{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 278502847205686141650283863407927164540769884103556}, {"parameter": "", "name": "singleton", "value": 305175781}, {"parameter": "1", "name": "ilp_2", "value": 244156251}, {"parameter": "2", "name": "ilp_2", "value": 59627540529688245}, {"parameter": "3", "name": "ilp_2", "value": 14580834346990700303234404}, {"parameter": "4", "name": "ilp_2", "value": 3588481865301542103269568053628876}, {"parameter": "5", "name": "ilp_2", "value": 912598130471192737441651254127296440148276}, {"parameter": "7", "name": "ilp_3", "value": 14259528298893356287455013230655223211344523276}, {"parameter": "8", "name": "ilp_3", "value": 876107661519621300531765374210814893791135}, {"parameter": "9", "name": "ilp_3", "value": 55622351693201784047474152384662236924}, {"parameter": "10", "name": "ilp_3", "value": 3554135143494969010236711047653405}, {"parameter": "11", "name": "ilp_3", "value": 227391865152924638021716445892}, {"parameter": "", "name": "anticode", "value": 244156251}, {"parameter": "", "name": "linear_programming_bound", "value": 244156251}, {"parameter": "", "name": "sphere_packing", "value": 7057952701263396163345900703}, {"parameter": "", "name": "spread_bound", "value": 244156251}, {"parameter": "", "name": "XiaFuJohnson1", "value": 244156251}, {"parameter": "12", "name": "ilp_4", "value": 227391865152924638021716445892}, {"parameter": "13", "name": "ilp_4", "value": 72760740209250022683481765}, {"parameter": "14", "name": "ilp_4", "value": 23283377265176376372222}, {"parameter": "15", "name": "ilp_4", "value": 7450814239471051979}, {"parameter": "16", "name": "ilp_4", "value": 2384262998045022}, {"parameter": "17", "name": "ilp_4", "value": 762965237499}, {"parameter": "", "name": "johnson_1", "value": 244156251}, {"parameter": "", "name": "johnson_2", "value": 762965237499}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 278502847205686141650283863407927164540769884103556}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 14259528298893356287455013230655223211344523276}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 876107661519621300531765374210814893791135}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 55622351693201784047474152384662236924}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 3554135143494969010236711047653405}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 227391865152924638021716445892}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 227391865152924638021716445892}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 72760740209250022683481765}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 23283377265176376372222}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 7450814239471051979}, {"parameter": "0, 16", "name": "Ahlswede_Aydinian", "value": 2384262998045022}, {"parameter": "0, 17", "name": "Ahlswede_Aydinian", "value": 762965237499}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 912598130471192737441651254127296440148276}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 233640075130780520178447523197407229088}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 71775150977756254955337004185721795}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 22784364120363610315970849529467}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 7279337631959726983922918376}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 7279352536264628854750260713}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 11643357610317932422210954}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 18630564325041856412817}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 29818595233349311836}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 47771220953444137}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 76938605010471}, {"parameter": "1, 16", "name": "Ahlswede_Aydinian", "value": 127204052966}, {"parameter": "1, 17", "name": "Ahlswede_Aydinian", "value": 244218757}, {"parameter": "2, 4", "name": "Ahlswede_Aydinian", "value": 3588481865301542103269568053628876}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 4594727118302125237222432642157}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 7057952701263396163345900703}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 11202527019620200816168540}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 11202532518838816251801120}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 89477353063678522646330}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 716056641980841470817}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 5729537490386200003}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 45884964269829306}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 367642788080101}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 2963884526143}, {"parameter": "2, 15", "name": "Ahlswede_Aydinian", "value": 24658251221}, {"parameter": "2, 16", "name": "Ahlswede_Aydinian", "value": 244531876}, {"parameter": "3, 3", "name": "Ahlswede_Aydinian", "value": 14580834346990700303234404}, {"parameter": "3, 4", "name": "Ahlswede_Aydinian", "value": 93466887217027151299094}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 718055486072289868681}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 718055558545379679366}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 28494574361022260164}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 1142336301755086017}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 45868766714402411}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 1834749923015510}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 73414456966867}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 2941306336803}, {"parameter": "3, 13", "name": "Ahlswede_Aydinian", "value": 118587320178}, {"parameter": "3, 14", "name": "Ahlswede_Aydinian", "value": 4938238969}, {"parameter": "3, 15", "name": "Ahlswede_Aydinian", "value": 246109501}, {"parameter": "4, 2", "name": "Ahlswede_Aydinian", "value": 59627540529688245}, {"parameter": "4, 3", "name": "Ahlswede_Aydinian", "value": 1923469056956966}, {"parameter": "4, 4", "name": "Ahlswede_Aydinian", "value": 1923469095017887}, {"parameter": "4, 5", "name": "Ahlswede_Aydinian", "value": 369992663669345}, {"parameter": "4, 6", "name": "Ahlswede_Aydinian", "value": 76347730271740}, {"parameter": "4, 7", "name": "Ahlswede_Aydinian", "value": 15246134245779}, {"parameter": "4, 8", "name": "Ahlswede_Aydinian", "value": 3053016346855}, {"parameter": "4, 9", "name": "Ahlswede_Aydinian", "value": 610603511697}, {"parameter": "4, 10", "name": "Ahlswede_Aydinian", "value": 122164476117}, {"parameter": "4, 11", "name": "Ahlswede_Aydinian", "value": 24470664319}, {"parameter": "4, 12", "name": "Ahlswede_Aydinian", "value": 4932265182}, {"parameter": "4, 13", "name": "Ahlswede_Aydinian", "value": 1026101659}, {"parameter": "4, 14", "name": "Ahlswede_Aydinian", "value": 254313151}, {"parameter": "5, 1", "name": "Ahlswede_Aydinian", "value": 244156251}, {"parameter": "5, 2", "name": "Ahlswede_Aydinian", "value": 244156251}, {"parameter": "5, 3", "name": "Ahlswede_Aydinian", "value": 244156255}, {"parameter": "5, 4", "name": "Ahlswede_Aydinian", "value": 244156276}, {"parameter": "5, 5", "name": "Ahlswede_Aydinian", "value": 244156380}, {"parameter": "5, 6", "name": "Ahlswede_Aydinian", "value": 244156901}, {"parameter": "5, 7", "name": "Ahlswede_Aydinian", "value": 244159505}, {"parameter": "5, 8", "name": "Ahlswede_Aydinian", "value": 244172523}, {"parameter": "5, 9", "name": "Ahlswede_Aydinian", "value": 244237632}, {"parameter": "5, 10", "name": "Ahlswede_Aydinian", "value": 244563595}, {"parameter": "5, 11", "name": "Ahlswede_Aydinian", "value": 246203992}, {"parameter": "5, 12", "name": "Ahlswede_Aydinian", "value": 254679211}, {"parameter": "5, 13", "name": "Ahlswede_Aydinian", "value": 305175781}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 278502847205686141650283863407927164540769884103556}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 912598130471192737441651254127296440148276}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 3588481865301542103269568053628876}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 14580834346990700303234404}, {"parameter": "0, 16, o", "name": "Ahlswede_Aydinian", "value": 59627540529688245}, {"parameter": "0, 17, o", "name": "Ahlswede_Aydinian", "value": 244156251}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 14259528298893356287455013230655223211344523276}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 233640075130780520178447523197407229088}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 4594727118302125237222432642157}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 93466887217027151299094}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 1923469056956966}, {"parameter": "1, 16, o", "name": "Ahlswede_Aydinian", "value": 1987584528271701}, {"parameter": "1, 17, o", "name": "Ahlswede_Aydinian", "value": 2385101425784991}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 876107661519621300531765374210814893791135}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 71775150977756254955337004185721795}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 7057952701263396163345900703}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 718055486072289868681}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 723613586300144583226}, {"parameter": "2, 15, o", "name": "Ahlswede_Aydinian", "value": 752558127266312709509}, {"parameter": "2, 16, o", "name": "Ahlswede_Aydinian", "value": 933172058699108294791}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 55622351693201784047474152384662236924}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 22784364120363610315970849529467}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 11202527019620200816168540}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 11220336157830102869779327}, {"parameter": "3, 13, o", "name": "Ahlswede_Aydinian", "value": 11310098809972890755437083}, {"parameter": "3, 14, o", "name": "Ahlswede_Aydinian", "value": 11777582693116911824147597}, {"parameter": "3, 15, o", "name": "Ahlswede_Aydinian", "value": 14698421645740690829002736}, {"parameter": "4, 8, o", "name": "Ahlswede_Aydinian", "value": 3554135143494969010236711047653405}, {"parameter": "4, 9, o", "name": "Ahlswede_Aydinian", "value": 7279337631959726983922918376}, {"parameter": "4, 10, o", "name": "Ahlswede_Aydinian", "value": 7281664032664589731108830276}, {"parameter": "4, 11, o", "name": "Ahlswede_Aydinian", "value": 7293314671027220997462531429}, {"parameter": "4, 12, o", "name": "Ahlswede_Aydinian", "value": 7352037496114042386073391504}, {"parameter": "4, 13, o", "name": "Ahlswede_Aydinian", "value": 7657881598271963485449500005}, {"parameter": "4, 14, o", "name": "Ahlswede_Aydinian", "value": 9569283749811464701602707541}, {"parameter": "5, 7, o", "name": "Ahlswede_Aydinian", "value": 227391865152924638021716445892}, {"parameter": "5, 8, o", "name": "Ahlswede_Aydinian", "value": 227406414357472359385633864437}, {"parameter": "5, 9, o", "name": "Ahlswede_Aydinian", "value": 227479183664622886426762117248}, {"parameter": "5, 10, o", "name": "Ahlswede_Aydinian", "value": 227843613243518958165243291794}, {"parameter": "5, 11, o", "name": "Ahlswede_Aydinian", "value": 229680454762618016674707035286}, {"parameter": "5, 12, o", "name": "Ahlswede_Aydinian", "value": 239247308436918906285271974253}, {"parameter": "5, 13, o", "name": "Ahlswede_Aydinian", "value": 299039198587280398947721603556}, {"parameter": "", "name": "improved_johnson", "value": 244156251}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 476859375284251}], "known_codes": [], "upper_bound": 244156251, "classified": false, "lower_bound": 244156251, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 244140625}, {"parameter": "", "name": "sphere_covering", "value": 62509}, {"parameter": "", "name": "graham_sloane", "value": 1}, {"parameter": "", "name": "partial_spread_3", "value": 244156251}, {"parameter": "", "name": "multicomponent", "value": 244156251}, {"parameter": "[(0, 1, 2, 3, 4, 5), (6, 7, 8, 9, 10, 11), (12, 13, 14, 15, 16, 17)]", "name": "ef_computation", "value": 244156251}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 244140625}, {"parameter": "(6, 12)", "name": "CKMP2019_Lem_41", "value": 244156251}, {"parameter": "(7, 11)", "name": "CKMP2019_Lem_41", "value": 48828126}, {"parameter": "(8, 10)", "name": "CKMP2019_Lem_41", "value": 9765626}, {"parameter": "(9, 9)", "name": "CKMP2019_Lem_41", "value": 1953126}, {"parameter": "(10, 8)", "name": "CKMP2019_Lem_41", "value": 390626}, {"parameter": "(11, 7)", "name": "CKMP2019_Lem_41", "value": 78126}, {"parameter": "(12, 6)", "name": "CKMP2019_Lem_41", "value": 244156251}, {"parameter": "(6, 6, 6)", "name": "CKMP2019_Lem_41", "value": 244156251}, {"parameter": "(6, 12)", "name": "CKMP2019_Cor_42", "value": 244156251}, {"parameter": "(7, 11)", "name": "CKMP2019_Cor_42", "value": 48828126}, {"parameter": "(8, 10)", "name": "CKMP2019_Cor_42", "value": 9765626}, {"parameter": "(9, 9)", "name": "CKMP2019_Cor_42", "value": 1953126}, {"parameter": "(10, 8)", "name": "CKMP2019_Cor_42", "value": 390626}, {"parameter": "(11, 7)", "name": "CKMP2019_Cor_42", "value": 78126}, {"parameter": "(12, 6)", "name": "CKMP2019_Cor_42", "value": 244156251}, {"parameter": "(6, 6, 6)", "name": "CKMP2019_Cor_42", "value": 244156251}, {"parameter": "6", "name": "linkage_GLT", "value": 244156251}, {"parameter": "7", "name": "linkage_GLT", "value": 48828126}, {"parameter": "8", "name": "linkage_GLT", "value": 9765626}, {"parameter": "9", "name": "linkage_GLT", "value": 1953126}, {"parameter": "10", "name": "linkage_GLT", "value": 390626}, {"parameter": "11", "name": "linkage_GLT", "value": 78126}, {"parameter": "12", "name": "linkage_GLT", "value": 244156251}, {"parameter": "6", "name": "improved_linkage", "value": 244156251}, {"parameter": "7", "name": "improved_linkage", "value": 48828126}, {"parameter": "8", "name": "improved_linkage", "value": 9765626}, {"parameter": "9", "name": "improved_linkage", "value": 1953126}, {"parameter": "10", "name": "improved_linkage", "value": 390626}, {"parameter": "11", "name": "improved_linkage", "value": 78126}, {"parameter": "12", "name": "improved_linkage", "value": 244156251}, {"parameter": "6,0", "name": "generalized_linkage", "value": 244156251}, {"parameter": "7,0", "name": "generalized_linkage", "value": 48828126}, {"parameter": "8,0", "name": "generalized_linkage", "value": 9765626}, {"parameter": "9,0", "name": "generalized_linkage", "value": 1953126}, {"parameter": "10,0", "name": "generalized_linkage", "value": 390626}, {"parameter": "11,0", "name": "generalized_linkage", "value": 78126}, {"parameter": "12,0", "name": "generalized_linkage", "value": 244156251}, {"parameter": "[6, 12],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 244156251}, {"parameter": "[7, 11],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 48828126}, {"parameter": "[8, 10],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 9765626}, {"parameter": "[9, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1953126}, {"parameter": "[10, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 390626}, {"parameter": "[11, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 78126}, {"parameter": "[12, 6],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 244156251}, {"parameter": "[6, 6, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 244156251}, {"parameter": "", "name": "JohnsonLB", "value": 244137502}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 5}], "request": [5, 18, 12, 6], "liftedmrdsizebound": 244156251, "comments": "", "equal_bound_constraints": [{"parameter": "", "name": "spread", "value": 244156251}, {"parameter": "", "name": "partial_spread_NS", "value": 244156251}]}