Code details
best found code with parameters
q=17 k=3 n=137
minimum distance = 128
this is new optimal code
the previous bounds were -1/128
this is a projective code
We used the prescribed group of automorphisms with the following generators
This group makes 7 orbits of sizes:
The solution of the corresponding linear system of equations was found after less than 100 seconds:
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9
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1
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This produces the following generator matrix
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16
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1
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0
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1
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1
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1
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1
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1
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1
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12
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12
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12
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12
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12
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12
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5
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5
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5
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5
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5
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15
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11
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2
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8
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1
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1
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10
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12
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2
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0
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Which is a code with the following weight distribution
1y137+2448x128y9+2176x129y8+16x136y1+272x137