{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 1089491124906108051165135239699867397777196296355089299912829976}, {"parameter": "", "name": "singleton", "value": 35303692060}, {"parameter": "1", "name": "ilp_2", "value": 31381118658}, {"parameter": "2", "name": "ilp_2", "value": 984789432702801921392}, {"parameter": "3", "name": "ilp_2", "value": 30908446825308850212443828114417}, {"parameter": "4", "name": "ilp_2", "value": 971272147153513557296356813338895972824829}, {"parameter": "5", "name": "ilp_2", "value": 30860543510703510571158523743928991141817598789555306}, {"parameter": "7", "name": "ilp_3", "value": 1822284614751523407499502801942003204332031987427203025256}, {"parameter": "8", "name": "ilp_3", "value": 3386617358537929779550224132183828555266523419070634}, {"parameter": "9", "name": "ilp_3", "value": 6363776602892547281889137386636679855284341723}, {"parameter": "10", "name": "ilp_3", "value": 11972743286041749575681462053213447854896}, {"parameter": "11", "name": "ilp_3", "value": 22528447234903618457345207797234036}, {"parameter": "", "name": "anticode", "value": 31381118658}, {"parameter": "", "name": "linear_programming_bound", "value": 31381118658}, {"parameter": "", "name": "sphere_packing", "value": 19808950975104557315214979001911859}, {"parameter": "", "name": "DrakeFreeman", "value": 31381090003}, {"parameter": "", "name": "partial_spread_5", "value": 31381118657}, {"parameter": "5", "name": "partial_spread_HKK16_T10", "value": 31381117971}, {"parameter": "6", "name": "partial_spread_HKK16_T10", "value": 31381090003}, {"parameter": "", "name": "partial_spread_NS_2_Theorem6", "value": 31381118621}, {"parameter": "", "name": "spread_bound", "value": 31381118658}, {"parameter": "", "name": "XiaFuJohnson1", "value": 31381118658}, {"parameter": "12", "name": "ilp_4", "value": 22528447234903618457345207797234036}, {"parameter": "13", "name": "ilp_4", "value": 381520514212658144766801409139}, {"parameter": "14", "name": "ilp_4", "value": 6461086260707167348444862}, {"parameter": "15", "name": "ilp_4", "value": 109419091405872376321}, {"parameter": "16", "name": "ilp_4", "value": 1853021937883220}, {"parameter": "", "name": "johnson_1", "value": 31381118658}, {"parameter": "", "name": "johnson_2", "value": 1853021937883220}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 1089491124906108051165135239699867397777196296355089299912829976}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 1822284614751523407499502801942003204332031987427203025256}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 3386617358537929779550224132183828555266523419070634}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 6363776602892547281889137386636679855284341723}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 11972743286041749575681462053213447854896}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 22528447234903618457345207797234036}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 22528447234903618457345207797234036}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 381520514212658144766801409139}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 6461086260707167348444862}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 109419091405872376321}, {"parameter": "0, 16", "name": "Ahlswede_Aydinian", "value": 1853021937883220}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 30860543510703510571158523743928991141817598789555306}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 464557331199422585349031431003286039116729053087}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 7770193424967104859736554872172673078866257}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 131408405247936767148451139602340748520}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 2225073745265601943359664850361688}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 2225074158777370320953263897891296}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 339131260356969674217890867883}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 51689985712748903204049458}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 7879449799352861713307}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 1202419192985393074}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 185305470866636}, {"parameter": "1, 16", "name": "Ahlswede_Aydinian", "value": 31381591051}, {"parameter": "2, 4", "name": "Ahlswede_Aydinian", "value": 971272147153513557296356813338895972824829}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 131590861290350658353754029742365819728}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 19808950975104557315214979001911859}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 3015055995907666665767158455889}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 3015056065075065171795648339470}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 4135249961977315119285135830}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 5672795248325326574066976}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 7781808978738743149508}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 10677032125889449219}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 14666001509147154}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 20366307960797}, {"parameter": "2, 15", "name": "Ahlswede_Aydinian", "value": 31385842953}, {"parameter": "3, 3", "name": "Ahlswede_Aydinian", "value": 30908446825308850212443828114417}, {"parameter": "3, 4", "name": "Ahlswede_Aydinian", "value": 37693227836940535590635319582}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 51067914710368315374258734}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 51067914841842183595436773}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 629604561153756205159475}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 7776977580757904233462}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 96077243001373039163}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 1186156609266811527}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 14646145811285530}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 181064513797277}, {"parameter": "3, 13", "name": "Ahlswede_Aydinian", "value": 2263233586884}, {"parameter": "3, 14", "name": "Ahlswede_Aydinian", "value": 31424165420}, {"parameter": "4, 2", "name": "Ahlswede_Aydinian", "value": 984789432702801921392}, {"parameter": "4, 3", "name": "Ahlswede_Aydinian", "value": 10821861898173999864}, {"parameter": "4, 4", "name": "Ahlswede_Aydinian", "value": 10821861901243105325}, {"parameter": "4, 5", "name": "Ahlswede_Aydinian", "value": 1187783213878920453}, {"parameter": "4, 6", "name": "Ahlswede_Aydinian", "value": 133422227089702870}, {"parameter": "4, 7", "name": "Ahlswede_Aydinian", "value": 14822463370878817}, {"parameter": "4, 8", "name": "Ahlswede_Aydinian", "value": 1647163843315442}, {"parameter": "4, 9", "name": "Ahlswede_Aydinian", "value": 183020929631529}, {"parameter": "4, 10", "name": "Ahlswede_Aydinian", "value": 20338757856236}, {"parameter": "4, 11", "name": "Ahlswede_Aydinian", "value": 2262931506565}, {"parameter": "4, 12", "name": "Ahlswede_Aydinian", "value": 254544313594}, {"parameter": "4, 13", "name": "Ahlswede_Aydinian", "value": 31773322846}, {"parameter": "5, 1", "name": "Ahlswede_Aydinian", "value": 31381118658}, {"parameter": "5, 2", "name": "Ahlswede_Aydinian", "value": 31381118659}, {"parameter": "5, 3", "name": "Ahlswede_Aydinian", "value": 31381118667}, {"parameter": "5, 4", "name": "Ahlswede_Aydinian", "value": 31381118740}, {"parameter": "5, 5", "name": "Ahlswede_Aydinian", "value": 31381119396}, {"parameter": "5, 6", "name": "Ahlswede_Aydinian", "value": 31381125300}, {"parameter": "5, 7", "name": "Ahlswede_Aydinian", "value": 31381178444}, {"parameter": "5, 8", "name": "Ahlswede_Aydinian", "value": 31381656742}, {"parameter": "5, 9", "name": "Ahlswede_Aydinian", "value": 31385962006}, {"parameter": "5, 10", "name": "Ahlswede_Aydinian", "value": 31424756754}, {"parameter": "5, 11", "name": "Ahlswede_Aydinian", "value": 31777788831}, {"parameter": "5, 12", "name": "Ahlswede_Aydinian", "value": 35303692060}, {"parameter": "0, 11, o", "name": "Ahlswede_Aydinian", "value": 1089491124906108051165135239699867397777196296355089299912829976}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 30860543510703510571158523743928991141817598789555306}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 971272147153513557296356813338895972824829}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 30908446825308850212443828114417}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 984789432702801921392}, {"parameter": "0, 16, o", "name": "Ahlswede_Aydinian", "value": 31381118658}, {"parameter": "1, 10, o", "name": "Ahlswede_Aydinian", "value": 1822284614751523407499502801942003204332031987427203025256}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 464557331199422585349031431003286039116729053087}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 131590861290350658353754029742365819728}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 37693227836940535590635319582}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 10821861898173999864}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 10942104808122674184}, {"parameter": "1, 16, o", "name": "Ahlswede_Aydinian", "value": 12157894230898730806}, {"parameter": "2, 9, o", "name": "Ahlswede_Aydinian", "value": 3386617358537929779550224132183828555266523419070634}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 7770193424967104859736554872172673078866257}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 19808950975104557315214979001911859}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 51067914710368315374258734}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 51137195861162707053963269}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 51768519265387677379102896}, {"parameter": "2, 15, o", "name": "Ahlswede_Aydinian", "value": 58159694466656739362560663}, {"parameter": "3, 8, o", "name": "Ahlswede_Aydinian", "value": 6363776602892547281889137386636679855284341723}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 131408405247936767148451139602340748520}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 3015055995907666665767158455889}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 3015512171693895969715339742129}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 3019648676644966580584597411593}, {"parameter": "3, 13, o", "name": "Ahlswede_Aydinian", "value": 3057342507073192072197197366199}, {"parameter": "3, 14, o", "name": "Ahlswede_Aydinian", "value": 3438986075798435086131635576612}, {"parameter": "4, 7, o", "name": "Ahlswede_Aydinian", "value": 11972743286041749575681462053213447854896}, {"parameter": "4, 8, o", "name": "Ahlswede_Aydinian", "value": 2225073745265601943359664850361688}, {"parameter": "4, 9, o", "name": "Ahlswede_Aydinian", "value": 2225107700248421473724936361577830}, {"parameter": "4, 10, o", "name": "Ahlswede_Aydinian", "value": 2225446841733196852896613260734127}, {"parameter": "4, 11, o", "name": "Ahlswede_Aydinian", "value": 2228503307714431607687978208790814}, {"parameter": "4, 12, o", "name": "Ahlswede_Aydinian", "value": 2256355348074160415001731558703141}, {"parameter": "4, 13, o", "name": "Ahlswede_Aydinian", "value": 2538356718865026735354255854713685}, {"parameter": "5, 6, o", "name": "Ahlswede_Aydinian", "value": 22528447234903618457345207797234036}, {"parameter": "5, 7, o", "name": "Ahlswede_Aydinian", "value": 22528489625442593923093121759460916}, {"parameter": "5, 8, o", "name": "Ahlswede_Aydinian", "value": 22528871146754446000336455739683968}, {"parameter": "5, 9, o", "name": "Ahlswede_Aydinian", "value": 22532305361987796747201627780493607}, {"parameter": "5, 10, o", "name": "Ahlswede_Aydinian", "value": 22563255754887486479900025170374797}, {"parameter": "5, 11, o", "name": "Ahlswede_Aydinian", "value": 22845291197153329436025249002580835}, {"parameter": "5, 12, o", "name": "Ahlswede_Aydinian", "value": 25700898795425967456865415317747420}, {"parameter": "", "name": "improved_johnson", "value": 31381118650}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 1350853275103683404}], "known_codes": [], "upper_bound": 31381090003, "classified": false, "lower_bound": 31381059610, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 31381059609}, {"parameter": "", "name": "sphere_covering", "value": 472394}, {"parameter": "", "name": "graham_sloane", "value": 1}, {"parameter": "", "name": "partial_spread_3", "value": 31381059610}, {"parameter": "", "name": "multicomponent", "value": 31381059610}, {"parameter": "[(0, 1, 2, 3, 4, 5), (8, 10, 11, 13, 14, 16)]", "name": "ef_computation", "value": 31381059610}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 31381059609}, {"parameter": "(6, 11)", "name": "CKMP2019_Lem_41", "value": 31381059610}, {"parameter": "(7, 10)", "name": "CKMP2019_Lem_41", "value": 3486784402}, {"parameter": "(8, 9)", "name": "CKMP2019_Lem_41", "value": 387420490}, {"parameter": "(9, 8)", "name": "CKMP2019_Lem_41", "value": 43046722}, {"parameter": "(10, 7)", "name": "CKMP2019_Lem_41", "value": 4782970}, {"parameter": "(11, 6)", "name": "CKMP2019_Lem_41", "value": 531442}, {"parameter": "(6, 11)", "name": "CKMP2019_Cor_42", "value": 31381059610}, {"parameter": "(7, 10)", "name": "CKMP2019_Cor_42", "value": 3486784402}, {"parameter": "(8, 9)", "name": "CKMP2019_Cor_42", "value": 387420490}, {"parameter": "(9, 8)", "name": "CKMP2019_Cor_42", "value": 43046722}, {"parameter": "(10, 7)", "name": "CKMP2019_Cor_42", "value": 4782970}, {"parameter": "(11, 6)", "name": "CKMP2019_Cor_42", "value": 531442}, {"parameter": "6", "name": "linkage_GLT", "value": 31381059610}, {"parameter": "7", "name": "linkage_GLT", "value": 3486784402}, {"parameter": "8", "name": "linkage_GLT", "value": 387420490}, {"parameter": "9", "name": "linkage_GLT", "value": 43046722}, {"parameter": "10", "name": "linkage_GLT", "value": 4782970}, {"parameter": "11", "name": "linkage_GLT", "value": 531442}, {"parameter": "6", "name": "improved_linkage", "value": 31381059610}, {"parameter": "7", "name": "improved_linkage", "value": 3486784402}, {"parameter": "8", "name": "improved_linkage", "value": 387420490}, {"parameter": "9", "name": "improved_linkage", "value": 43046722}, {"parameter": "10", "name": "improved_linkage", "value": 4782970}, {"parameter": "11", "name": "improved_linkage", "value": 531442}, {"parameter": "6,0", "name": "generalized_linkage", "value": 31381059610}, {"parameter": "7,0", "name": "generalized_linkage", "value": 3486784402}, {"parameter": "8,0", "name": "generalized_linkage", "value": 387420490}, {"parameter": "9,0", "name": "generalized_linkage", "value": 43046722}, {"parameter": "10,0", "name": "generalized_linkage", "value": 4782970}, {"parameter": "11,0", "name": "generalized_linkage", "value": 531442}, {"parameter": "[6, 11],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 31381059610}, {"parameter": "[7, 10],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 3486784402}, {"parameter": "[8, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 387420490}, {"parameter": "[9, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 43046722}, {"parameter": "[10, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 4782970}, {"parameter": "[11, 6],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 531442}, {"parameter": "", "name": "JohnsonLB", "value": 31381053049}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 9}], "request": [9, 17, 12, 6], "liftedmrdsizebound": 31381059610, "comments": "", "equal_bound_constraints": []}