Best found linear codes over Z25 of size 5^7:
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+2+1+1+1
2+2+2+1
4
5
5
5
10
5
10
6
12
10
12
7
15
10
15
8
20
15
20
9
25
20
25
10
29
25
29
11
32
30
32
12
37
30
37
13
40
35
40
14
45
40
45
15
48
45
48
16
53
45
53
17
55
50
55
18
60
55
60
19
65
60
65
20
69
60
69
21
73
65
73
22
75
70
75
23
80
75
80
24
83
75
83
25
87
80
87
26
91
85
91
27
95
90
95
28
100
94
100
29
103
95
103
30
107
100
107
31
111
105
111
32
115
110
115
33
120
110
120
34
123
115
123
35
127
120
127
36
130
125
130
37
135
125
135
38
140
130
140
39
141
135
141
40
147
140
147
41
150
145
150
42
154
145
154
43
158
150
158
44
162
155
162
45
166
160
166
46
170
160
170
47
174
165
174
48
179
170
179
49
182
175
182
50
186
180
186
51
190
180
190
52
194
185
194
53
198
190
198
54
202
195
202
55
205
200
205
56
210
200
210
57
214
205
214
58
218
210
218
59
221
215
221
60
225
215
225
61
229
220
229
62
233
225
233
63
236
230
236
64
240
235
240
65
245
235
245
66
249
240
249
67
253
245
253
68
257
250
257
69
260
255
260
70
265
255
265
71
269
260
269
72
273
265
273
73
277
270
277
74
280
270
280
75
285
275
285
76
289
280
289
77
293
285
293
78
295
290
295
79
300
290
300
80
304
295
304
81
308
300
308
82
312
305
312
83
316
310
316
84
320
310
320
85
325
315
325
86
329
320
329
87
332
325
332
88
335
325
335
89
340
330
340
90
345
335
345
91
348
348
92
352
352
93
356
356
94
360
360
95
365
365
96
367
367
97
371
371
98
375
375
99
379
379
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 5^7.
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 Z25 in dependence of the size
Comparison of the Gray images for q = 5 and size = 5^7