The check matrix of a [20,15,5]8.
The generator matrix of a [20,5,14]8.
10000641604271154766
01000246065371436534
00100220321374543427
00010103121365127352
00001011111111111111
The prime polynomial used to generate GF(8) is: X3+X2+1. The element f=aX2+bX+c, a,b,c in {0,1}, is written as the number a*4+b*2+c.
The weight distribution:
A'0= 1,
A'14= 1155,
A'15= 2457,
A'16= 4305,
A'17= 6930,
A'18= 8575,
A'19= 7525,
A'20= 1820.
A0= 1,
A5= 9387,
A6= 139755,
A7= 1941555,
A8= 22141665,
A9= 206970855,
A10= 1592501911,
A11= 10134972575,
A12= 53211586155,
A13= 229209441825,
A14= 802247687745,
A15= 2246279474649,
A16= 4913745537330,
A17= 8093223829005,
A18= 9442095683965,
A19= 6957333446805,
A20= 2435066723649.
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