NAME
1
HAM.8.4.4.4
TYPE
1
100
LINEAR
1
1
DIMN
1
4
LENGTH 
1
8
FIELD
1
4
GNMX
4
00001111
00110011
01010101
10101010
NOTE
1
hamming code of length 8 over GF(4)
DIST
1
   4
WTDN

        8       4  4       4  4       4  4        2  2  2  2    8       4  4
cwe := w  + 14 w  x  + 14 w  y  + 14 w  z  + 168 w  x  y  z  + x  + 14 x  y

           4  4	   8	   4  4	   8
     + 14 x  z	+ y  + 14 y  z	+ z

                           8	   4  4	       2  6	  8
                    we := x  + 42 x  y	+ 168 x	 y  + 45 y

> lprint(cwe);
w^8+14*w^4*x^4+14*w^4*y^4+14*w^4*z^4+168*w^2*x^2*y^2*z^2+x^8+14*x^4*y^4+14*x^4
*z^4+y^8+14*y^4*z^4+z^8
> lprint(we);
x^8+42*x^4*y^4+168*x^2*y^6+45*y^8

ZZZZ