Best found linear codes over Z25 of size 5^6:
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
3
4
4
4
8
5
8
5
12
5
10
12
6
16
10
15
16
7
20
10
15
20
8
24
15
20
24
9
28
20
25
28
10
32
25
30
32
11
36
30
35
36
12
40
30
40
40
13
44
35
40
44
14
48
40
45
48
15
53
45
50
53
16
57
45
54
57
17
60
50
55
60
18
65
55
60
65
19
69
60
65
69
20
74
60
70
74
21
76
65
70
76
22
79
70
75
79
23
83
75
80
83
24
87
80
85
87
25
91
80
89
91
26
95
85
91
95
27
100
90
95
100
28
104
95
100
104
29
108
95
105
108
30
112
100
108
112
31
116
105
110
116
32
120
110
115
120
33
124
110
120
124
34
128
115
125
128
35
131
120
129
131
36
136
125
130
136
37
140
130
135
140
38
143
130
140
143
39
147
135
145
147
40
151
140
146
151
41
154
145
150
154
42
158
145
155
158
43
162
150
160
162
44
166
155
164
166
45
170
160
166
170
46
175
165
170
175
47
179
165
175
179
48
183
170
180
183
49
187
175
185
187
50
191
180
186
191
51
195
180
190
195
52
200
185
195
200
53
203
190
200
203
54
207
195
204
207
55
211
200
207
211
56
215
200
210
215
57
220
205
215
220
58
223
210
220
223
59
227
215
225
227
60
231
220
227
231
61
233
220
230
233
62
237
225
235
237
63
241
230
240
241
64
245
235
244
245
65
250
235
246
250
66
254
240
250
254
67
258
245
255
258
68
262
250
260
262
69
266
255
264
266
70
270
255
266
270
71
275
260
270
275
72
279
265
275
279
73
283
270
280
283
74
286
275
284
286
75
290
275
287
290
76
295
280
290
295
77
299
285
295
299
78
303
290
300
303
79
307
295
304
307
80
310
295
307
310
81
314
300
310
314
82
318
305
315
318
83
320
310
320
320
84
325
310
324
325
85
330
315
327
330
86
333
320
330
333
87
337
325
335
337
88
341
330
340
341
89
345
330
344
345
90
350
335
346
350
91
354
340
350
354
92
358
345
355
358
93
362
350
360
362
94
366
350
363
366
95
370
355
366
370
96
375
360
370
375
97
379
365
375
379
98
382
370
380
382
99
386
370
383
386
The color scheme indicates how the homogeneous minimum distance of the entry compares to that of other linear codes over Z25 of the same length and size 5^6.
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 Z25 in dependence of the size
Comparison of the Gray images for q = 5 and size = 5^6