Code details
best found code with parameters
q=17 k=3 n=48
minimum distance = 44
this is new optimal code
the previous bounds were -1/44
this is a projective code
We used the prescribed group of automorphisms with the following generators
This group makes 9 orbits of sizes:
The solution of the corresponding linear system of equations was found after less than 100 seconds:
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0
|
0
|
0
|
0
|
1
|
0
|
0
|
0
|
0
|
0
|
0
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4
|
4
|
0
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4
|
3
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4
|
2
|
This produces the following generator matrix
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16
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16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
16
|
|
16
|
16
|
16
|
16
|
14
|
14
|
14
|
14
|
1
|
1
|
1
|
1
|
12
|
12
|
12
|
12
|
5
|
5
|
5
|
5
|
10
|
10
|
10
|
10
|
2
|
2
|
2
|
2
|
13
|
13
|
13
|
13
|
4
|
4
|
4
|
4
|
9
|
9
|
9
|
9
|
6
|
6
|
6
|
6
|
8
|
8
|
8
|
8
|
|
16
|
12
|
4
|
8
|
15
|
11
|
3
|
7
|
15
|
11
|
3
|
7
|
14
|
10
|
2
|
6
|
1
|
5
|
13
|
9
|
1
|
5
|
13
|
9
|
1
|
5
|
13
|
9
|
1
|
5
|
13
|
9
|
14
|
10
|
2
|
6
|
15
|
11
|
3
|
7
|
15
|
11
|
3
|
7
|
16
|
12
|
4
|
8
|
Which is a code with the following weight distribution
1y48+2496x44y4+768x45y3+768x46y2+880x48