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


16 0 0
0 16 0
0 0 16

1 14 0
4 9 0
0 0 16

6 0 0
0 10 0
0 0 16

This group makes 9 orbits of sizes:

1 6 48 12 48 48 48 48 48


The solution of the corresponding linear system of equations was found after less than 100 seconds:

0 0 0 0 1 0 0 0 0 0 0 4 4 0 4 3 4 2


This produces the following generator matrix

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 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