{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 123549912998815788062283863044996567525}, {"parameter": "", "name": "singleton", "value": 97734250405}, {"parameter": "2", "name": "ilp_2", "value": 68740453553}, {"parameter": "3", "name": "ilp_2", "value": 18037512147104138}, {"parameter": "4", "name": "ilp_2", "value": 4746968358983715688468}, {"parameter": "5", "name": "ilp_2", "value": 1264141408839158406417655105}, {"parameter": "6", "name": "ilp_2", "value": 353479473567887241434186003991121}, {"parameter": "8", "name": "ilp_3", "value": 5655752483351603939678821837720145}, {"parameter": "9", "name": "ilp_3", "value": 323625987534567236566234183502}, {"parameter": "10", "name": "ilp_3", "value": 19443947466492845913427988}, {"parameter": "11", "name": "ilp_3", "value": 1182128855248577822804}, {"parameter": "12", "name": "ilp_3", "value": 72080963313594962}, {"parameter": "", "name": "anticode", "value": 68740453553}, {"parameter": "", "name": "linear_programming_bound", "value": 68740453553}, {"parameter": "", "name": "sphere_packing", "value": 847946777614024249172}, {"parameter": "1", "name": "ilp_1", "value": 68731536080}, {"parameter": "13", "name": "ilp_4", "value": 72067764894822803}, {"parameter": "14", "name": "ilp_4", "value": 72067764894822803}, {"parameter": "15", "name": "ilp_4", "value": 70374381343742}, {"parameter": "", "name": "johnson_1", "value": 68731536080}, {"parameter": "", "name": "johnson_2", "value": 70374381343742}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 123549912998815788062283863044996567525}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 5655752483351603939678821837720145}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 323625987534567236566234183502}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 19443947466492845913427988}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 1182128855248577822804}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 72080963313594962}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 72067764894822803}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 72067764894822803}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 70374381343742}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 353479473567887241434186003991121}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 64728160538260685760312460232}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 14815495804286185140528080}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 3560724326136519611630}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 866081081725424113}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 866081120293384168}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 868627949425012047}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 3433254687273131}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 14084800642243}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 68772180473}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 1264141408839158406417655105}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 926114231843462550174263}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 847946777614024249172}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 815193433898335545}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 812991108179451016}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 813735604898630924}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 12764441865190573}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 202521277506791}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 3368156576715}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 69055611193}, {"parameter": "3, 4", "name": "Ahlswede_Aydinian", "value": 4746968358983715688468}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 13920780445992818125}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 50992633447839546}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 50398046161941301}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 50410125538629615}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 3165926674906256}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 199979313232679}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 12690367545552}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 845083908690}, {"parameter": "3, 13", "name": "Ahlswede_Aydinian", "value": 70084022593}, {"parameter": "4, 3", "name": "Ahlswede_Aydinian", "value": 18037512147104138}, {"parameter": "4, 4", "name": "Ahlswede_Aydinian", "value": 212206822116332}, {"parameter": "4, 5", "name": "Ahlswede_Aydinian", "value": 202252941690757}, {"parameter": "4, 6", "name": "Ahlswede_Aydinian", "value": 202265094078203}, {"parameter": "4, 7", "name": "Ahlswede_Aydinian", "value": 52912817853314}, {"parameter": "4, 8", "name": "Ahlswede_Aydinian", "value": 13192440354343}, {"parameter": "4, 9", "name": "Ahlswede_Aydinian", "value": 3319968504485}, {"parameter": "4, 10", "name": "Ahlswede_Aydinian", "value": 842764792607}, {"parameter": "4, 11", "name": "Ahlswede_Aydinian", "value": 224542811569}, {"parameter": "4, 12", "name": "Ahlswede_Aydinian", "value": 74463405185}, {"parameter": "5, 2", "name": "Ahlswede_Aydinian", "value": 68740453553}, {"parameter": "5, 3", "name": "Ahlswede_Aydinian", "value": 68740703047}, {"parameter": "5, 4", "name": "Ahlswede_Aydinian", "value": 68741701038}, {"parameter": "5, 5", "name": "Ahlswede_Aydinian", "value": 68745693232}, {"parameter": "5, 6", "name": "Ahlswede_Aydinian", "value": 68761665687}, {"parameter": "5, 7", "name": "Ahlswede_Aydinian", "value": 68825614411}, {"parameter": "5, 8", "name": "Ahlswede_Aydinian", "value": 69082355235}, {"parameter": "5, 9", "name": "Ahlswede_Aydinian", "value": 70124678734}, {"parameter": "5, 10", "name": "Ahlswede_Aydinian", "value": 74555055443}, {"parameter": "5, 11", "name": "Ahlswede_Aydinian", "value": 97734250405}, {"parameter": "0, 9, o", "name": "Ahlswede_Aydinian", "value": 123549912998815788062283863044996567525}, {"parameter": "0, 10, o", "name": "Ahlswede_Aydinian", "value": 353479473567887241434186003991121}, {"parameter": "0, 11, o", "name": "Ahlswede_Aydinian", "value": 1264141408839158406417655105}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 4746968358983715688468}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 18037512147104138}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 68740453553}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 68731536080}, {"parameter": "1, 8, o", "name": "Ahlswede_Aydinian", "value": 5655752483351603939678821837720145}, {"parameter": "1, 9, o", "name": "Ahlswede_Aydinian", "value": 64728160538260685760312460232}, {"parameter": "1, 10, o", "name": "Ahlswede_Aydinian", "value": 926114231843462550174263}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 13920780445992818125}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 212206822116332}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 214628115115130}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 225359389445204}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 281698377141768}, {"parameter": "2, 7, o", "name": "Ahlswede_Aydinian", "value": 323625987534567236566234183502}, {"parameter": "2, 8, o", "name": "Ahlswede_Aydinian", "value": 14815495804286185140528080}, {"parameter": "2, 9, o", "name": "Ahlswede_Aydinian", "value": 847946777614024249172}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 50992633447839546}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 51085981487367000}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 51846153563055388}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 55086378055788693}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 72299767994519230}, {"parameter": "3, 6, o", "name": "Ahlswede_Aydinian", "value": 19443947466492845913427988}, {"parameter": "3, 7, o", "name": "Ahlswede_Aydinian", "value": 3560724326136519611630}, {"parameter": "3, 8, o", "name": "Ahlswede_Aydinian", "value": 815193433898335545}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 815977704590808384}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 819126858709761061}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 831923326239119200}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 886507472432851952}, {"parameter": "3, 13, o", "name": "Ahlswede_Aydinian", "value": 73564661720828092}, {"parameter": "4, 5, o", "name": "Ahlswede_Aydinian", "value": 1182128855248577822804}, {"parameter": "4, 6, o", "name": "Ahlswede_Aydinian", "value": 866081081725424113}, {"parameter": "4, 7, o", "name": "Ahlswede_Aydinian", "value": 863753479812119177}, {"parameter": "4, 8, o", "name": "Ahlswede_Aydinian", "value": 864592154041602223}, {"parameter": "4, 9, o", "name": "Ahlswede_Aydinian", "value": 867966979191415964}, {"parameter": "4, 10, o", "name": "Ahlswede_Aydinian", "value": 881680162924761408}, {"parameter": "4, 11, o", "name": "Ahlswede_Aydinian", "value": 235693677874997499}, {"parameter": "4, 12, o", "name": "Ahlswede_Aydinian", "value": 78449517889004879}, {"parameter": "5, 4, o", "name": "Ahlswede_Aydinian", "value": 72080963313594962}, {"parameter": "5, 5, o", "name": "Ahlswede_Aydinian", "value": 72085345867718819}, {"parameter": "5, 6, o", "name": "Ahlswede_Aydinian", "value": 72102880349152408}, {"parameter": "5, 7, o", "name": "Ahlswede_Aydinian", "value": 72173086580347993}, {"parameter": "5, 8, o", "name": "Ahlswede_Aydinian", "value": 72455008661961861}, {"parameter": "5, 9, o", "name": "Ahlswede_Aydinian", "value": 73600529062818675}, {"parameter": "5, 10, o", "name": "Ahlswede_Aydinian", "value": 78486867413471435}, {"parameter": "5, 11, o", "name": "Ahlswede_Aydinian", "value": 104514759495347685}, {"parameter": "", "name": "improved_johnson", "value": 68731536070}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 70375186726912}], "known_codes": [], "upper_bound": 68731536070, "classified": false, "lower_bound": 68719476737, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 68719476736}, {"parameter": "", "name": "sphere_covering", "value": 46166}, {"parameter": "", "name": "graham_sloane", "value": 1}, {"parameter": "", "name": "multicomponent", "value": 68719476737}, {"parameter": "[(0, 1, 2, 3, 4, 5, 6), (5, 7, 8, 9, 10, 12, 15)]", "name": "ef_computation", "value": 68719476737}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 68719476736}, {"parameter": "(7, 9)", "name": "CKMP2019_Lem_41", "value": 68719476737}, {"parameter": "(8, 8)", "name": "CKMP2019_Lem_41", "value": 4294967297}, {"parameter": "(9, 7)", "name": "CKMP2019_Lem_41", "value": 268435457}, {"parameter": "(7, 9)", "name": "CKMP2019_Cor_42", "value": 68719476737}, {"parameter": "(8, 8)", "name": "CKMP2019_Cor_42", "value": 4294967297}, {"parameter": "(9, 7)", "name": "CKMP2019_Cor_42", "value": 268435457}, {"parameter": "", "name": "construction_1", "value": 68719476737}, {"parameter": "7", "name": "linkage_GLT", "value": 68719476737}, {"parameter": "8", "name": "linkage_GLT", "value": 4294967297}, {"parameter": "9", "name": "linkage_GLT", "value": 268435457}, {"parameter": "7", "name": "improved_linkage", "value": 68719476737}, {"parameter": "8", "name": "improved_linkage", "value": 4294967297}, {"parameter": "9", "name": "improved_linkage", "value": 268435457}, {"parameter": "10", "name": "improved_linkage", "value": 16385}, {"parameter": "7,0", "name": "generalized_linkage", "value": 68719476737}, {"parameter": "7,1", "name": "generalized_linkage", "value": 68719476737}, {"parameter": "8,0", "name": "generalized_linkage", "value": 4294967297}, {"parameter": "8,1", "name": "generalized_linkage", "value": 4294967297}, {"parameter": "9,0", "name": "generalized_linkage", "value": 268435457}, {"parameter": "9,1", "name": "generalized_linkage", "value": 268435457}, {"parameter": "10,1", "name": "generalized_linkage", "value": 16385}, {"parameter": "[7, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 68719476737}, {"parameter": "[7, 9],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 68719476737}, {"parameter": "[8, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 4294967297}, {"parameter": "[8, 8],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 4294967297}, {"parameter": "[9, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 268435457}, {"parameter": "[9, 7],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 268435457}, {"parameter": "[10, 6],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 16385}, {"parameter": "", "name": "JohnsonLB", "value": 68718428164}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 4194308}], "request": [4, 16, 12, 7], "liftedmrdsizebound": 68719476737, "comments": "", "equal_bound_constraints": []}