Code details

best found code with parameters
q=17 k=3 n=256
minimum distance = 240

this is new optimal code


the previous bounds were -1/240
this is a projective code


We used the prescribed group of automorphisms with the following generators


0 16 0
16 0 0
0 0 16

10 7 0
15 2 0
0 0 16

This group makes 11 orbits of sizes:

1 4 64 4 64 2 32 64 4 64 4


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

0 0 1 0 1 0 0 1 0 1 0 0 16 15 16 15 16 15 16 15 0 16


This produces the following generator matrix

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13
16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8 16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8 16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8 16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8 16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8 16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8 16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8 16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8 16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8 16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8 16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8 16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8 16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8 16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8 16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8 16 14 1 12 5 15 11 10 2 3 7 13 4 9 6 8



Which is a code with the following weight distribution
1y256+768x240y16+4096x241y15+48x256