Code details
best found code with parameters
q=17 k=3 n=94
minimum distance = 87
this is new optimal code
the previous bounds were -1/87
this is a projective code
We used the prescribed group of automorphisms with the following generators
This group makes 31 orbits of sizes:
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3
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6
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4
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12
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12
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12
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12
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12
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12
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12
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12
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12
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12
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12
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12
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6
|
12
|
12
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12
|
12
|
6
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12
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12
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12
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6
|
6
|
12
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6
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12
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6
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6
|
The solution of the corresponding linear system of equations was found after less than 100 seconds:
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0
|
0
|
1
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0
|
1
|
0
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0
|
1
|
0
|
0
|
0
|
1
|
0
|
0
|
0
|
0
|
1
|
0
|
0
|
0
|
0
|
1
|
1
|
0
|
1
|
0
|
0
|
1
|
0
|
0
|
1
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6
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6
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6
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7
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1
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7
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6
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7
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5
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2
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7
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7
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6
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7
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6
|
7
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6
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7
|
7
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7
|
7
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6
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4
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4
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7
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0
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6
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6
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2
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4
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4
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This produces the following generator matrix
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
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16
|
16
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16
|
16
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16
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16
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16
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16
|
16
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0
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0
|
16
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16
|
16
|
16
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0
|
0
|
16
|
16
|
16
|
16
|
0
|
0
|
16
|
16
|
16
|
16
|
|
16
|
16
|
8
|
8
|
16
|
16
|
1
|
1
|
15
|
15
|
7
|
7
|
9
|
9
|
8
|
8
|
16
|
16
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1
|
1
|
15
|
15
|
7
|
7
|
9
|
9
|
8
|
8
|
14
|
14
|
14
|
14
|
12
|
12
|
4
|
4
|
6
|
6
|
6
|
6
|
1
|
1
|
5
|
5
|
10
|
10
|
2
|
2
|
13
|
13
|
9
|
9
|
12
|
12
|
10
|
10
|
10
|
10
|
2
|
2
|
2
|
2
|
4
|
4
|
12
|
12
|
5
|
5
|
15
|
15
|
7
|
7
|
13
|
13
|
4
|
4
|
16
|
16
|
0
|
0
|
12
|
4
|
16
|
16
|
0
|
0
|
15
|
7
|
16
|
16
|
0
|
0
|
10
|
2
|
|
16
|
8
|
16
|
8
|
1
|
9
|
16
|
8
|
15
|
7
|
15
|
7
|
16
|
8
|
1
|
9
|
15
|
7
|
1
|
9
|
16
|
8
|
16
|
8
|
1
|
9
|
15
|
7
|
12
|
10
|
2
|
4
|
10
|
2
|
10
|
2
|
12
|
10
|
2
|
4
|
14
|
6
|
15
|
7
|
11
|
3
|
11
|
3
|
15
|
7
|
14
|
6
|
14
|
6
|
14
|
12
|
4
|
6
|
14
|
12
|
4
|
6
|
14
|
6
|
1
|
9
|
12
|
4
|
11
|
3
|
11
|
3
|
12
|
4
|
1
|
9
|
12
|
4
|
12
|
4
|
0
|
0
|
15
|
7
|
1
|
9
|
0
|
0
|
10
|
2
|
14
|
6
|
0
|
0
|
Which is a code with the following weight distribution
1y94+2016x87y7+1456x88y6+192x89y5+576x90y4+384x92y2+192x93y1+96x94