{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 587953159580355890974683988909617412559591458771}, {"parameter": "", "name": "singleton", "value": 3922632451}, {"parameter": "1", "name": "ilp_2", "value": 3486843451}, {"parameter": "2", "name": "ilp_2", "value": 12159724687723092754}, {"parameter": "3", "name": "ilp_2", "value": 42456577837362211944669189573}, {"parameter": "4", "name": "ilp_2", "value": 149887394989165629317505482725538542321}, {"parameter": "6", "name": "ilp_3", "value": 8850717440619537723538822654066196184850089}, {"parameter": "7", "name": "ilp_3", "value": 148037242826956613107824642005820589807}, {"parameter": "8", "name": "ilp_3", "value": 2503584774357359035543157280746068}, {"parameter": "9", "name": "ilp_3", "value": 42391965909103586884034671294}, {"parameter": "", "name": "anticode", "value": 3486843451}, {"parameter": "", "name": "linear_programming_bound", "value": 3486843451}, {"parameter": "", "name": "sphere_packing", "value": 70148102672115560189047}, {"parameter": "", "name": "spread_bound", "value": 3486843451}, {"parameter": "", "name": "XiaFuJohnson1", "value": 3486843451}, {"parameter": "10", "name": "ilp_4", "value": 42391965909103586884034671294}, {"parameter": "11", "name": "ilp_4", "value": 6461095566346135505314625}, {"parameter": "12", "name": "ilp_4", "value": 984777722291800851448}, {"parameter": "13", "name": "ilp_4", "value": 150095908403769057}, {"parameter": "14", "name": "ilp_4", "value": 22876991869994}, {"parameter": "", "name": "johnson_1", "value": 3486843451}, {"parameter": "", "name": "johnson_2", "value": 22876991869994}, {"parameter": "0, 5", "name": "Ahlswede_Aydinian", "value": 587953159580355890974683988909617412559591458771}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 8850717440619537723538822654066196184850089}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 148037242826956613107824642005820589807}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 2503584774357359035543157280746068}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 42391965909103586884034671294}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 42391965909103586884034671294}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 6461095566346135505314625}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 984777722291800851448}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 150095908403769057}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 22876991869994}, {"parameter": "1, 4", "name": "Ahlswede_Aydinian", "value": 149887394989165629317505482725538542321}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 20307193473427905765071077453473259}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 3056931133526112161093140612348}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 465285553061384240839581171}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 465285639520487508391864113}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 638155709919635805412983}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 875442711808667738693}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 1201054628645314085}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 1649670663354770}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 2288062804187}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 3487315879}, {"parameter": "2, 3", "name": "Ahlswede_Aydinian", "value": 42456577837362211944669189573}, {"parameter": "2, 4", "name": "Ahlswede_Aydinian", "value": 51776314450455667451668556}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 70148102672115560189047}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 70148104279615187886445}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 864839980895740234078}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 10682661211774341852}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 131976188236752261}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 1629577603889143}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 20145516951555}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 251777018466}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 3491573932}, {"parameter": "3, 2", "name": "Ahlswede_Aydinian", "value": 12159724687723092754}, {"parameter": "3, 3", "name": "Ahlswede_Aydinian", "value": 133623348254586964}, {"parameter": "3, 4", "name": "Ahlswede_Aydinian", "value": 133623348595234093}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 14666198398069045}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 1647436324626321}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 183021265971290}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 20338757855524}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 2260198021030}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 251474227428}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 28286485380}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 3530369206}, {"parameter": "4, 1", "name": "Ahlswede_Aydinian", "value": 3486843451}, {"parameter": "4, 2", "name": "Ahlswede_Aydinian", "value": 3486843451}, {"parameter": "4, 3", "name": "Ahlswede_Aydinian", "value": 3486843459}, {"parameter": "4, 4", "name": "Ahlswede_Aydinian", "value": 3486843532}, {"parameter": "4, 5", "name": "Ahlswede_Aydinian", "value": 3486844188}, {"parameter": "4, 6", "name": "Ahlswede_Aydinian", "value": 3486850093}, {"parameter": "4, 7", "name": "Ahlswede_Aydinian", "value": 3486903230}, {"parameter": "4, 8", "name": "Ahlswede_Aydinian", "value": 3487381535}, {"parameter": "4, 9", "name": "Ahlswede_Aydinian", "value": 3491691544}, {"parameter": "4, 10", "name": "Ahlswede_Aydinian", "value": 3530912605}, {"parameter": "4, 11", "name": "Ahlswede_Aydinian", "value": 3922632451}, {"parameter": "0, 10, o", "name": "Ahlswede_Aydinian", "value": 587953159580355890974683988909617412559591458771}, {"parameter": "0, 11, o", "name": "Ahlswede_Aydinian", "value": 149887394989165629317505482725538542321}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 42456577837362211944669189573}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 12159724687723092754}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 3486843451}, {"parameter": "1, 9, o", "name": "Ahlswede_Aydinian", "value": 8850717440619537723538822654066196184850089}, {"parameter": "1, 10, o", "name": "Ahlswede_Aydinian", "value": 20307193473427905765071077453473259}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 51776314450455667451668556}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 133623348254586964}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 135108049330733342}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 150120054773177383}, {"parameter": "2, 8, o", "name": "Ahlswede_Aydinian", "value": 148037242826956613107824642005820589807}, {"parameter": "2, 9, o", "name": "Ahlswede_Aydinian", "value": 3056931133526112161093140612348}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 70148102672115560189047}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 70243204996747272572551}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 71110405040282407647566}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 79889467184726265457619}, {"parameter": "3, 7, o", "name": "Ahlswede_Aydinian", "value": 2503584774357359035543157280746068}, {"parameter": "3, 8, o", "name": "Ahlswede_Aydinian", "value": 465285553061384240839581171}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 465355605073832728639326485}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 465993952835617378188473456}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 471810885855905066976241285}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 530706333764662471697485852}, {"parameter": "4, 6, o", "name": "Ahlswede_Aydinian", "value": 42391965909103586884034671294}, {"parameter": "4, 7, o", "name": "Ahlswede_Aydinian", "value": 42392683722303167803985399162}, {"parameter": "4, 8, o", "name": "Ahlswede_Aydinian", "value": 42399145025885602978057907562}, {"parameter": "4, 9, o", "name": "Ahlswede_Aydinian", "value": 42457376635380859004564157831}, {"parameter": "4, 10, o", "name": "Ahlswede_Aydinian", "value": 42988012053772021228829040005}, {"parameter": "4, 11, o", "name": "Ahlswede_Aydinian", "value": 48360684318187059842589436510}, {"parameter": "", "name": "improved_johnson", "value": 3486843451}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 16677358449835498}], "known_codes": [], "upper_bound": 3486843451, "classified": false, "lower_bound": 3486843451, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 3486784401}, {"parameter": "", "name": "sphere_covering", "value": 472409}, {"parameter": "", "name": "graham_sloane", "value": 1}, {"parameter": "", "name": "partial_spread_3", "value": 3486843451}, {"parameter": "", "name": "multicomponent", "value": 3486843451}, {"parameter": "[(0, 1, 2, 3, 4), (5, 6, 7, 8, 9), (10, 11, 12, 13, 14)]", "name": "ef_computation", "value": 3486843451}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 3486784401}, {"parameter": "(5, 10)", "name": "CKMP2019_Lem_41", "value": 3486843451}, {"parameter": "(6, 9)", "name": "CKMP2019_Lem_41", "value": 387420490}, {"parameter": "(7, 8)", "name": "CKMP2019_Lem_41", "value": 43046722}, {"parameter": "(8, 7)", "name": "CKMP2019_Lem_41", "value": 4782970}, {"parameter": "(9, 6)", "name": "CKMP2019_Lem_41", "value": 531442}, {"parameter": "(10, 5)", "name": "CKMP2019_Lem_41", "value": 3486843451}, {"parameter": "(5, 5, 5)", "name": "CKMP2019_Lem_41", "value": 3486843451}, {"parameter": "(5, 10)", "name": "CKMP2019_Cor_42", "value": 3486843451}, {"parameter": "(6, 9)", "name": "CKMP2019_Cor_42", "value": 387420490}, {"parameter": "(7, 8)", "name": "CKMP2019_Cor_42", "value": 43046722}, {"parameter": "(8, 7)", "name": "CKMP2019_Cor_42", "value": 4782970}, {"parameter": "(9, 6)", "name": "CKMP2019_Cor_42", "value": 531442}, {"parameter": "(10, 5)", "name": "CKMP2019_Cor_42", "value": 3486843451}, {"parameter": "(5, 5, 5)", "name": "CKMP2019_Cor_42", "value": 3486843451}, {"parameter": "5", "name": "linkage_GLT", "value": 3486843451}, {"parameter": "6", "name": "linkage_GLT", "value": 387420490}, {"parameter": "7", "name": "linkage_GLT", "value": 43046722}, {"parameter": "8", "name": "linkage_GLT", "value": 4782970}, {"parameter": "9", "name": "linkage_GLT", "value": 531442}, {"parameter": "10", "name": "linkage_GLT", "value": 3486843451}, {"parameter": "5", "name": "improved_linkage", "value": 3486843451}, {"parameter": "6", "name": "improved_linkage", "value": 387420490}, {"parameter": "7", "name": "improved_linkage", "value": 43046722}, {"parameter": "8", "name": "improved_linkage", "value": 4782970}, {"parameter": "9", "name": "improved_linkage", "value": 531442}, {"parameter": "10", "name": "improved_linkage", "value": 3486843451}, {"parameter": "5,0", "name": "generalized_linkage", "value": 3486843451}, {"parameter": "6,0", "name": "generalized_linkage", "value": 387420490}, {"parameter": "7,0", "name": "generalized_linkage", "value": 43046722}, {"parameter": "8,0", "name": "generalized_linkage", "value": 4782970}, {"parameter": "9,0", "name": "generalized_linkage", "value": 531442}, {"parameter": "10,0", "name": "generalized_linkage", "value": 3486843451}, {"parameter": "[5, 10],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 3486843451}, {"parameter": "[6, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 387420490}, {"parameter": "[7, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 43046722}, {"parameter": "[8, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 4782970}, {"parameter": "[9, 6],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 531442}, {"parameter": "[10, 5],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 3486843451}, {"parameter": "[5, 5, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 3486843451}, {"parameter": "", "name": "JohnsonLB", "value": 3486777842}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 9}], "request": [9, 15, 10, 5], "liftedmrdsizebound": 3486843451, "comments": "", "equal_bound_constraints": [{"parameter": "", "name": "spread", "value": 3486843451}, {"parameter": "", "name": "partial_spread_NS", "value": 3486843451}]}