Best found linear codes over Z25 in dependence of the size (5^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
24
38 5 4
412 10 8 5 4
516 15 12 10 8
620 16 16 12 12
724 20 20 15 15
829 25 24 20 20
932 29 28 25 24
1037 33 32 29 28
1140 37 36 32 32
1245 40 40 37 36
1349 45 44 40 40
1453 50 48 45 41
1558 54 53 48 45
1661 58 57 53 50
1765 60 60 55 54
1870 65 65 60 58
1974 70 69 65 61
2079 74 74 69 65
2182 78 76 73 70
2286 82 79 75 74
2390 86 83 80 77
2495 90 87 83 81
25100 95 91 87 85
26103 100 95 91 89
27107 102 100 95 91
28111 106 104 100 95
29115 110 108 103 100
30120 115 112 107 103
31120 119 116 111 107
32125 120 120 115 111
33129 125 124 120 115
34133 130 128 123 119
35137 133 131 127 123
36141 137 136 130 127
37145 141 140 135 131
38150 145 143 140 135
39154 150 147 141 139
40158 154 151 147 142
41162 158 154 150 145
42166 162 158 154 150
43170 165 162 158 154
44175 170 166 162 157
45179 175 170 166 161
46183 179 175 170 165
47186 182 179 174 170
48190 186 183 179 174
49195 190 187 182 177
50200 195 191 186 181
51203 199 195 190 185
52207 202 200 194 189
53211 206 203 198 193
54215 210 207 202 197
55220 215 211 205 201
56223 219 215 210 205
57227 222 220 214 208
58231 226 223 218 212
59235 230 227 221 216
60240 235 231 225 220
61241 239 233 229 224
62245 241 237 233 228
63250 245 241 236 232
64254 250 245 240 236
65258 255 250 245 240
66262 258 254 249 244
67266 262 258 253 248
68270 266 262 257 252
69275 270 266 260 255
70279 275 270 265 259
71283 279 275 269 263
72287 282 279 273 267
73290 286 283 277 270
74295 290 286 280 275
75300 295 290 285 279
76303 300 295 289 282
77307 302 299 293 287
78311 305 303 295 290
79315 310 307 300 295
80320 315 310 304 299
81323 319 314 308 302
82327 322 318 312 306
83331 326 320 316 310
84335 330 325 320 314
85340 335 330 325 318
86343 339 333 329 322
87347 342 337 332 326
88351 346 341 335 330
89355 350 345 340 334
90360 355 350 345 337
91362 359 354 348 341
92366 362 358 352 345
93370 366 362 356 349
94375 370 366 360 353
95379 375 370 365 357
96383 379 375 367 361
97387 382 379 371 365
98391 386 382 375 369
99395 390 386 379 371

The color scheme indicates how the homogeneous minimum distance of the entries compares to that of other linear codes over Z25 of the same length and size 5^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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