A 13312 cap in PG(12,3)
A product cap of the caps in PG(7,3) and PG(5,3) (236*56+12 points) plus a 84-point completion. For more information see Large caps in small spaces.
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The weight distribution:
A'0= 1,
A'7040= 4,
A'7840= 2,
A'8092= 4,
A'8116= 12,
A'8140= 2,
A'8192= 14,
A'8204= 10,
A'8216= 6,
A'8240= 8,
A'8292= 4,
A'8304= 10,
A'8316= 18,
A'8320= 60,
A'8360= 160,
A'8392= 10,
A'8396= 160,
A'8404= 10,
A'8416= 36,
A'8440= 4,
A'8472= 1024,
A'8478= 768,
A'8484= 1536,
A'8492= 10,
A'8496= 18,
A'8504= 10,
A'8508= 256,
A'8516= 6,
A'8540= 10,
A'8544= 276,
A'8556= 138,
A'8564= 64,
A'8568= 184,
A'8576= 240,
A'8592= 64,
A'8604= 190,
A'8616= 48,
A'8640= 56,
A'8649= 64,
A'8660= 320,
A'8662= 160,
A'8663= 160,
A'8664= 160,
A'8665= 320,
A'8666= 608,
A'8667= 320,
A'8668= 800,
A'8669= 1280,
A'8670= 1920,
A'8671= 2080,
A'8672= 1888,
A'8673= 1600,
A'8674= 1600,
A'8675= 960,
A'8676= 1920,
A'8677= 640,
A'8678= 480,
A'8679= 640,
A'8680= 160,
A'8681= 480,
A'8682= 320,
A'8684= 160,
A'8685= 160,
A'8687= 320,
A'8688= 160,
A'8690= 128,
A'8692= 16,
A'8696= 160,
A'8699= 800,
A'8700= 128,
A'8702= 480,
A'8704= 222,
A'8708= 640,
A'8712= 192,
A'8716= 66,
A'8717= 64,
A'8722= 320,
A'8724= 64,
A'8725= 800,
A'8728= 1440,
A'8736= 2048,
A'8740= 4,
A'8741= 64,
A'8746= 192,
A'8748= 8480,
A'8751= 4768,
A'8752= 64,
A'8754= 8000,
A'8758= 64,
A'8760= 160,
A'8763= 768,
A'8768= 448,
A'8769= 160,
A'8774= 480,
A'8775= 256,
A'8777= 800,
A'8780= 864,
A'8782= 64,
A'8783= 320,
A'8785= 64,
A'8786= 1120,
A'8792= 966,
A'8794= 384,
A'8795= 320,
A'8797= 1152,
A'8800= 6080,
A'8802= 128,
A'8803= 3040,
A'8804= 438,
A'8806= 4016,
A'8809= 256,
A'8810= 320,
A'8812= 4632,
A'8813= 384,
A'8814= 2304,
A'8816= 268,
A'8819= 2688,
A'8820= 2496,
A'8821= 24,
A'8822= 320,
A'8824= 2232,
A'8825= 768,
A'8826= 2872,
A'8829= 4320,
A'8830= 320,
A'8831= 480,
A'8832= 7488,
A'8833= 3456,
A'8834= 1032,
A'8835= 160,
A'8836= 4192,
A'8837= 664,
A'8838= 160,
A'8839= 768,
A'8840= 10560,
A'8841= 2496,
A'8842= 176,
A'8843= 2304,
A'8844= 6168,
A'8845= 240,
A'8846= 2408,
A'8847= 1312,
A'8848= 35592,
A'8849= 1944,
A'8850= 3240,
A'8851= 144,
A'8852= 13800,
A'8853= 1984,
A'8854= 21192,
A'8855= 3408,
A'8856= 17864,
A'8857= 5784,
A'8858= 17088,
A'8859= 432,
A'8860= 36544,
A'8861= 13024,
A'8862= 5056,
A'8864= 214288,
A'8865= 2472,
A'8866= 40400,
A'8867= 3120,
A'8868= 74648,
A'8869= 27024,
A'8870= 6752,
A'8871= 6912,
A'8872= 135176,
A'8873= 160,
A'8874= 23928,
A'8875= 13032,
A'8876= 47504,
A'8877= 536,
A'8878= 13120,
A'8879= 792,
A'8880= 77232,
A'8881= 5592,
A'8882= 22632,
A'8883= 2304,
A'8884= 29496,
A'8885= 6120,
A'8886= 3336,
A'8887= 432,
A'8888= 41736,
A'8889= 3096,
A'8890= 3208,
A'8891= 48,
A'8892= 66768,
A'8893= 480,
A'8894= 4160,
A'8895= 24504,
A'8896= 28888,
A'8897= 408,
A'8898= 31576,
A'8899= 6344,
A'8900= 9960,
A'8901= 368,
A'8902= 3744,
A'8903= 8192,
A'8904= 20686,
A'8905= 3960,
A'8906= 11064,
A'8907= 7408,
A'8908= 11520,
A'8909= 5112,
A'8910= 13824,
A'8911= 15104,
A'8912= 20120,
A'8913= 10080,
A'8914= 10632,
A'8915= 1760,
A'8916= 15426,
A'8917= 15544,
A'8918= 1600,
A'8919= 2224,
A'8920= 7040,
A'8921= 800,
A'8922= 1552,
A'8923= 1536,
A'8924= 2656,
A'8925= 704,
A'8926= 256,
A'8928= 2448,
A'8929= 1536,
A'8930= 1504,
A'8932= 864,
A'8933= 992,
A'8934= 768,
A'8936= 27776,
A'8937= 408,
A'8938= 1280,
A'8939= 800,
A'8940= 5890,
A'8942= 1344,
A'8944= 1056,
A'8945= 800,
A'8946= 5440,
A'8950= 1632,
A'8951= 480,
A'8952= 8984,
A'8953= 384,
A'8956= 1184,
A'8957= 96,
A'8958= 768,
A'8959= 800,
A'8962= 3200,
A'8964= 192,
A'8965= 320,
A'8966= 64,
A'8967= 576,
A'8968= 960,
A'8971= 1440,
A'8972= 384,
A'8973= 320,
A'8974= 2880,
A'8976= 640,
A'8977= 160,
A'8979= 128,
A'8980= 1440,
A'8982= 384,
A'8984= 192,
A'8985= 800,
A'8986= 1920,
A'8988= 1824,
A'8989= 64,
A'8990= 320,
A'8991= 320,
A'8992= 116,
A'8993= 576,
A'8994= 800,
A'8996= 192,
A'8997= 1440,
A'9001= 384,
A'9002= 288,
A'9003= 160,
A'9004= 30,
A'9008= 160,
A'9011= 1184,
A'9013= 128,
A'9014= 480,
A'9016= 60,
A'9017= 480,
A'9020= 1440,
A'9023= 480,
A'9029= 480,
A'9032= 64,
A'9034= 320,
A'9040= 1082,
A'9043= 320,
A'9046= 160,
A'9049= 960,
A'9055= 160,
A'9069= 160,
A'9075= 480,
A'9092= 12,
A'9095= 160,
A'9104= 20,
A'9107= 160,
A'9116= 12,
A'9121= 160,
A'9124= 160,
A'9127= 480,
A'9133= 160,
A'9140= 12,
A'9173= 320,
A'9176= 128,
A'9185= 320,
A'9192= 14,
A'9204= 20,
A'9211= 160,
A'9216= 54,
A'9240= 4,
A'9292= 8,
A'9304= 20,
A'9316= 36,
A'9332= 160,
A'9340= 2,
A'9392= 8,
A'9404= 20,
A'9416= 12,
A'9440= 14,
A'9456= 160,
A'9492= 8,
A'9516= 24,
A'9540= 4,
A'9592= 2,
A'9616= 6,
A'9692= 2,
A'9740= 2,
A'9792= 2,
A'9816= 6,
A'9840= 4,
A'9872= 160,
A'9992= 4,
A'10040= 4,
A'10140= 2,
A'10620= 8,
A'10640= 2,
A'10668= 48,
A'10680= 24,
A'10692= 32,
A'10848= 32,