A 1216 cap in PG(9,3).
For more information see Extensions of generalized product caps.
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The weight distribution:
A'0= 1,
A'720= 16,
A'732= 16,
A'736= 12,
A'744= 8,
A'752= 60,
A'756= 16,
A'759= 512,
A'765= 128,
A'768= 4,
A'771= 640,
A'774= 1280,
A'784= 240,
A'792= 768,
A'795= 1280,
A'796= 192,
A'798= 832,
A'800= 1920,
A'801= 1280,
A'803= 3072,
A'804= 256,
A'805= 192,
A'806= 2496,
A'808= 14448,
A'809= 3072,
A'810= 640,
A'812= 3792,
A'813= 2560,
A'814= 96,
A'816= 3616,
A'817= 192,
A'818= 1920,
A'820= 4800,
A'821= 3072,
A'822= 768,
A'823= 192,
A'824= 1008,
A'828= 640,
A'832= 48,
A'834= 512,
A'846= 640,
A'849= 1280,
A'858= 160,
A'879= 320,
A'996= 32,
A'1056= 4,
A'1068= 16,