Code details
best found code with parameters
q=17 k=3 n=239
minimum distance = 224
 this is new optimal code
the previous bounds were -1/224
this is a projective code
We used the prescribed group of automorphisms with the following generators
This group makes 51 orbits of sizes:
| 
2
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2
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1
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8
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4
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8
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8
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4
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8
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8
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8
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8
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8
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8
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8
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8
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4
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8
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8
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4
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4
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8
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8
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8
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8
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4
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4
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8
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8
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8
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8
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4
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8
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4
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4
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8
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8
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8
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8
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4
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4
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8
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4
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4
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4
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4
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8
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4
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4
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2
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4
 | 
The solution of the corresponding linear system of equations was found after less than 8003 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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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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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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1
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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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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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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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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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0
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1
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14
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15
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14
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14
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13
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14
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14
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0
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14
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14
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14
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14
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14
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14
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15
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14
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15
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14
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15
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13
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13
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14
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14
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14
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15
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15
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15
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14
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14
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15
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15
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13
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14
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13
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15
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14
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14
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14
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15
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15
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13
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15
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13
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15
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15
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14
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14
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14
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14
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15
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14
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This produces the following generator matrix
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0
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0
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16
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16
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16
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16
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16
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16
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16
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16
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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0
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| 
0
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16
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0
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16
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12
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4
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8
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16
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14
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12
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10
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2
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4
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6
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8
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16
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1
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12
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5
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4
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9
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12
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4
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8
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1
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12
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3
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7
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16
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15
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3
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7
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2
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4
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14
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14
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14
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11
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7
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14
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2
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14
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14
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11
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10
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2
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3
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7
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6
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14
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1
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5
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10
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2
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13
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9
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6
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14
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1
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5
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10
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2
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13
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9
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6
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14
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2
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0
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0
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0
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0
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14
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1
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1
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5
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13
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1
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5
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15
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11
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3
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7
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13
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9
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1
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5
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15
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11
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7
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1
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5
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13
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9
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1
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5
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13
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9
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1
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5
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13
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9
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0
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0
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0
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0
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1
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5
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13
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9
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15
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7
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15
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11
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3
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7
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15
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11
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3
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7
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0
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0
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0
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0
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15
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11
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7
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16
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16
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16
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| 
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0
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0
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8
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12
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4
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16
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6
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8
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10
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12
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4
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2
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16
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14
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9
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8
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13
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4
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12
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5
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16
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1
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4
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8
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16
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13
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12
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1
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8
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16
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9
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4
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14
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8
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6
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2
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11
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15
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12
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16
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4
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15
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3
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16
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4
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12
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8
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11
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7
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12
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16
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8
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4
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14
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16
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2
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4
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12
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10
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8
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6
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16
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4
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12
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8
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14
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2
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10
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6
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1
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14
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10
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5
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13
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2
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6
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9
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15
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14
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2
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3
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11
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10
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6
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7
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10
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14
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6
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2
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3
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2
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6
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7
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15
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14
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10
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11
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7
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6
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10
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11
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3
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2
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14
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15
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13
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10
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6
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1
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9
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14
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2
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5
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9
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6
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2
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13
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5
 | 
10
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14
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1
 | 
6
 | 
10
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2
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14
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14
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10
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2
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6
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0
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0
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0
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0
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1
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13
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5
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9
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5
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1
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9
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13
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15
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11
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1
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5
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13
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9
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3
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7
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11
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7
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13
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1
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9
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5
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15
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3
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3
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15
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5
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9
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1
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13
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7
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11
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13
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9
 | 
1
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5
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9
 | 
5
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13
 | 
1
 | 
1
 | 
5
 | 
13
 | 
9
 | 
0
 | 
0
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0
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0
 | 
11
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15
 | 
7
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3
 | 
3
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7
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15
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11
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7
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11
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3
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15
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15
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11
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3
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7
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0
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0
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0
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0
 | 
14
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10
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2
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6
 | 
1
 | 
15
 | 
7
 | 
9
 | 
5
 | 
11
 | 
3
 | 
13
 | 
Which is a code with the following weight distribution
1y239+1408x224y15+2992x225y14+448x226y13+64x239