{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 193281338737652937508391225143510665}, {"parameter": "", "name": "singleton", "value": 628292358729}, {"parameter": "1", "name": "ilp_2", "value": 550831656968}, {"parameter": "2", "name": "ilp_2", "value": 307629618683649412600385}, {"parameter": "4", "name": "ilp_3", "value": 330395450833594764971608931869249}, {"parameter": "5", "name": "ilp_3", "value": 635240131916759855745456181761}, {"parameter": "", "name": "anticode", "value": 550831656968}, {"parameter": "", "name": "linear_programming_bound", "value": 550831656968}, {"parameter": "", "name": "sphere_packing", "value": 4214104365536059363083}, {"parameter": "", "name": "DrakeFreeman", "value": 550831656964}, {"parameter": "", "name": "partial_spread_5", "value": 550831656967}, {"parameter": "", "name": "partial_spread_kurz16_28", "value": 550831656961}, {"parameter": "", "name": "spread_bound", "value": 550831656968}, {"parameter": "", "name": "XiaFuJohnson1", "value": 550831656968}, {"parameter": "6", "name": "ilp_4", "value": 635240131916759855745456181761}, {"parameter": "7", "name": "ilp_4", "value": 9906282993523947101350756999}, {"parameter": "8", "name": "ilp_4", "value": 154899016991410197561022676}, {"parameter": "9", "name": "ilp_4", "value": 2422584546708741542904321}, {"parameter": "10", "name": "ilp_4", "value": 37852739427117757173176}, {"parameter": "11", "name": "ilp_4", "value": 591449897973767639907}, {"parameter": "12", "name": "ilp_4", "value": 9241421698270494729}, {"parameter": "13", "name": "ilp_4", "value": 144397212961734655}, {"parameter": "14", "name": "ilp_4", "value": 2256206458818559}, {"parameter": "15", "name": "ilp_4", "value": 35253226046016}, {"parameter": "", "name": "johnson_1", "value": 550831656968}, {"parameter": "", "name": "johnson_2", "value": 35253226046016}, {"parameter": "0, 3", "name": "Ahlswede_Aydinian", "value": 193281338737652937508391225143510665}, {"parameter": "0, 4", "name": "Ahlswede_Aydinian", "value": 330395450833594764971608931869249}, {"parameter": "0, 5", "name": "Ahlswede_Aydinian", "value": 635240131916759855745456181761}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 635240131916759855745456181761}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 9906282993523947101350756999}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 154899016991410197561022676}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 2422584546708741542904321}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 37852739427117757173176}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 591449897973767639907}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 9241421698270494729}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 144397212961734655}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 2256206458818559}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 35253226046016}, {"parameter": "1, 2", "name": "Ahlswede_Aydinian", "value": 307629618683649412600385}, {"parameter": "1, 3", "name": "Ahlswede_Aydinian", "value": 4214104365536059363083}, {"parameter": "1, 4", "name": "Ahlswede_Aydinian", "value": 4214104365588982201960}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 518672849005955511240}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 65718782090612719959}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 8212873618412530812}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 1026825182058844623}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 128352718598898686}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 16044195360899505}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 2005577123701534}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 250749987119300}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 31396682527667}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 3978335074564}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 558482096641}, {"parameter": "2, 1", "name": "Ahlswede_Aydinian", "value": 550831656968}, {"parameter": "2, 2", "name": "Ahlswede_Aydinian", "value": 550831656968}, {"parameter": "2, 3", "name": "Ahlswede_Aydinian", "value": 550831656975}, {"parameter": "2, 4", "name": "Ahlswede_Aydinian", "value": 550831657032}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 550831657480}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 550831661071}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 550831689800}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 550831919625}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 550833758231}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 550848467472}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 550966166593}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 551909374239}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 559559807866}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 628292358729}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 193281338737652937508391225143510665}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 307629618683649412600385}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 550831656968}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 330395450833594764971608931869249}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 4214104365536059363083}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 4272633592834414405867}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 4806712791930946228801}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 635240131916759855745456181761}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 636463839362536257142719060536}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 646408586851545290384764869867}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 737309794366817196670904616585}, {"parameter": "", "name": "improved_johnson", "value": 550831656961}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 591595420545479639616}], "known_codes": [], "upper_bound": 550831656961, "classified": false, "lower_bound": 550831656961, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 549755813888}, {"parameter": "", "name": "sphere_covering", "value": 7545639137}, {"parameter": "", "name": "graham_sloane", "value": 17076875}, {"parameter": "", "name": "partial_spread_3", "value": 550831656961}, {"parameter": "", "name": "multicomponent", "value": 550831656961}, {"parameter": "[(0, 1, 2), (3, 4, 5), (6, 7, 8), (9, 10, 11), (13, 14, 15)]", "name": "ef_computation", "value": 550831656961}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 549755813888}, {"parameter": "(3, 13)", "name": "CKMP2019_Lem_41", "value": 550831656961}, {"parameter": "(4, 12)", "name": "CKMP2019_Lem_41", "value": 68853957121}, {"parameter": "(5, 11)", "name": "CKMP2019_Lem_41", "value": 8606744577}, {"parameter": "(6, 10)", "name": "CKMP2019_Lem_41", "value": 550831656961}, {"parameter": "(7, 9)", "name": "CKMP2019_Lem_41", "value": 549890294273}, {"parameter": "(8, 8)", "name": "CKMP2019_Lem_41", "value": 549772623873}, {"parameter": "(9, 7)", "name": "CKMP2019_Lem_41", "value": 550831656961}, {"parameter": "(10, 6)", "name": "CKMP2019_Lem_41", "value": 550829818369}, {"parameter": "(11, 5)", "name": "CKMP2019_Lem_41", "value": 550829588481}, {"parameter": "(12, 4)", "name": "CKMP2019_Lem_41", "value": 550831656961}, {"parameter": "(13, 3)", "name": "CKMP2019_Lem_41", "value": 550831653377}, {"parameter": "(3, 3, 10)", "name": "CKMP2019_Lem_41", "value": 550831656961}, {"parameter": "(3, 4, 9)", "name": "CKMP2019_Lem_41", "value": 549890294273}, {"parameter": "(3, 5, 8)", "name": "CKMP2019_Lem_41", "value": 549772623873}, {"parameter": "(3, 6, 7)", "name": "CKMP2019_Lem_41", "value": 550831656961}, {"parameter": "(3, 7, 6)", "name": "CKMP2019_Lem_41", "value": 550829818369}, {"parameter": "(3, 8, 5)", "name": "CKMP2019_Lem_41", "value": 550829588481}, {"parameter": "(3, 9, 4)", "name": "CKMP2019_Lem_41", "value": 550831656961}, {"parameter": "(3, 10, 3)", "name": "CKMP2019_Lem_41", "value": 550831653377}, {"parameter": "(4, 3, 9)", "name": "CKMP2019_Lem_41", "value": 68853957121}, {"parameter": "(4, 4, 8)", "name": "CKMP2019_Lem_41", "value": 68736286721}, {"parameter": "(4, 5, 7)", "name": "CKMP2019_Lem_41", "value": 68721577985}, {"parameter": "(4, 6, 6)", "name": "CKMP2019_Lem_41", "value": 68853957121}, {"parameter": "(4, 7, 5)", "name": "CKMP2019_Lem_41", "value": 68853727233}, {"parameter": "(4, 8, 4)", "name": "CKMP2019_Lem_41", "value": 68853698561}, {"parameter": "(4, 9, 3)", "name": "CKMP2019_Lem_41", "value": 68853957121}, {"parameter": "(5, 3, 8)", "name": "CKMP2019_Lem_41", "value": 8606744577}, {"parameter": "(5, 4, 7)", "name": "CKMP2019_Lem_41", "value": 8592035841}, {"parameter": "(5, 5, 6)", "name": "CKMP2019_Lem_41", "value": 8590197249}, {"parameter": "(5, 6, 5)", "name": "CKMP2019_Lem_41", "value": 8606744577}, {"parameter": "(5, 7, 4)", "name": "CKMP2019_Lem_41", "value": 8606715905}, {"parameter": "(5, 8, 3)", "name": "CKMP2019_Lem_41", "value": 8606712321}, {"parameter": "(6, 3, 7)", "name": "CKMP2019_Lem_41", "value": 550831656961}, {"parameter": "(6, 4, 6)", "name": "CKMP2019_Lem_41", "value": 550829818369}, {"parameter": "(6, 5, 5)", "name": "CKMP2019_Lem_41", "value": 550829588481}, {"parameter": "(6, 6, 4)", "name": "CKMP2019_Lem_41", "value": 550831656961}, {"parameter": "(6, 7, 3)", "name": "CKMP2019_Lem_41", "value": 550831653377}, {"parameter": "(7, 3, 6)", "name": "CKMP2019_Lem_41", "value": 549890294273}, {"parameter": "(7, 4, 5)", "name": "CKMP2019_Lem_41", "value": 549890064385}, {"parameter": "(7, 5, 4)", "name": "CKMP2019_Lem_41", "value": 549890035713}, {"parameter": "(7, 6, 3)", "name": "CKMP2019_Lem_41", "value": 549890294273}, {"parameter": "(8, 3, 5)", "name": "CKMP2019_Lem_41", "value": 549772623873}, {"parameter": "(8, 4, 4)", "name": "CKMP2019_Lem_41", "value": 549772595201}, {"parameter": "(8, 5, 3)", "name": "CKMP2019_Lem_41", "value": 549772591617}, {"parameter": "(9, 3, 4)", "name": "CKMP2019_Lem_41", "value": 550831656961}, {"parameter": "(9, 4, 3)", "name": "CKMP2019_Lem_41", "value": 550831653377}, {"parameter": "(10, 3, 3)", "name": "CKMP2019_Lem_41", "value": 550829818369}, {"parameter": "(3, 3, 3, 7)", "name": "CKMP2019_Lem_41", "value": 550831656961}, {"parameter": "(3, 3, 4, 6)", "name": "CKMP2019_Lem_41", "value": 550829818369}, {"parameter": "(3, 3, 5, 5)", "name": "CKMP2019_Lem_41", "value": 550829588481}, {"parameter": "(3, 3, 6, 4)", "name": "CKMP2019_Lem_41", "value": 550831656961}, {"parameter": "(3, 3, 7, 3)", "name": "CKMP2019_Lem_41", "value": 550831653377}, {"parameter": "(3, 4, 3, 6)", "name": "CKMP2019_Lem_41", "value": 549890294273}, {"parameter": "(3, 4, 4, 5)", "name": "CKMP2019_Lem_41", "value": 549890064385}, {"parameter": "(3, 4, 5, 4)", "name": "CKMP2019_Lem_41", "value": 549890035713}, {"parameter": "(3, 4, 6, 3)", "name": "CKMP2019_Lem_41", "value": 549890294273}, {"parameter": "(3, 5, 3, 5)", "name": "CKMP2019_Lem_41", "value": 549772623873}, {"parameter": "(3, 5, 4, 4)", "name": "CKMP2019_Lem_41", "value": 549772595201}, {"parameter": "(3, 5, 5, 3)", "name": "CKMP2019_Lem_41", "value": 549772591617}, {"parameter": "(3, 6, 3, 4)", "name": "CKMP2019_Lem_41", "value": 550831656961}, {"parameter": "(3, 6, 4, 3)", "name": "CKMP2019_Lem_41", "value": 550831653377}, {"parameter": "(3, 7, 3, 3)", "name": "CKMP2019_Lem_41", "value": 550829818369}, {"parameter": "(4, 3, 3, 6)", "name": "CKMP2019_Lem_41", "value": 68853957121}, {"parameter": "(4, 3, 4, 5)", "name": "CKMP2019_Lem_41", "value": 68853727233}, {"parameter": "(4, 3, 5, 4)", "name": "CKMP2019_Lem_41", "value": 68853698561}, {"parameter": "(4, 3, 6, 3)", "name": "CKMP2019_Lem_41", "value": 68853957121}, {"parameter": "(4, 4, 3, 5)", "name": "CKMP2019_Lem_41", "value": 68736286721}, {"parameter": "(4, 4, 4, 4)", "name": "CKMP2019_Lem_41", "value": 68736258049}, {"parameter": "(4, 4, 5, 3)", "name": "CKMP2019_Lem_41", "value": 68736254465}, {"parameter": "(4, 5, 3, 4)", "name": "CKMP2019_Lem_41", "value": 68721577985}, {"parameter": "(4, 5, 4, 3)", "name": "CKMP2019_Lem_41", "value": 68721574401}, {"parameter": "(4, 6, 3, 3)", "name": "CKMP2019_Lem_41", "value": 68853957121}, {"parameter": "(5, 3, 3, 5)", "name": "CKMP2019_Lem_41", "value": 8606744577}, {"parameter": "(5, 3, 4, 4)", "name": "CKMP2019_Lem_41", "value": 8606715905}, {"parameter": "(5, 3, 5, 3)", "name": "CKMP2019_Lem_41", "value": 8606712321}, {"parameter": "(5, 4, 3, 4)", "name": "CKMP2019_Lem_41", "value": 8592035841}, {"parameter": "(5, 4, 4, 3)", "name": "CKMP2019_Lem_41", "value": 8592032257}, {"parameter": "(5, 5, 3, 3)", "name": "CKMP2019_Lem_41", "value": 8590197249}, {"parameter": "(6, 3, 3, 4)", "name": "CKMP2019_Lem_41", "value": 550831656961}, {"parameter": "(6, 3, 4, 3)", "name": "CKMP2019_Lem_41", "value": 550831653377}, {"parameter": "(6, 4, 3, 3)", "name": "CKMP2019_Lem_41", "value": 550829818369}, {"parameter": "(7, 3, 3, 3)", "name": "CKMP2019_Lem_41", "value": 549890294273}, {"parameter": "(3, 3, 3, 3, 4)", "name": "CKMP2019_Lem_41", "value": 550831656961}, {"parameter": "(3, 3, 3, 4, 3)", "name": "CKMP2019_Lem_41", "value": 550831653377}, {"parameter": "(3, 3, 4, 3, 3)", "name": "CKMP2019_Lem_41", "value": 550829818369}, {"parameter": "(3, 4, 3, 3, 3)", "name": "CKMP2019_Lem_41", "value": 549890294273}, {"parameter": "(4, 3, 3, 3, 3)", "name": "CKMP2019_Lem_41", "value": 68853957121}, {"parameter": "(3, 13)", "name": "CKMP2019_Cor_42", "value": 550831656961}, {"parameter": "(4, 12)", "name": "CKMP2019_Cor_42", "value": 68853957121}, {"parameter": "(5, 11)", "name": "CKMP2019_Cor_42", "value": 8606744577}, {"parameter": "(6, 10)", "name": "CKMP2019_Cor_42", "value": 550831656961}, {"parameter": "(7, 9)", "name": "CKMP2019_Cor_42", "value": 549890294273}, {"parameter": "(8, 8)", "name": "CKMP2019_Cor_42", "value": 549772623873}, {"parameter": "(9, 7)", "name": "CKMP2019_Cor_42", "value": 550831656961}, {"parameter": "(10, 6)", "name": "CKMP2019_Cor_42", "value": 550829818369}, {"parameter": "(11, 5)", "name": "CKMP2019_Cor_42", "value": 550829588481}, {"parameter": "(12, 4)", "name": "CKMP2019_Cor_42", "value": 550831656961}, {"parameter": "(13, 3)", "name": "CKMP2019_Cor_42", "value": 550831653377}, {"parameter": "(3, 3, 10)", "name": "CKMP2019_Cor_42", "value": 550831656961}, {"parameter": "(3, 4, 9)", "name": "CKMP2019_Cor_42", "value": 549890294273}, {"parameter": "(3, 5, 8)", "name": "CKMP2019_Cor_42", "value": 549772623873}, {"parameter": "(3, 6, 7)", "name": "CKMP2019_Cor_42", "value": 550831656961}, {"parameter": "(3, 7, 6)", "name": "CKMP2019_Cor_42", "value": 550829818369}, {"parameter": "(3, 8, 5)", "name": "CKMP2019_Cor_42", "value": 550829588481}, {"parameter": "(3, 9, 4)", "name": "CKMP2019_Cor_42", "value": 550831656961}, {"parameter": "(3, 10, 3)", "name": "CKMP2019_Cor_42", "value": 550831653377}, {"parameter": "(4, 3, 9)", "name": "CKMP2019_Cor_42", "value": 68853957121}, {"parameter": "(4, 4, 8)", "name": "CKMP2019_Cor_42", "value": 68736286721}, {"parameter": "(4, 5, 7)", "name": "CKMP2019_Cor_42", "value": 68721577985}, {"parameter": "(4, 6, 6)", "name": "CKMP2019_Cor_42", "value": 68853957121}, {"parameter": "(4, 7, 5)", "name": "CKMP2019_Cor_42", "value": 68853727233}, {"parameter": "(4, 8, 4)", "name": "CKMP2019_Cor_42", "value": 68853698561}, {"parameter": "(4, 9, 3)", "name": "CKMP2019_Cor_42", "value": 68853957121}, {"parameter": "(5, 3, 8)", "name": "CKMP2019_Cor_42", "value": 8606744577}, {"parameter": "(5, 4, 7)", "name": "CKMP2019_Cor_42", "value": 8592035841}, {"parameter": "(5, 5, 6)", "name": "CKMP2019_Cor_42", "value": 8590197249}, {"parameter": "(5, 6, 5)", "name": "CKMP2019_Cor_42", "value": 8606744577}, {"parameter": "(5, 7, 4)", "name": "CKMP2019_Cor_42", "value": 8606715905}, {"parameter": "(5, 8, 3)", "name": "CKMP2019_Cor_42", "value": 8606712321}, {"parameter": "(6, 3, 7)", "name": "CKMP2019_Cor_42", "value": 550831656961}, {"parameter": "(6, 4, 6)", "name": "CKMP2019_Cor_42", "value": 550829818369}, {"parameter": "(6, 5, 5)", "name": "CKMP2019_Cor_42", "value": 550829588481}, {"parameter": "(6, 6, 4)", "name": "CKMP2019_Cor_42", "value": 550831656961}, {"parameter": "(6, 7, 3)", "name": "CKMP2019_Cor_42", "value": 550831653377}, {"parameter": "(7, 3, 6)", "name": "CKMP2019_Cor_42", "value": 549890294273}, {"parameter": "(7, 4, 5)", "name": "CKMP2019_Cor_42", "value": 549890064385}, {"parameter": "(7, 5, 4)", "name": "CKMP2019_Cor_42", "value": 549890035713}, {"parameter": "(7, 6, 3)", "name": "CKMP2019_Cor_42", "value": 549890294273}, {"parameter": "(8, 3, 5)", "name": "CKMP2019_Cor_42", "value": 549772623873}, {"parameter": "(8, 4, 4)", "name": "CKMP2019_Cor_42", "value": 549772595201}, {"parameter": "(8, 5, 3)", "name": "CKMP2019_Cor_42", "value": 549772591617}, {"parameter": "(9, 3, 4)", "name": "CKMP2019_Cor_42", "value": 550831656961}, {"parameter": "(9, 4, 3)", "name": "CKMP2019_Cor_42", "value": 550831653377}, {"parameter": "(10, 3, 3)", "name": "CKMP2019_Cor_42", "value": 550829818369}, {"parameter": "(3, 3, 3, 7)", "name": "CKMP2019_Cor_42", "value": 550831656961}, {"parameter": "(3, 3, 4, 6)", "name": "CKMP2019_Cor_42", "value": 550829818369}, {"parameter": "(3, 3, 5, 5)", "name": "CKMP2019_Cor_42", "value": 550829588481}, {"parameter": "(3, 3, 6, 4)", "name": "CKMP2019_Cor_42", "value": 550831656961}, {"parameter": "(3, 3, 7, 3)", "name": "CKMP2019_Cor_42", "value": 550831653377}, {"parameter": "(3, 4, 3, 6)", "name": "CKMP2019_Cor_42", "value": 549890294273}, {"parameter": "(3, 4, 4, 5)", "name": "CKMP2019_Cor_42", "value": 549890064385}, {"parameter": "(3, 4, 5, 4)", "name": "CKMP2019_Cor_42", "value": 549890035713}, {"parameter": "(3, 4, 6, 3)", "name": "CKMP2019_Cor_42", "value": 549890294273}, {"parameter": "(3, 5, 3, 5)", "name": "CKMP2019_Cor_42", "value": 549772623873}, {"parameter": "(3, 5, 4, 4)", "name": "CKMP2019_Cor_42", "value": 549772595201}, {"parameter": "(3, 5, 5, 3)", "name": "CKMP2019_Cor_42", "value": 549772591617}, {"parameter": "(3, 6, 3, 4)", "name": "CKMP2019_Cor_42", "value": 550831656961}, {"parameter": "(3, 6, 4, 3)", "name": "CKMP2019_Cor_42", "value": 550831653377}, {"parameter": "(3, 7, 3, 3)", "name": "CKMP2019_Cor_42", "value": 550829818369}, {"parameter": "(4, 3, 3, 6)", "name": "CKMP2019_Cor_42", "value": 68853957121}, {"parameter": "(4, 3, 4, 5)", "name": "CKMP2019_Cor_42", "value": 68853727233}, {"parameter": "(4, 3, 5, 4)", "name": "CKMP2019_Cor_42", "value": 68853698561}, {"parameter": "(4, 3, 6, 3)", "name": "CKMP2019_Cor_42", "value": 68853957121}, {"parameter": "(4, 4, 3, 5)", "name": "CKMP2019_Cor_42", "value": 68736286721}, {"parameter": "(4, 4, 4, 4)", "name": "CKMP2019_Cor_42", "value": 68736258049}, {"parameter": "(4, 4, 5, 3)", "name": "CKMP2019_Cor_42", "value": 68736254465}, {"parameter": "(4, 5, 3, 4)", "name": "CKMP2019_Cor_42", "value": 68721577985}, {"parameter": "(4, 5, 4, 3)", "name": "CKMP2019_Cor_42", "value": 68721574401}, {"parameter": "(4, 6, 3, 3)", "name": "CKMP2019_Cor_42", "value": 68853957121}, {"parameter": "(5, 3, 3, 5)", "name": "CKMP2019_Cor_42", "value": 8606744577}, {"parameter": "(5, 3, 4, 4)", "name": "CKMP2019_Cor_42", "value": 8606715905}, {"parameter": "(5, 3, 5, 3)", "name": "CKMP2019_Cor_42", "value": 8606712321}, {"parameter": "(5, 4, 3, 4)", "name": "CKMP2019_Cor_42", "value": 8592035841}, {"parameter": "(5, 4, 4, 3)", "name": "CKMP2019_Cor_42", "value": 8592032257}, {"parameter": "(5, 5, 3, 3)", "name": "CKMP2019_Cor_42", "value": 8590197249}, {"parameter": "(6, 3, 3, 4)", "name": "CKMP2019_Cor_42", "value": 550831656961}, {"parameter": "(6, 3, 4, 3)", "name": "CKMP2019_Cor_42", "value": 550831653377}, {"parameter": "(6, 4, 3, 3)", "name": "CKMP2019_Cor_42", "value": 550829818369}, {"parameter": "(7, 3, 3, 3)", "name": "CKMP2019_Cor_42", "value": 549890294273}, {"parameter": "(3, 3, 3, 3, 4)", "name": "CKMP2019_Cor_42", "value": 550831656961}, {"parameter": "(3, 3, 3, 4, 3)", "name": "CKMP2019_Cor_42", "value": 550831653377}, {"parameter": "(3, 3, 4, 3, 3)", "name": "CKMP2019_Cor_42", "value": 550829818369}, {"parameter": "(3, 4, 3, 3, 3)", "name": "CKMP2019_Cor_42", "value": 549890294273}, {"parameter": "(4, 3, 3, 3, 3)", "name": "CKMP2019_Cor_42", "value": 68853957121}, {"parameter": "3", "name": "linkage_GLT", "value": 550831656961}, {"parameter": "4", "name": "linkage_GLT", "value": 68853957121}, {"parameter": "5", "name": "linkage_GLT", "value": 8606744577}, {"parameter": "6", "name": "linkage_GLT", "value": 550831656961}, {"parameter": "7", "name": "linkage_GLT", "value": 549890294273}, {"parameter": "8", "name": "linkage_GLT", "value": 549772623873}, {"parameter": "9", "name": "linkage_GLT", "value": 550831656961}, {"parameter": "10", "name": "linkage_GLT", "value": 550829818369}, {"parameter": "11", "name": "linkage_GLT", "value": 550829588481}, {"parameter": "12", "name": "linkage_GLT", "value": 550831656961}, {"parameter": "13", "name": "linkage_GLT", "value": 550831653377}, {"parameter": "3", "name": "improved_linkage", "value": 550831656961}, {"parameter": "4", "name": "improved_linkage", "value": 68853957121}, {"parameter": "5", "name": "improved_linkage", "value": 8606744577}, {"parameter": "6", "name": "improved_linkage", "value": 550831656961}, {"parameter": "7", "name": "improved_linkage", "value": 549890294273}, {"parameter": "8", "name": "improved_linkage", "value": 549772623873}, {"parameter": "9", "name": "improved_linkage", "value": 550831656961}, {"parameter": "10", "name": "improved_linkage", "value": 550829818369}, {"parameter": "11", "name": "improved_linkage", "value": 550829588481}, {"parameter": "12", "name": "improved_linkage", "value": 550831656961}, {"parameter": "13", "name": "improved_linkage", "value": 550831653377}, {"parameter": "3,0", "name": "generalized_linkage", "value": 550831656961}, {"parameter": "4,0", "name": "generalized_linkage", "value": 68853957121}, {"parameter": "5,0", "name": "generalized_linkage", "value": 8606744577}, {"parameter": "6,0", "name": "generalized_linkage", "value": 550831656961}, {"parameter": "7,0", "name": "generalized_linkage", "value": 549890294273}, {"parameter": "8,0", "name": "generalized_linkage", "value": 549772623873}, {"parameter": "9,0", "name": "generalized_linkage", "value": 550831656961}, {"parameter": "10,0", "name": "generalized_linkage", "value": 550829818369}, {"parameter": "11,0", "name": "generalized_linkage", "value": 550829588481}, {"parameter": "12,0", "name": "generalized_linkage", "value": 550831656961}, {"parameter": "13,0", "name": "generalized_linkage", "value": 550831653377}, {"parameter": "[3, 13],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831656961}, {"parameter": "[4, 12],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68853957121}, {"parameter": "[5, 11],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8606744577}, {"parameter": "[6, 10],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831656961}, {"parameter": "[7, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549890294273}, {"parameter": "[8, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549772623873}, {"parameter": "[9, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831656961}, {"parameter": "[10, 6],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550829818369}, {"parameter": "[11, 5],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550829588481}, {"parameter": "[12, 4],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831656961}, {"parameter": "[13, 3],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831653377}, {"parameter": "[3, 3, 10],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831656961}, {"parameter": "[3, 4, 9],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549890294273}, {"parameter": "[3, 5, 8],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549772623873}, {"parameter": "[3, 6, 7],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831656961}, {"parameter": "[3, 7, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550829818369}, {"parameter": "[3, 8, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550829588481}, {"parameter": "[3, 9, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831656961}, {"parameter": "[3, 10, 3],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831653377}, {"parameter": "[4, 3, 9],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68853957121}, {"parameter": "[4, 4, 8],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68736286721}, {"parameter": "[4, 5, 7],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68721577985}, {"parameter": "[4, 6, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68853957121}, {"parameter": "[4, 7, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68853727233}, {"parameter": "[4, 8, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68853698561}, {"parameter": "[4, 9, 3],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68853957121}, {"parameter": "[5, 3, 8],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8606744577}, {"parameter": "[5, 4, 7],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8592035841}, {"parameter": "[5, 5, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8590197249}, {"parameter": "[5, 6, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8606744577}, {"parameter": "[5, 7, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8606715905}, {"parameter": "[5, 8, 3],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8606712321}, {"parameter": "[6, 3, 7],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831656961}, {"parameter": "[6, 4, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550829818369}, {"parameter": "[6, 5, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550829588481}, {"parameter": "[6, 6, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831656961}, {"parameter": "[6, 7, 3],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831653377}, {"parameter": "[7, 3, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549890294273}, {"parameter": "[7, 4, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549890064385}, {"parameter": "[7, 5, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549890035713}, {"parameter": "[7, 6, 3],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549890294273}, {"parameter": "[8, 3, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549772623873}, {"parameter": "[8, 4, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549772595201}, {"parameter": "[8, 5, 3],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549772591617}, {"parameter": "[9, 3, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831656961}, {"parameter": "[9, 4, 3],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831653377}, {"parameter": "[10, 3, 3],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550829818369}, {"parameter": "[3, 3, 3, 7],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831656961}, {"parameter": "[3, 3, 4, 6],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550829818369}, {"parameter": "[3, 3, 5, 5],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550829588481}, {"parameter": "[3, 3, 6, 4],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831656961}, {"parameter": "[3, 3, 7, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831653377}, {"parameter": "[3, 4, 3, 6],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549890294273}, {"parameter": "[3, 4, 4, 5],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549890064385}, {"parameter": "[3, 4, 5, 4],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549890035713}, {"parameter": "[3, 4, 6, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549890294273}, {"parameter": "[3, 5, 3, 5],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549772623873}, {"parameter": "[3, 5, 4, 4],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549772595201}, {"parameter": "[3, 5, 5, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549772591617}, {"parameter": "[3, 6, 3, 4],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831656961}, {"parameter": "[3, 6, 4, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831653377}, {"parameter": "[3, 7, 3, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550829818369}, {"parameter": "[4, 3, 3, 6],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68853957121}, {"parameter": "[4, 3, 4, 5],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68853727233}, {"parameter": "[4, 3, 5, 4],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68853698561}, {"parameter": "[4, 3, 6, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68853957121}, {"parameter": "[4, 4, 3, 5],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68736286721}, {"parameter": "[4, 4, 4, 4],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68736258049}, {"parameter": "[4, 4, 5, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68736254465}, {"parameter": "[4, 5, 3, 4],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68721577985}, {"parameter": "[4, 5, 4, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68721574401}, {"parameter": "[4, 6, 3, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68853957121}, {"parameter": "[5, 3, 3, 5],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8606744577}, {"parameter": "[5, 3, 4, 4],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8606715905}, {"parameter": "[5, 3, 5, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8606712321}, {"parameter": "[5, 4, 3, 4],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8592035841}, {"parameter": "[5, 4, 4, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8592032257}, {"parameter": "[5, 5, 3, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8590197249}, {"parameter": "[6, 3, 3, 4],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831656961}, {"parameter": "[6, 3, 4, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831653377}, {"parameter": "[6, 4, 3, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550829818369}, {"parameter": "[7, 3, 3, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549890294273}, {"parameter": "[3, 3, 3, 3, 4],[0, 0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831656961}, {"parameter": "[3, 3, 3, 4, 3],[0, 0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550831653377}, {"parameter": "[3, 3, 4, 3, 3],[0, 0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 550829818369}, {"parameter": "[3, 4, 3, 3, 3],[0, 0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 549890294273}, {"parameter": "[4, 3, 3, 3, 3],[0, 0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68853957121}, {"parameter": "", "name": "JohnsonLB", "value": 549623697414}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 8}], "request": [8, 16, 6, 3], "liftedmrdsizebound": 550831656961, "comments": "", "equal_bound_constraints": [{"parameter": "", "name": "partial_spread_2", "value": 550831656961}, {"parameter": "", "name": "partial_spread_NS", "value": 550831656961}]}