Code details
best found code with parameters
q=13 k=3 n=145
minimum distance = 133
this is new optimal code
the previous bounds were -1/133
this is a projective code
We used the prescribed group of automorphisms with the following generators
This group makes 21 orbits of sizes:
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3
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6
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4
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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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12
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12
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6
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12
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4
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12
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6
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12
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4
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6
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6
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6
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The solution of the corresponding linear system of equations was found after less than 10 seconds:
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1
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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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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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0
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0
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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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12
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12
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10
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10
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11
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12
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12
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12
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12
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11
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11
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12
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9
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12
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12
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12
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12
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4
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9
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10
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12
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This produces the following generator matrix
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0
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0
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12
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0
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0
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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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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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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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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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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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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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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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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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0
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0
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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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0
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0
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12
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12
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12
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12
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0
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0
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12
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12
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12
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12
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0
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0
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12
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12
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12
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12
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0
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12
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0
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12
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12
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0
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0
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12
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6
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12
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12
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1
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1
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5
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5
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11
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11
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7
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7
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6
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6
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12
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12
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4
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4
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2
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2
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8
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8
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10
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10
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6
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6
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12
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12
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4
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4
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2
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2
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8
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8
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10
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10
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6
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6
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12
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12
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9
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9
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9
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9
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3
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3
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3
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3
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6
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6
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12
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12
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1
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1
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5
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5
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11
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11
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7
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7
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6
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6
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1
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1
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1
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1
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4
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4
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10
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10
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7
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7
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7
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7
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1
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1
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2
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2
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9
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9
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3
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3
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8
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8
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7
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7
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12
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12
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0
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0
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1
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7
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4
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4
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9
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9
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5
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5
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11
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11
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3
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3
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10
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10
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2
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2
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5
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5
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5
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5
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11
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11
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11
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11
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8
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8
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2
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2
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8
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8
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12
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12
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0
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0
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2
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8
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12
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12
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0
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0
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9
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3
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12
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12
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0
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0
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5
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11
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12
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0
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0
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12
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6
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12
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6
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0
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0
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1
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7
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12
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6
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5
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11
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5
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11
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12
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6
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1
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7
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4
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10
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12
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6
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2
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8
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2
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8
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12
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6
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4
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10
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2
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8
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4
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10
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12
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6
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12
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6
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4
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10
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2
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8
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9
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3
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12
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9
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3
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6
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12
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9
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3
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6
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9
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3
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5
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11
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1
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7
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12
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6
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12
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6
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1
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7
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5
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11
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2
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5
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11
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8
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5
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11
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5
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11
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2
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5
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11
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8
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9
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3
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5
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11
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4
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10
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4
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10
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5
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11
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9
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3
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1
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7
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5
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11
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0
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0
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9
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3
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2
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1
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1
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1
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4
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10
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1
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1
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7
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4
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10
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4
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10
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2
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8
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10
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0
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0
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9
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3
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9
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3
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0
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0
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5
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11
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1
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7
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0
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0
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Which is a code with the following weight distribution
1y145+1236x133y12+432x134y11+264x135y10+216x136y9+48x141y4