{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 16256896431763117598611}, {"parameter": "", "name": "singleton", "value": 31627961868755063955}, {"parameter": "7", "name": "ilp_2", "value": 15891394361449772823}, {"parameter": "9", "name": "ilp_3", "value": 31813887342002187081}, {"parameter": "", "name": "anticode", "value": 15891394361449772823}, {"parameter": "", "name": "linear_programming_bound", "value": 15891394361449772823}, {"parameter": "", "name": "sphere_packing", "value": 16256896431763117598611}, {"parameter": "1", "name": "ilp_1", "value": 15860341319094096781}, {"parameter": "2", "name": "ilp_1", "value": 15860341319094097218}, {"parameter": "3", "name": "ilp_1", "value": 15860341319094686637}, {"parameter": "4", "name": "ilp_1", "value": 15860341319219289633}, {"parameter": "5", "name": "ilp_1", "value": 15860341319219289633}, {"parameter": "6", "name": "ilp_1", "value": 15860341319219289633}, {"parameter": "10", "name": "ilp_4", "value": 31813887342002187081}, {"parameter": "11", "name": "ilp_4", "value": 31813522727024921133}, {"parameter": "12", "name": "ilp_4", "value": 31813522727024921133}, {"parameter": "13", "name": "ilp_4", "value": 31813522720176598354}, {"parameter": "14", "name": "ilp_4", "value": 31813522720098847757}, {"parameter": "15", "name": "ilp_4", "value": 31813522720098812461}, {"parameter": "16", "name": "ilp_4", "value": 31813522720166842157}, {"parameter": "", "name": "johnson_1", "value": 15860341319094096781}, {"parameter": "", "name": "johnson_2", "value": 31813522720166842157}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 16256896431763117598611}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 31813887342002187081}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 31813887342002187081}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 31813522727024921133}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 31813522727024921133}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 31813522720176598354}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 31813522720098847757}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 31813522720098812461}, {"parameter": "0, 16", "name": "Ahlswede_Aydinian", "value": 31813522720166842157}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 15891394361449772823}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 15906882633885733862}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 15937949927911615735}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 16000450003665158759}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 16126932330044523497}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 16385992347947535634}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 16929910154247865082}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 18133778012482535476}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 21140307453528111311}, {"parameter": "1, 16", "name": "Ahlswede_Aydinian", "value": 31627961868755063955}, {"parameter": "0, 9, o", "name": "Ahlswede_Aydinian", "value": 16256896431763117598611}, {"parameter": "0, 10, o", "name": "Ahlswede_Aydinian", "value": 15891394361449772823}, {"parameter": "0, 11, o", "name": "Ahlswede_Aydinian", "value": 15860341319219289633}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 15860341319219289633}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 15860341319219289633}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 15860341319094686637}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 15860341319094097218}, {"parameter": "0, 16, o", "name": "Ahlswede_Aydinian", "value": 15860341319094095753}, {"parameter": "1, 8, o", "name": "Ahlswede_Aydinian", "value": 31813887342002187081}, {"parameter": "1, 9, o", "name": "Ahlswede_Aydinian", "value": 31876145199669058838}, {"parameter": "1, 10, o", "name": "Ahlswede_Aydinian", "value": 32001394796549006294}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 32254870206797694797}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 32774061240263987173}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 33864254259413369530}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 36277731773873004148}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 42308285043778504274}, {"parameter": "1, 16, o", "name": "Ahlswede_Aydinian", "value": 63379954960524853651}, {"parameter": "", "name": "improved_johnson", "value": 15860341319094096779}], "known_codes": [], "upper_bound": 15860341319094095753, "classified": false, "lower_bound": 10430369795198299881, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 9223372036854775808}, {"parameter": "", "name": "sphere_covering", "value": 62379931897591114}, {"parameter": "", "name": "graham_sloane", "value": 124031223014725741}, {"parameter": "", "name": "multicomponent", "value": 9223653516126519297}, {"parameter": "q^63 + q^59 + q^57 + 8*q^55 + 2*q^53 + 9*q^51 + 9*q^49 + 13*q^48 + 40*q^47 + 4*q^46 + 9*q^45 + 4*q^44 + 22*q^43 + q^42 + 19*q^41 + 17*q^40 + 63*q^39 + 5*q^38 + 22*q^37 + 18*q^36 + 63*q^35 + 18*q^34 + 62*q^33 + 111*q^32 + 136*q^31 + 43*q^30 + 27*q^29 + 44*q^28 + 37*q^27 + 13*q^26 + 24*q^25 + 44*q^24 + 42*q^23 + 10*q^22 + 20*q^21 + 13*q^20 + 29*q^19 + 6*q^18 + 29*q^17 + 40*q^16 + 40*q^15 + 9*q^14 + 9*q^12 + 2*q^10 + 8*q^8 + q^6 + q^4 + 1", "name": "greedy_multicomponent", "value": 10285785187556581457}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 9564613568111280128}, {"parameter": "", "name": "two_pivot_block_construction", "value": 9838254123479203840}, {"parameter": "", "name": "ChenHeWengXu2019_T31", "value": 81605775999598591}, {"parameter": "(9,),(6,),(5,)", "name": "CKMP2019_Cor_45", "value": 9232920218833223680}, {"parameter": "(9,),(5,),(4,)", "name": "CKMP2019_Cor_45", "value": 9232920219890188288}, {"parameter": "(9,),(4,),(3,)", "name": "CKMP2019_Cor_45", "value": 9232920220963930112}, {"parameter": "(9,),(3,),(2,)", "name": "CKMP2019_Cor_45", "value": 9232920218950664192}, {"parameter": "(9,),(2,),(1,)", "name": "CKMP2019_Cor_45", "value": 9232920218816970752}, {"parameter": "(8,),(6,),(5,)", "name": "CKMP2019_Cor_45", "value": 413299125294956544}, {"parameter": "(8,),(5,),(4,)", "name": "CKMP2019_Cor_45", "value": 413299125428649984}, {"parameter": "(8,),(4,),(3,)", "name": "CKMP2019_Cor_45", "value": 413299127441915904}, {"parameter": "(8,),(3,),(2,)", "name": "CKMP2019_Cor_45", "value": 413299126368174080}, {"parameter": "(8,),(2,),(1,)", "name": "CKMP2019_Cor_45", "value": 413299125311209472}, {"parameter": "(8, 9)", "name": "CKMP2019_Lem_41", "value": 9232920218816446464}, {"parameter": "(9, 8)", "name": "CKMP2019_Lem_41", "value": 413299125294432256}, {"parameter": "(8, 9)", "name": "CKMP2019_Cor_42", "value": 9232920218816446464}, {"parameter": "(9, 8)", "name": "CKMP2019_Cor_42", "value": 413299125294432256}, {"parameter": "8", "name": "linkage_GLT", "value": 9223372036854775809}, {"parameter": "9", "name": "linkage_GLT", "value": 72057594037927937}, {"parameter": "8", "name": "improved_linkage", "value": 9223689569059572463}, {"parameter": "9", "name": "improved_linkage", "value": 72058824745347266}, {"parameter": "10", "name": "improved_linkage", "value": 95982971855158765}, {"parameter": "11", "name": "improved_linkage", "value": 107230971030158973}, {"parameter": "12", "name": "improved_linkage", "value": 84511199605128438}, {"parameter": "13", "name": "improved_linkage", "value": 80477370296828245}, {"parameter": "14", "name": "improved_linkage", "value": 80655641433210881}, {"parameter": "15", "name": "improved_linkage", "value": 81288244427943681}, {"parameter": "8,0", "name": "generalized_linkage", "value": 9232920218816446464}, {"parameter": "8,1", "name": "generalized_linkage", "value": 9226887213760451584}, {"parameter": "8,2", "name": "generalized_linkage", "value": 9224384623497253504}, {"parameter": "8,3", "name": "generalized_linkage", "value": 9223567245950210280}, {"parameter": "8,4", "name": "generalized_linkage", "value": 9223414853315341702}, {"parameter": "8,5", "name": "generalized_linkage", "value": 9223380651806711118}, {"parameter": "8,6", "name": "generalized_linkage", "value": 9223689569059572463}, {"parameter": "9,0", "name": "generalized_linkage", "value": 413299125294432256}, {"parameter": "9,1", "name": "generalized_linkage", "value": 72429465999905792}, {"parameter": "9,2", "name": "generalized_linkage", "value": 72121534823727552}, {"parameter": "9,3", "name": "generalized_linkage", "value": 72066283336916592}, {"parameter": "9,4", "name": "generalized_linkage", "value": 72058371783006158}, {"parameter": "9,5", "name": "generalized_linkage", "value": 72057665990303971}, {"parameter": "9,6", "name": "generalized_linkage", "value": 72058824745347266}, {"parameter": "10,1", "name": "generalized_linkage", "value": 102289195833742336}, {"parameter": "10,2", "name": "generalized_linkage", "value": 95986148106793152}, {"parameter": "10,3", "name": "generalized_linkage", "value": 95983224046619272}, {"parameter": "10,4", "name": "generalized_linkage", "value": 95982983248234852}, {"parameter": "10,5", "name": "generalized_linkage", "value": 95982967668314403}, {"parameter": "10,6", "name": "generalized_linkage", "value": 95982971855158765}, {"parameter": "11,2", "name": "generalized_linkage", "value": 107257162970282176}, {"parameter": "11,3", "name": "generalized_linkage", "value": 107230977206866152}, {"parameter": "11,4", "name": "generalized_linkage", "value": 107230971242391502}, {"parameter": "11,5", "name": "generalized_linkage", "value": 107230971016626314}, {"parameter": "11,6", "name": "generalized_linkage", "value": 107230971030158973}, {"parameter": "12,3", "name": "generalized_linkage", "value": 84511224731526888}, {"parameter": "12,4", "name": "generalized_linkage", "value": 84511199607783638}, {"parameter": "12,5", "name": "generalized_linkage", "value": 84511199605074219}, {"parameter": "12,6", "name": "generalized_linkage", "value": 84511199605128438}, {"parameter": "13,4", "name": "generalized_linkage", "value": 80477370302344150}, {"parameter": "13,5", "name": "generalized_linkage", "value": 80477370296828159}, {"parameter": "13,6", "name": "generalized_linkage", "value": 80477370296828245}, {"parameter": "14,5", "name": "generalized_linkage", "value": 80655641433211135}, {"parameter": "14,6", "name": "generalized_linkage", "value": 80655641433210881}, {"parameter": "15,6", "name": "generalized_linkage", "value": 81288244427943681}, {"parameter": "[8, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 9232920218816446464}, {"parameter": "[8, 9],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 9226887213760451584}, {"parameter": "[8, 9],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 9224384623497253504}, {"parameter": "[8, 9],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 9223567245950210280}, {"parameter": "[8, 9],[0, 4]", "name": "generalized_linkage_multipleblocks", "value": 9223414853315341702}, {"parameter": "[8, 9],[0, 5]", "name": "generalized_linkage_multipleblocks", "value": 9223380651806711118}, {"parameter": "[8, 9],[0, 6]", "name": "generalized_linkage_multipleblocks", "value": 9223689569059572463}, {"parameter": "[9, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 413299125294432256}, {"parameter": "[9, 8],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 72429465999905792}, {"parameter": "[9, 8],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 72121534823727552}, {"parameter": "[9, 8],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 72066283336916592}, {"parameter": "[9, 8],[0, 4]", "name": "generalized_linkage_multipleblocks", "value": 72058371783006158}, {"parameter": "[9, 8],[0, 5]", "name": "generalized_linkage_multipleblocks", "value": 72057665990303971}, {"parameter": "[9, 8],[0, 6]", "name": "generalized_linkage_multipleblocks", "value": 72058824745347266}, {"parameter": "[10, 7],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 102289195833742336}, {"parameter": "[10, 7],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 95986148106793152}, {"parameter": "[10, 7],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 95983224046619272}, {"parameter": "[10, 7],[0, 4]", "name": "generalized_linkage_multipleblocks", "value": 95982983248234852}, {"parameter": "[10, 7],[0, 5]", "name": "generalized_linkage_multipleblocks", "value": 95982967668314403}, {"parameter": "[10, 7],[0, 6]", "name": "generalized_linkage_multipleblocks", "value": 95982971855158765}, {"parameter": "[11, 6],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 107257162970282176}, {"parameter": "[11, 6],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 107230977206866152}, {"parameter": "[11, 6],[0, 4]", "name": "generalized_linkage_multipleblocks", "value": 107230971242391502}, {"parameter": "[11, 6],[0, 5]", "name": "generalized_linkage_multipleblocks", "value": 107230971016626314}, {"parameter": "[11, 6],[0, 6]", "name": "generalized_linkage_multipleblocks", "value": 107230971030158973}, {"parameter": "[12, 5],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 84511224731526888}, {"parameter": "[12, 5],[0, 4]", "name": "generalized_linkage_multipleblocks", "value": 84511199607783638}, {"parameter": "[12, 5],[0, 5]", "name": "generalized_linkage_multipleblocks", "value": 84511199605074219}, {"parameter": "[12, 5],[0, 6]", "name": "generalized_linkage_multipleblocks", "value": 84511199605128438}, {"parameter": "[13, 4],[0, 4]", "name": "generalized_linkage_multipleblocks", "value": 80477370302344150}, {"parameter": "[13, 4],[0, 5]", "name": "generalized_linkage_multipleblocks", "value": 80477370296828159}, {"parameter": "[13, 4],[0, 6]", "name": "generalized_linkage_multipleblocks", "value": 80477370296828245}, {"parameter": "[14, 3],[0, 5]", "name": "generalized_linkage_multipleblocks", "value": 80655641433211135}, {"parameter": "[14, 3],[0, 6]", "name": "generalized_linkage_multipleblocks", "value": 80655641433210881}, {"parameter": "[15, 2],[0, 6]", "name": "generalized_linkage_multipleblocks", "value": 81288244427943681}, {"parameter": "[8, 2, 7],[0, 6, 1]", "name": "generalized_linkage_multipleblocks", "value": 81887250976309248}, {"parameter": "[8, 2, 7],[0, 6, 2]", "name": "generalized_linkage_multipleblocks", "value": 81887250976309248}, {"parameter": "[8, 3, 6],[0, 5, 2]", "name": "generalized_linkage_multipleblocks", "value": 81613472580993024}, {"parameter": "[8, 3, 6],[0, 5, 3]", "name": "generalized_linkage_multipleblocks", "value": 81613472580993024}, {"parameter": "[8, 3, 6],[0, 6, 2]", "name": "generalized_linkage_multipleblocks", "value": 81606875511226368}, {"parameter": "[8, 3, 6],[0, 6, 3]", "name": "generalized_linkage_multipleblocks", "value": 81606875511226368}, {"parameter": "[8, 4, 5],[0, 4, 3]", "name": "generalized_linkage_multipleblocks", "value": 81644112877682688}, {"parameter": "[8, 4, 5],[0, 4, 4]", "name": "generalized_linkage_multipleblocks", "value": 81644112877682688}, {"parameter": "[8, 4, 5],[0, 5, 3]", "name": "generalized_linkage_multipleblocks", "value": 81605806064369664}, {"parameter": "[8, 4, 5],[0, 5, 4]", "name": "generalized_linkage_multipleblocks", "value": 81605806064369664}, {"parameter": "[8, 4, 5],[0, 6, 3]", "name": "generalized_linkage_multipleblocks", "value": 81607240583446528}, {"parameter": "[8, 4, 5],[0, 6, 4]", "name": "generalized_linkage_multipleblocks", "value": 81607240583446528}, {"parameter": "[8, 5, 4],[0, 3, 4]", "name": "generalized_linkage_multipleblocks", "value": 81772219001438208}, {"parameter": "[8, 5, 4],[0, 3, 5]", "name": "generalized_linkage_multipleblocks", "value": 81772219001438208}, {"parameter": "[8, 5, 4],[0, 4, 4]", "name": "generalized_linkage_multipleblocks", "value": 81605925753028608}, {"parameter": "[8, 5, 4],[0, 4, 5]", "name": "generalized_linkage_multipleblocks", "value": 81605925753028608}, {"parameter": "[8, 5, 4],[0, 5, 4]", "name": "generalized_linkage_multipleblocks", "value": 81605816046813184}, {"parameter": "[8, 5, 4],[0, 5, 5]", "name": "generalized_linkage_multipleblocks", "value": 81605816046813184}, {"parameter": "[8, 5, 4],[0, 6, 4]", "name": "generalized_linkage_multipleblocks", "value": 81607412214366208}, {"parameter": "[8, 5, 4],[0, 6, 5]", "name": "generalized_linkage_multipleblocks", "value": 81607412214366208}, {"parameter": "[8, 6, 3],[0, 2, 5]", "name": "generalized_linkage_multipleblocks", "value": 82286218939957248}, {"parameter": "[8, 6, 3],[0, 2, 6]", "name": "generalized_linkage_multipleblocks", "value": 82286218939957248}, {"parameter": "[8, 6, 3],[0, 3, 5]", "name": "generalized_linkage_multipleblocks", "value": 81606426167574528}, {"parameter": "[8, 6, 3],[0, 3, 6]", "name": "generalized_linkage_multipleblocks", "value": 81606426167574528}, {"parameter": "[8, 6, 3],[0, 4, 5]", "name": "generalized_linkage_multipleblocks", "value": 81605975475847168}, {"parameter": "[8, 6, 3],[0, 4, 6]", "name": "generalized_linkage_multipleblocks", "value": 81605975475847168}, {"parameter": "[8, 6, 3],[0, 5, 5]", "name": "generalized_linkage_multipleblocks", "value": 81605820739846144}, {"parameter": "[8, 6, 3],[0, 5, 6]", "name": "generalized_linkage_multipleblocks", "value": 81605820739846144}, {"parameter": "[8, 6, 3],[0, 6, 5]", "name": "generalized_linkage_multipleblocks", "value": 81607065538166784}, {"parameter": "[8, 6, 3],[0, 6, 6]", "name": "generalized_linkage_multipleblocks", "value": 81607065538166784}, {"parameter": "[8, 7, 2],[0, 1, 6]", "name": "generalized_linkage_multipleblocks", "value": 84244735788023808}, {"parameter": "[8, 7, 2],[0, 2, 6]", "name": "generalized_linkage_multipleblocks", "value": 81608433979834368}, {"parameter": "[8, 7, 2],[0, 3, 6]", "name": "generalized_linkage_multipleblocks", "value": 81606642043660288}, {"parameter": "[8, 7, 2],[0, 4, 6]", "name": "generalized_linkage_multipleblocks", "value": 81605998851970048}, {"parameter": "[8, 7, 2],[0, 5, 6]", "name": "generalized_linkage_multipleblocks", "value": 81605811260418816}, {"parameter": "[8, 7, 2],[0, 6, 6]", "name": "generalized_linkage_multipleblocks", "value": 81607003986816256}, {"parameter": "[9, 2, 6],[0, 6, 2]", "name": "generalized_linkage_multipleblocks", "value": 341524105744842752}, {"parameter": "[9, 3, 5],[0, 5, 3]", "name": "generalized_linkage_multipleblocks", "value": 341523070657724416}, {"parameter": "[9, 3, 5],[0, 6, 3]", "name": "generalized_linkage_multipleblocks", "value": 341523010528182272}, {"parameter": "[9, 4, 4],[0, 4, 4]", "name": "generalized_linkage_multipleblocks", "value": 341523669369454592}, {"parameter": "[9, 4, 4],[0, 5, 4]", "name": "generalized_linkage_multipleblocks", "value": 341523006484873216}, {"parameter": "[9, 4, 4],[0, 6, 4]", "name": "generalized_linkage_multipleblocks", "value": 341523011954245632}, {"parameter": "[9, 5, 3],[0, 3, 5]", "name": "generalized_linkage_multipleblocks", "value": 341528845310984192}, {"parameter": "[9, 5, 3],[0, 4, 5]", "name": "generalized_linkage_multipleblocks", "value": 341523008823590912}, {"parameter": "[9, 5, 3],[0, 5, 5]", "name": "generalized_linkage_multipleblocks", "value": 341523006568431616}, {"parameter": "[9, 5, 3],[0, 6, 5]", "name": "generalized_linkage_multipleblocks", "value": 341523012624678912}, {"parameter": "[9, 6, 2],[0, 2, 6]", "name": "generalized_linkage_multipleblocks", "value": 341571008699973632}, {"parameter": "[9, 6, 2],[0, 3, 6]", "name": "generalized_linkage_multipleblocks", "value": 341523029042112512}, {"parameter": "[9, 6, 2],[0, 4, 6]", "name": "generalized_linkage_multipleblocks", "value": 341523009683676672}, {"parameter": "[9, 6, 2],[0, 5, 6]", "name": "generalized_linkage_multipleblocks", "value": 341523006607714816}, {"parameter": "[9, 6, 2],[0, 6, 6]", "name": "generalized_linkage_multipleblocks", "value": 341523011270475008}, {"parameter": "", "name": "JohnsonLB", "value": 10430369795198299881}, {"parameter": "", "name": "JohnsonLB_special", "value": 10430369795198299881}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 2571947528817270416}], "request": [2, 17, 4, 8], "liftedmrdsizebound": 11525591988696785401, "comments": "", "equal_bound_constraints": []}