Code details

best found code with parameters
q=11 k=3 n=100
minimum distance = 90

this is new optimal code


the previous bounds were -1/90
this is a projective code


We used the prescribed group of automorphisms with the following generators


7 0 0
0 4 0
0 0 9

10 0 0
0 0 10
0 10 0

This group makes 9 orbits of sizes:

2 2 1 20 20 40 40 4 4


The solution of the corresponding linear system of equations was found after less than 10 seconds:

0 0 0 0 1 1 1 0 0 0 10 0 10 9 9 9 10 10


This produces the following generator matrix

10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
10 10 1 1 8 8 2 2 4 4 9 9 7 7 3 3 6 6 5 5 10 10 10 10 1 1 1 1 8 8 8 8 2 2 2 2 4 4 4 4 9 9 9 9 7 7 7 7 3 3 3 3 6 6 6 6 5 5 5 5 10 10 10 10 1 1 1 1 8 8 8 8 2 2 2 2 4 4 4 4 9 9 9 9 7 7 7 7 3 3 3 3 6 6 6 6 5 5 5 5
10 5 1 6 8 3 2 7 4 9 4 9 2 7 8 3 1 6 10 5 1 4 9 6 10 2 7 5 2 4 9 7 1 8 3 6 10 8 3 5 10 8 3 5 1 8 3 6 2 4 9 7 10 2 7 5 1 4 9 6 8 2 7 3 8 4 9 3 10 1 6 5 10 4 9 5 1 2 7 6 1 2 7 6 10 4 9 5 10 1 6 5 8 4 9 3 8 2 7 3



Which is a code with the following weight distribution
1y100+300x90y10+1000x91y9+30x100