Code details
best found code with parameters
q=23 k=3 n=223
minimum distance = 212
this is new optimal code
the previous bounds were -1/212
this is a projective code
We used the prescribed group of automorphisms with the following generators
This group makes 39 orbits of sizes:
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2
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11
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1
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22
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11
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11
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The solution of the corresponding linear system of equations was found after less than 100 seconds:
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1
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0
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1
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0
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1
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1
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0
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0
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8
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This produces the following generator matrix
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6
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14
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12
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2
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20
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10
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16
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18
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Which is a code with the following weight distribution
1y223+5808x212y11+3388x213y10+1210x214y9+726x215y8+242x216y7+242x217y6+66x221y2+484x223