{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 1062420886295749238054775964833257559060031974208854903203322306}, {"parameter": "", "name": "singleton", "value": 12207031}, {"parameter": "1", "name": "ilp_2", "value": 9765630}, {"parameter": "2", "name": "ilp_2", "value": 95367724610120}, {"parameter": "3", "name": "ilp_2", "value": 931337356762648998632}, {"parameter": "4", "name": "ilp_2", "value": 9095673497679490023796492468}, {"parameter": "5", "name": "ilp_2", "value": 88853369576130015849452009594531404}, {"parameter": "6", "name": "ilp_2", "value": 869099245918198412167464699356442842825866}, {"parameter": "7", "name": "ilp_2", "value": 8555743262567653630521482013420407804556258739569}, {"parameter": "8", "name": "ilp_2", "value": 87033520787794283315474169340051447322451460490995304526}, {"parameter": "10", "name": "ilp_3", "value": 435167639587905181708726842169330934330476772076768429013}, {"parameter": "11", "name": "ilp_3", "value": 213893602590788135972814442186309316817730751438299}, {"parameter": "12", "name": "ilp_3", "value": 108637416775250516524562462128803092128570184}, {"parameter": "13", "name": "ilp_3", "value": 55533361662598909111440085385062985624}, {"parameter": "14", "name": "ilp_3", "value": 28423982589932826567323099678352}, {"parameter": "15", "name": "ilp_3", "value": 14552147689460945059096725}, {"parameter": "16", "name": "ilp_3", "value": 7450604248097734499}, {"parameter": "17", "name": "ilp_3", "value": 3814699609375}, {"parameter": "", "name": "anticode", "value": 9765630}, {"parameter": "", "name": "linear_programming_bound", "value": 9765630}, {"parameter": "", "name": "sphere_packing", "value": 708749709036504896660}, {"parameter": "", "name": "DrakeFreeman", "value": 9765628}, {"parameter": "", "name": "partial_spread_5", "value": 9765629}, {"parameter": "", "name": "partial_spread_kurz16_28", "value": 9765626}, {"parameter": "", "name": "spread_bound", "value": 9765630}, {"parameter": "", "name": "XiaFuJohnson1", "value": 9765630}, {"parameter": "18", "name": "ilp_4", "value": 3814699609375}, {"parameter": "", "name": "johnson_1", "value": 9765630}, {"parameter": "", "name": "johnson_2", "value": 3814699609375}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 1062420886295749238054775964833257559060031974208854903203322306}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 435167639587905181708726842169330934330476772076768429013}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 213893602590788135972814442186309316817730751438299}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 108637416775250516524562462128803092128570184}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 55533361662598909111440085385062985624}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 28423982589932826567323099678352}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 14552147689460945059096725}, {"parameter": "0, 16", "name": "Ahlswede_Aydinian", "value": 7450604248097734499}, {"parameter": "0, 17", "name": "Ahlswede_Aydinian", "value": 3814699609375}, {"parameter": "0, 18", "name": "Ahlswede_Aydinian", "value": 3814699609375}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 87033520787794283315474169340051447322451460490995304526}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 178244756436491353400609209695407583965688952443795}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 438054537701876986480168121787322861053412940}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 1112450560662860231781152003245728351068}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 2843345965324265031554791797993345}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 7277008995042943639017421227}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 18632721037321618828902}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 47760307937867033}, {"parameter": "1, 16", "name": "Ahlswede_Aydinian", "value": 48068438320679253}, {"parameter": "1, 17", "name": "Ahlswede_Aydinian", "value": 635783539496}, {"parameter": "1, 18", "name": "Ahlswede_Aydinian", "value": 9765626}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 8555743262567653630521482013420407804556258739569}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 87611043905371026070805504620762539935765716}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 1076565587858619263023554765806087337385}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 13669834202825149495130550497449408}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 174696069813842590599135038314}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 2235531497671738661586293}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 28621764474785130932}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 28665797506850225926}, {"parameter": "2, 15", "name": "Ahlswede_Aydinian", "value": 1848790669474895}, {"parameter": "2, 16", "name": "Ahlswede_Aydinian", "value": 123055141129}, {"parameter": "2, 17", "name": "Ahlswede_Aydinian", "value": 9765684}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 869099245918198412167464699356442842825866}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 44498455491141464493680701607842971185}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 2733993492930657997011230152394038}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 173576308527972677077513727303}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 11091251492605369194081116}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 709658013713226886740}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 709883348121541848494}, {"parameter": "3, 13", "name": "Ahlswede_Aydinian", "value": 227509222832993796}, {"parameter": "3, 14", "name": "Ahlswede_Aydinian", "value": 73385156955360}, {"parameter": "3, 15", "name": "Ahlswede_Aydinian", "value": 24454277273}, {"parameter": "3, 16", "name": "Ahlswede_Aydinian", "value": 9765941}, {"parameter": "4, 5", "name": "Ahlswede_Aydinian", "value": 88853369576130015849452009594531404}, {"parameter": "4, 6", "name": "Ahlswede_Aydinian", "value": 22747920803336557672616302131027}, {"parameter": "4, 7", "name": "Ahlswede_Aydinian", "value": 6988254291741076414259828275}, {"parameter": "4, 8", "name": "Ahlswede_Aydinian", "value": 2218362789835275468072190}, {"parameter": "4, 9", "name": "Ahlswede_Aydinian", "value": 708749709036504896660}, {"parameter": "4, 10", "name": "Ahlswede_Aydinian", "value": 708794987744543669368}, {"parameter": "4, 11", "name": "Ahlswede_Aydinian", "value": 1134071441659914637}, {"parameter": "4, 12", "name": "Ahlswede_Aydinian", "value": 1817440051652843}, {"parameter": "4, 13", "name": "Ahlswede_Aydinian", "value": 2931513943832}, {"parameter": "4, 14", "name": "Ahlswede_Aydinian", "value": 4885523939}, {"parameter": "4, 15", "name": "Ahlswede_Aydinian", "value": 9768751}, {"parameter": "5, 4", "name": "Ahlswede_Aydinian", "value": 9095673497679490023796492468}, {"parameter": "5, 5", "name": "Ahlswede_Aydinian", "value": 11646190048125884943522036}, {"parameter": "5, 6", "name": "Ahlswede_Aydinian", "value": 17889701999136212390375}, {"parameter": "5, 7", "name": "Ahlswede_Aydinian", "value": 28394971042549464554}, {"parameter": "5, 8", "name": "Ahlswede_Aydinian", "value": 28395333921287524653}, {"parameter": "5, 9", "name": "Ahlswede_Aydinian", "value": 226814377495243812}, {"parameter": "5, 10", "name": "Ahlswede_Aydinian", "value": 1815675669758845}, {"parameter": "5, 11", "name": "Ahlswede_Aydinian", "value": 14550507006810}, {"parameter": "5, 12", "name": "Ahlswede_Aydinian", "value": 117429826179}, {"parameter": "5, 13", "name": "Ahlswede_Aydinian", "value": 978514250}, {"parameter": "5, 14", "name": "Ahlswede_Aydinian", "value": 9781261}, {"parameter": "6, 3", "name": "Ahlswede_Aydinian", "value": 931337356762648998632}, {"parameter": "6, 4", "name": "Ahlswede_Aydinian", "value": 5970111868680769817}, {"parameter": "6, 5", "name": "Ahlswede_Aydinian", "value": 45865159325923190}, {"parameter": "6, 6", "name": "Ahlswede_Aydinian", "value": 45865275980902017}, {"parameter": "6, 7", "name": "Ahlswede_Aydinian", "value": 1820092418080048}, {"parameter": "6, 8", "name": "Ahlswede_Aydinian", "value": 72971246450797}, {"parameter": "6, 9", "name": "Ahlswede_Aydinian", "value": 2930943637543}, {"parameter": "6, 10", "name": "Ahlswede_Aydinian", "value": 117416952921}, {"parameter": "6, 11", "name": "Ahlswede_Aydinian", "value": 4734391176}, {"parameter": "6, 12", "name": "Ahlswede_Aydinian", "value": 197218711}, {"parameter": "6, 13", "name": "Ahlswede_Aydinian", "value": 9844376}, {"parameter": "7, 2", "name": "Ahlswede_Aydinian", "value": 95367724610120}, {"parameter": "7, 3", "name": "Ahlswede_Aydinian", "value": 3076378518084}, {"parameter": "7, 4", "name": "Ahlswede_Aydinian", "value": 3076380042362}, {"parameter": "7, 5", "name": "Ahlswede_Aydinian", "value": 591764513674}, {"parameter": "7, 6", "name": "Ahlswede_Aydinian", "value": 122111650331}, {"parameter": "7, 7", "name": "Ahlswede_Aydinian", "value": 24386334929}, {"parameter": "7, 8", "name": "Ahlswede_Aydinian", "value": 4884780613}, {"parameter": "7, 9", "name": "Ahlswede_Aydinian", "value": 978411022}, {"parameter": "7, 10", "name": "Ahlswede_Aydinian", "value": 197218578}, {"parameter": "7, 11", "name": "Ahlswede_Aydinian", "value": 41031501}, {"parameter": "7, 12", "name": "Ahlswede_Aydinian", "value": 10172526}, {"parameter": "8, 1", "name": "Ahlswede_Aydinian", "value": 9765630}, {"parameter": "8, 2", "name": "Ahlswede_Aydinian", "value": 9765630}, {"parameter": "8, 3", "name": "Ahlswede_Aydinian", "value": 9765634}, {"parameter": "8, 4", "name": "Ahlswede_Aydinian", "value": 9765655}, {"parameter": "8, 5", "name": "Ahlswede_Aydinian", "value": 9765760}, {"parameter": "8, 6", "name": "Ahlswede_Aydinian", "value": 9766280}, {"parameter": "8, 7", "name": "Ahlswede_Aydinian", "value": 9768885}, {"parameter": "8, 8", "name": "Ahlswede_Aydinian", "value": 9781927}, {"parameter": "8, 9", "name": "Ahlswede_Aydinian", "value": 9847560}, {"parameter": "8, 10", "name": "Ahlswede_Aydinian", "value": 10186655}, {"parameter": "8, 11", "name": "Ahlswede_Aydinian", "value": 12207031}, {"parameter": "0, 10, o", "name": "Ahlswede_Aydinian", "value": 1062420886295749238054775964833257559060031974208854903203322306}, {"parameter": "0, 11, o", "name": "Ahlswede_Aydinian", "value": 87033520787794283315474169340051447322451460490995304526}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 8555743262567653630521482013420407804556258739569}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 869099245918198412167464699356442842825866}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 88853369576130015849452009594531404}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 9095673497679490023796492468}, {"parameter": "0, 16, o", "name": "Ahlswede_Aydinian", "value": 931337356762648998632}, {"parameter": "0, 17, o", "name": "Ahlswede_Aydinian", "value": 95367724610120}, {"parameter": "0, 18, o", "name": "Ahlswede_Aydinian", "value": 9765630}, {"parameter": "1, 9, o", "name": "Ahlswede_Aydinian", "value": 435167639587905181708726842169330934330476772076768429013}, {"parameter": "1, 10, o", "name": "Ahlswede_Aydinian", "value": 178244756436491353400609209695407583965688952443795}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 87611043905371026070805504620762539935765716}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 44498455491141464493680701607842971185}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 22747920803336557672616302131027}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 11646190048125884943522036}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 5970111868680769817}, {"parameter": "1, 16, o", "name": "Ahlswede_Aydinian", "value": 3076378518084}, {"parameter": "1, 17, o", "name": "Ahlswede_Aydinian", "value": 3178917914497}, {"parameter": "1, 18, o", "name": "Ahlswede_Aydinian", "value": 3814701171876}, {"parameter": "2, 8, o", "name": "Ahlswede_Aydinian", "value": 213893602590788135972814442186309316817730751438299}, {"parameter": "2, 9, o", "name": "Ahlswede_Aydinian", "value": 438054537701876986480168121787322861053412940}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 1076565587858619263023554765806087337385}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 2733993492930657997011230152394038}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 6988254291741076414259828275}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 17889701999136212390375}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 45865159325923190}, {"parameter": "2, 15, o", "name": "Ahlswede_Aydinian", "value": 46219770401067427}, {"parameter": "2, 16, o", "name": "Ahlswede_Aydinian", "value": 48068557247576092}, {"parameter": "2, 17, o", "name": "Ahlswede_Aydinian", "value": 3814708984376}, {"parameter": "3, 7, o", "name": "Ahlswede_Aydinian", "value": 108637416775250516524562462128803092128570184}, {"parameter": "3, 8, o", "name": "Ahlswede_Aydinian", "value": 1112450560662860231781152003245728351068}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 13669834202825149495130550497449408}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 173576308527972677077513727303}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 2218362789835275468072190}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 28394971042549464554}, {"parameter": "3, 13, o", "name": "Ahlswede_Aydinian", "value": 28438655168920246318}, {"parameter": "3, 14, o", "name": "Ahlswede_Aydinian", "value": 28666162058170516159}, {"parameter": "3, 15, o", "name": "Ahlswede_Aydinian", "value": 9552301099461629}, {"parameter": "3, 16, o", "name": "Ahlswede_Aydinian", "value": 3814865236486}, {"parameter": "4, 6, o", "name": "Ahlswede_Aydinian", "value": 55533361662598909111440085385062985624}, {"parameter": "4, 7, o", "name": "Ahlswede_Aydinian", "value": 2843345965324265031554791797993345}, {"parameter": "4, 8, o", "name": "Ahlswede_Aydinian", "value": 174696069813842590599135038314}, {"parameter": "4, 9, o", "name": "Ahlswede_Aydinian", "value": 11091251492605369194081116}, {"parameter": "4, 10, o", "name": "Ahlswede_Aydinian", "value": 708749709036504896660}, {"parameter": "4, 11, o", "name": "Ahlswede_Aydinian", "value": 708794709032010958838}, {"parameter": "4, 12, o", "name": "Ahlswede_Aydinian", "value": 709928722389747126717}, {"parameter": "4, 13, o", "name": "Ahlswede_Aydinian", "value": 1145045852510472198}, {"parameter": "4, 14, o", "name": "Ahlswede_Aydinian", "value": 1908415413631687}, {"parameter": "4, 15, o", "name": "Ahlswede_Aydinian", "value": 3815584040989}, {"parameter": "5, 5, o", "name": "Ahlswede_Aydinian", "value": 28423982589932826567323099678352}, {"parameter": "5, 6, o", "name": "Ahlswede_Aydinian", "value": 7277008995042943639017421227}, {"parameter": "5, 7, o", "name": "Ahlswede_Aydinian", "value": 2235531497671738661586293}, {"parameter": "5, 8, o", "name": "Ahlswede_Aydinian", "value": 709658013713226886740}, {"parameter": "5, 9, o", "name": "Ahlswede_Aydinian", "value": 708794987744543669368}, {"parameter": "5, 10, o", "name": "Ahlswede_Aydinian", "value": 709021744050132156535}, {"parameter": "5, 11, o", "name": "Ahlswede_Aydinian", "value": 5683076156273226481}, {"parameter": "5, 12, o", "name": "Ahlswede_Aydinian", "value": 45836912497893915}, {"parameter": "5, 13, o", "name": "Ahlswede_Aydinian", "value": 382253492726873}, {"parameter": "5, 14, o", "name": "Ahlswede_Aydinian", "value": 3822025781991}, {"parameter": "6, 4, o", "name": "Ahlswede_Aydinian", "value": 14552147689460945059096725}, {"parameter": "6, 5, o", "name": "Ahlswede_Aydinian", "value": 18632721037321618828902}, {"parameter": "6, 6, o", "name": "Ahlswede_Aydinian", "value": 28621764474785130932}, {"parameter": "6, 7, o", "name": "Ahlswede_Aydinian", "value": 28438946366573991882}, {"parameter": "6, 8, o", "name": "Ahlswede_Aydinian", "value": 28440764128498701418}, {"parameter": "6, 9, o", "name": "Ahlswede_Aydinian", "value": 1140539849809088080}, {"parameter": "6, 10, o", "name": "Ahlswede_Aydinian", "value": 45869379761543461}, {"parameter": "6, 11, o", "name": "Ahlswede_Aydinian", "value": 1849434300399971}, {"parameter": "6, 12, o", "name": "Ahlswede_Aydinian", "value": 77056791425176}, {"parameter": "6, 13, o", "name": "Ahlswede_Aydinian", "value": 3851623532001}, {"parameter": "7, 3, o", "name": "Ahlswede_Aydinian", "value": 7450604248097734499}, {"parameter": "7, 4, o", "name": "Ahlswede_Aydinian", "value": 47760307937867033}, {"parameter": "7, 5, o", "name": "Ahlswede_Aydinian", "value": 46231606454485426}, {"parameter": "7, 6, o", "name": "Ahlswede_Aydinian", "value": 46232194425627953}, {"parameter": "7, 7, o", "name": "Ahlswede_Aydinian", "value": 9540583302942015}, {"parameter": "7, 8, o", "name": "Ahlswede_Aydinian", "value": 1905791692096005}, {"parameter": "7, 9, o", "name": "Ahlswede_Aydinian", "value": 382235079034178}, {"parameter": "7, 10, o", "name": "Ahlswede_Aydinian", "value": 77054791624833}, {"parameter": "7, 11, o", "name": "Ahlswede_Aydinian", "value": 16049541422021}, {"parameter": "7, 12, o", "name": "Ahlswede_Aydinian", "value": 4005680190876}, {"parameter": "8, 2, o", "name": "Ahlswede_Aydinian", "value": 3814699609375}, {"parameter": "8, 3, o", "name": "Ahlswede_Aydinian", "value": 3814701499493}, {"parameter": "8, 4, o", "name": "Ahlswede_Aydinian", "value": 3814710950107}, {"parameter": "8, 5, o", "name": "Ahlswede_Aydinian", "value": 3814758203762}, {"parameter": "8, 6, o", "name": "Ahlswede_Aydinian", "value": 3814994486589}, {"parameter": "8, 7, o", "name": "Ahlswede_Aydinian", "value": 3816176264742}, {"parameter": "8, 8, o", "name": "Ahlswede_Aydinian", "value": 3822094269880}, {"parameter": "8, 9, o", "name": "Ahlswede_Aydinian", "value": 3851913919299}, {"parameter": "8, 10, o", "name": "Ahlswede_Aydinian", "value": 4006982120967}, {"parameter": "8, 11, o", "name": "Ahlswede_Aydinian", "value": 4967053120931}, {"parameter": "", "name": "improved_johnson", "value": 9765626}], "known_codes": [], "upper_bound": 9765626, "classified": false, "lower_bound": 9765626, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 9765625}, {"parameter": "", "name": "sphere_covering", "value": 21}, {"parameter": "", "name": "graham_sloane", "value": 1}, {"parameter": "", "name": "partial_spread_3", "value": 9765626}, {"parameter": "", "name": "multicomponent", "value": 9765626}, {"parameter": "[(0, 1, 2, 3, 4, 5, 6, 7, 8), (10, 11, 12, 13, 14, 15, 16, 17, 18)]", "name": "ef_computation", "value": 9765626}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 9765625}, {"parameter": "(9, 10)", "name": "CKMP2019_Lem_41", "value": 9765626}, {"parameter": "(10, 9)", "name": "CKMP2019_Lem_41", "value": 1953126}, {"parameter": "(9, 10)", "name": "CKMP2019_Cor_42", "value": 9765626}, {"parameter": "(10, 9)", "name": "CKMP2019_Cor_42", "value": 1953126}, {"parameter": "9", "name": "linkage_GLT", "value": 9765626}, {"parameter": "10", "name": "linkage_GLT", "value": 1953126}, {"parameter": "9", "name": "improved_linkage", "value": 9765626}, {"parameter": "10", "name": "improved_linkage", "value": 1953126}, {"parameter": "9,0", "name": "generalized_linkage", "value": 9765626}, {"parameter": "10,0", "name": "generalized_linkage", "value": 1953126}, {"parameter": "[9, 10],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 9765626}, {"parameter": "[10, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1953126}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 5}], "request": [5, 19, 18, 9], "liftedmrdsizebound": 9765626, "comments": "", "equal_bound_constraints": [{"parameter": "", "name": "partial_spread_2", "value": 9765626}, {"parameter": "", "name": "partial_spread_NS", "value": 9765626}]}