Code details
best found code with parameters
q=23 k=3 n=146
minimum distance = 138
this is new optimal code
the previous bounds were -1/138
this is a projective code
We used the prescribed group of automorphisms with the following generators
This group makes 53 orbits of sizes:
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The solution of the corresponding linear system of equations was found after less than 100 seconds:
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This produces the following generator matrix
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11
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5
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19
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21
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15
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Which is a code with the following weight distribution
1y146+5324x138y8+2420x139y7+968x140y6+1210x141y5+726x142y4+484x143y3+550x144y2+242x145y1+242x146