table for the corresponding shapes.

n / k 4 5 6 7 8 9
23
36 4 3
49 8 6 4 3
512 12 9 6 6 4
616 12 12 8 8 6
718 16 16 12 12 8
822 19 18 16 16 12
924 22 22 18 18 15
1028 24 24 22 21 18
1131 28 27 24 24 21
1235 32 31 28 25 24
1337 35 34 31 28 25
1440 37 36 33 32 28
1544 40 40 36 35 32
1648 44 44 40 38 35
1750 48 47 43 40 37
1853 50 49 44 44 40
1956 53 52 48 48 44
2060 56 56 52 50 46
2160 60 60 56 52 48
2264 62 60 56 54 52
2367 64 63 60 57 54
2470 68 66 64 60 57
2573 70 69 66 64 60
2676 73 72 69 67 63
2780 76 75 72 70 66
2883 80 78 76 73 68
2986 84 81 78 76 72
3088 88 83 80 80 74
3192 88 86 84 82 77
3296 92 89 88 86 80
3398 96 92 89 88 83
34101 98 96 92 92 85
35104 100 99 96 92 88
36108 104 102 99 96 92
37110 108 105 101 99 95
38113 110 108 104 102 97
39116 112 112 108 105 100
40120 116 114 112 108 103
41121 120 117 113 111 106
42124 121 120 116 114 108
43128 124 123 120 117 112
44131 128 126 123 120 115
45134 132 128 124 122 117
46137 134 131 128 124 120
47140 136 134 131 128 123
48144 140 137 134 131 126
49146 144 140 137 136 129
50149 146 144 140 137 132
51152 149 147 144 140 135
52156 152 150 146 144 138
53158 156 153 149 145 140
54161 158 156 152 148 144
55164 161 160 156 152 146
56168 164 162 158 156 149
57170 168 165 160 159 152
58173 170 168 164 160 155
59176 173 171 167 163 158
60180 176 176 169 168 161
61182 180 179 173 169 164
62185 184 180 176 172 167
63188 188 184 180 177 169
64192 192 188 182 180 172
65194 192 192 187 181 175
66197 194 192 188 184 178
67200 197 195 192 188 181
68204 200 198 193 192 184
69206 204 200 196 192 187
70209 208 204 200 196 190
71212 209 208 202 199 193
72216 212 210 206 202 196
73218 216 213 208 204 199
74221 220 216 212 208 201
75224 224 220 214 210 204
76228 224 224 217 213 207
77230 228 226 220 216 211
78233 232 229 224 220 213
79236 236 232 226 223 216
80240 240 236 229 225 219
81243 240 237 232 228 222
82246 242 240 236 232 225
83249 245 244 240 234 228
84252 248 248 240 238 231
85256 252 249 244 240 234
86257 256 252 248 244 236
87260 257 256 250 246 240
88264 260 257 253 249 242
89267 264 260 256 252 245
90270 266 264 259 256 248
91272 269 266 262 258 251
92276 272 270 264 261 254
93279 276 272 268 264 257
94281 278 275 271 267 260
95284 281 278 273 269 263
96288 284 281 276 273 266
97291 288 284 280 275 268
98294 290 288 284 280 272
99297 293 291 287 281 275

The color scheme indicates how the homogeneous minimum distance of the entries compares to that of other linear codes over GR(16,4) of the same length and size 4^k.
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.

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