A 3136 cap in AG(4,32).

For more information see Large caps in small spaces.

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The prime polynomial used to generate GF(32) is: X5+X2+1. The element f=aX4+bX3+cX2+dX+e, a,b,c,d,e in {0,1}, is written as the number a*16+b*8+c*4+d*2+e. The numbers are written decimal always with two digts, so "00"=0, "01"=1,... .

The weight distribution:

A'0= 1, A'2936= 2883, A'3002= 961, A'3004= 43245, A'3006= 158565, A'3008= 13299, A'3010= 12276, A'3014= 158565, A'3016= 95139, A'3018= 190278, A'3020= 95139, A'3022= 31713, A'3024= 158565, A'3026= 1522224, A'3028= 1902780, A'3030= 2441901, A'3032= 2949309, A'3033= 253704, A'3034= 2790744, A'3035= 192200, A'3036= 1902780, A'3037= 824538, A'3038= 3900699, A'3039= 761112, A'3040= 3076161, A'3042= 3551856, A'3044= 2410188, A'3046= 348843, A'3048= 126852, A'3050= 443982, A'3052= 475695, A'3054= 475695, A'3056= 570834, A'3062= 475695, A'3064= 792825, A'3066= 221991, A'3068= 170097, A'3101= 62, A'3132= 4092, A'3134= 3100, A'3136= 3844,



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