Code details

best found code with parameters
q=16 k=3 n=195
minimum distance = 182

this is new optimal code


the previous bounds were -1/182
this is a projective code


We used the prescribed group of automorphisms with the following generators


15 0 0
0 15 0
0 0 15

4 2 0
11 13 14
0 4 1

This group makes 21 orbits of sizes:

13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13


The solution of the corresponding linear system of equations was found after less than 500 seconds:

1 0 1 1 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 1 1 13 13 13 13 13 13 13 5 13 11 13 13 11 13 13 11 13 13 11 11 13


This produces the following generator matrix

0 0 15 15 15 15 15 15 15 15 15 15 15 0 0 15 15 15 15 15 15 15 15 15 15 15 0 15 15 15 15 15 15 15 15 15 15 15 15 0 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 0 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 0 0 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 0 0 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 0 0 15 15 15 15 15 15 15 15 15 15 15
0 15 0 14 4 5 7 9 2 10 3 6 15 15 15 1 1 8 8 14 2 2 13 10 3 15 15 8 8 4 4 5 5 2 3 11 12 12 15 15 0 0 8 7 7 9 2 3 3 6 15 15 0 0 7 7 13 13 3 3 11 11 12 15 15 1 1 14 9 10 3 3 11 6 12 12 15 15 0 1 14 14 4 4 5 5 7 10 10 3 15 4 4 5 5 9 9 13 3 3 6 6 15 15 15 0 0 1 1 4 5 7 7 2 13 12 12 0 8 8 14 14 7 9 13 10 10 6 12 12 15 15 14 4 5 9 9 2 2 10 6 6 12 0 1 1 8 8 4 5 7 9 9 11 6 6 15 15 1 9 9 2 2 13 13 11 11 6 6 8 14 14 4 4 5 5 13 13 10 10 11 11 15 15 0 0 14 14 7 7 2 2 10 10 11
15 2 11 9 9 14 13 4 15 1 8 8 13 3 15 7 13 9 3 0 4 7 4 0 13 3 1 8 14 14 4 4 9 11 15 8 1 13 11 12 9 12 6 5 2 9 10 4 10 13 6 12 3 15 14 11 1 7 1 7 9 12 0 9 15 3 12 11 1 9 14 12 0 11 9 15 14 7 10 0 7 3 8 6 2 10 9 8 7 6 5 7 3 5 6 8 10 9 0 3 9 2 0 8 11 14 13 14 11 10 3 10 6 6 0 8 11 7 7 10 14 4 12 11 14 11 6 6 4 10 4 5 13 11 7 5 13 8 12 2 14 12 7 6 1 4 12 15 0 0 8 3 12 3 4 10 9 6 10 6 15 1 13 13 10 6 15 1 7 0 8 6 1 15 8 12 3 15 4 12 1 10 14 10 0 1 5 12 0 3 2 3 13 15 13



Which is a code with the following weight distribution
1y195+2925x182y13+975x184y11+195x190y5