{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 1106318862415031509992507967997199980871301}, {"parameter": "", "name": "singleton", "value": 35303692060}, {"parameter": "1", "name": "ilp_2", "value": 31385843307}, {"parameter": "2", "name": "ilp_2", "value": 986273933187737885913}, {"parameter": "3", "name": "ilp_2", "value": 31337200101757048636360328823840}, {"parameter": "5", "name": "ilp_3", "value": 149887394989165629317505482725538542321}, {"parameter": "6", "name": "ilp_3", "value": 22563208639043448640298883445060747}, {"parameter": "7", "name": "ilp_3", "value": 3434272587486186528978991109287}, {"parameter": "", "name": "anticode", "value": 31385843307}, {"parameter": "", "name": "linear_programming_bound", "value": 31385843307}, {"parameter": "", "name": "sphere_packing", "value": 38216097686150747171313215940}, {"parameter": "", "name": "DrakeFreeman", "value": 31385842953}, {"parameter": "", "name": "partial_spread_5", "value": 31385843306}, {"parameter": "3", "name": "partial_spread_HKK16_T10", "value": 31385843231}, {"parameter": "4", "name": "partial_spread_HKK16_T10", "value": 31385842953}, {"parameter": "", "name": "partial_spread_NS_2_Theorem6", "value": 31385843284}, {"parameter": "", "name": "spread_bound", "value": 31385843307}, {"parameter": "", "name": "XiaFuJohnson1", "value": 31385843307}, {"parameter": "8", "name": "ilp_4", "value": 3434272587486186528978991109287}, {"parameter": "9", "name": "ilp_4", "value": 4710218433144063027946455852}, {"parameter": "10", "name": "ilp_4", "value": 6461533242405589708930807}, {"parameter": "11", "name": "ilp_4", "value": 8863633233798402386186}, {"parameter": "12", "name": "ilp_4", "value": 12159518796930581713}, {"parameter": "13", "name": "ilp_4", "value": 16679723613856028}, {"parameter": "14", "name": "ilp_4", "value": 22880279482847}, {"parameter": "", "name": "johnson_1", "value": 31385843307}, {"parameter": "", "name": "johnson_2", "value": 22880279482847}, {"parameter": "0, 4", "name": "Ahlswede_Aydinian", "value": 1106318862415031509992507967997199980871301}, {"parameter": "0, 5", "name": "Ahlswede_Aydinian", "value": 149887394989165629317505482725538542321}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 22563208639043448640298883445060747}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 3434272587486186528978991109287}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 3434272587486186528978991109287}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 4710218433144063027946455852}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 6461533242405589708930807}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 8863633233798402386186}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 12159518796930581713}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 16679723613856028}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 22880279482847}, {"parameter": "1, 3", "name": "Ahlswede_Aydinian", "value": 31337200101757048636360328823840}, {"parameter": "1, 4", "name": "Ahlswede_Aydinian", "value": 38216097686150747171313215940}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 51776314450455667451668556}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 51776314569105212223182056}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 638338256621519720342382}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 7884857421977037875308}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 97409976878033482525}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 1202608128662755556}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 14849033949677897}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 183545139423243}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 2291135941623}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 31424165420}, {"parameter": "2, 2", "name": "Ahlswede_Aydinian", "value": 986273933187737885913}, {"parameter": "2, 3", "name": "Ahlswede_Aydinian", "value": 10838175090312502423}, {"parameter": "2, 4", "name": "Ahlswede_Aydinian", "value": 10838175093348749808}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 1189573713103913274}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 133623351627367956}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 14844807144954614}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 1649646784308969}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 183296778637794}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 20369374977256}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 2266300540006}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 254885329740}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 31773322846}, {"parameter": "3, 1", "name": "Ahlswede_Aydinian", "value": 31385843307}, {"parameter": "3, 2", "name": "Ahlswede_Aydinian", "value": 31385843308}, {"parameter": "3, 3", "name": "Ahlswede_Aydinian", "value": 31385843316}, {"parameter": "3, 4", "name": "Ahlswede_Aydinian", "value": 31385843388}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 31385844044}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 31385849941}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 31385903021}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 31386380743}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 31390680821}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 31429428841}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 31782035634}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 35303692060}, {"parameter": "0, 11, o", "name": "Ahlswede_Aydinian", "value": 1106318862415031509992507967997199980871301}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 31337200101757048636360328823840}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 986273933187737885913}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 31385843307}, {"parameter": "1, 10, o", "name": "Ahlswede_Aydinian", "value": 149887394989165629317505482725538542321}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 38216097686150747171313215940}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 10838175090312502423}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 10958599232808393699}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 12176221369437899398}, {"parameter": "2, 9, o", "name": "Ahlswede_Aydinian", "value": 22563208639043448640298883445060747}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 51776314450455667451668556}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 51846556649875094752895592}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 52486637594681113936779171}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 58966469379582465273176521}, {"parameter": "3, 8, o", "name": "Ahlswede_Aydinian", "value": 3434272587486186528978991109287}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 3434795386507577233364513203288}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 3439507039889572023896003429997}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 3482441900531167797685182413787}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 3917150001348391097251303957615}, {"parameter": "", "name": "improved_johnson", "value": 31385843299}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 1351080503806606492}], "known_codes": [], "upper_bound": 31385842953, "classified": false, "lower_bound": 31385842579, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 31381059609}, {"parameter": "", "name": "sphere_covering", "value": 38275419}, {"parameter": "", "name": "graham_sloane", "value": 2}, {"parameter": "", "name": "partial_spread_3", "value": 31385842579}, {"parameter": "", "name": "multicomponent", "value": 31385842579}, {"parameter": "[(0, 1, 2, 3), (4, 5, 6, 7), (11, 12, 13, 14)]", "name": "ef_computation", "value": 31385842579}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 31381059609}, {"parameter": "(4, 11)", "name": "CKMP2019_Lem_41", "value": 31385842579}, {"parameter": "(5, 10)", "name": "CKMP2019_Lem_41", "value": 3487315843}, {"parameter": "(6, 9)", "name": "CKMP2019_Lem_41", "value": 387479539}, {"parameter": "(7, 8)", "name": "CKMP2019_Lem_41", "value": 43053283}, {"parameter": "(8, 7)", "name": "CKMP2019_Lem_41", "value": 31385842579}, {"parameter": "(9, 6)", "name": "CKMP2019_Lem_41", "value": 31381591051}, {"parameter": "(10, 5)", "name": "CKMP2019_Lem_41", "value": 31381118659}, {"parameter": "(11, 4)", "name": "CKMP2019_Lem_41", "value": 31381066171}, {"parameter": "(4, 4, 7)", "name": "CKMP2019_Lem_41", "value": 31385842579}, {"parameter": "(4, 5, 6)", "name": "CKMP2019_Lem_41", "value": 31381591051}, {"parameter": "(4, 6, 5)", "name": "CKMP2019_Lem_41", "value": 31381118659}, {"parameter": "(4, 7, 4)", "name": "CKMP2019_Lem_41", "value": 31381066171}, {"parameter": "(5, 4, 6)", "name": "CKMP2019_Lem_41", "value": 3487315843}, {"parameter": "(5, 5, 5)", "name": "CKMP2019_Lem_41", "value": 3486843451}, {"parameter": "(5, 6, 4)", "name": "CKMP2019_Lem_41", "value": 3486790963}, {"parameter": "(6, 4, 5)", "name": "CKMP2019_Lem_41", "value": 387479539}, {"parameter": "(6, 5, 4)", "name": "CKMP2019_Lem_41", "value": 387427051}, {"parameter": "(7, 4, 4)", "name": "CKMP2019_Lem_41", "value": 43053283}, {"parameter": "(4, 11)", "name": "CKMP2019_Cor_42", "value": 31385842579}, {"parameter": "(5, 10)", "name": "CKMP2019_Cor_42", "value": 3487315843}, {"parameter": "(6, 9)", "name": "CKMP2019_Cor_42", "value": 387479539}, {"parameter": "(7, 8)", "name": "CKMP2019_Cor_42", "value": 43053283}, {"parameter": "(8, 7)", "name": "CKMP2019_Cor_42", "value": 31385842579}, {"parameter": "(9, 6)", "name": "CKMP2019_Cor_42", "value": 31381591051}, {"parameter": "(10, 5)", "name": "CKMP2019_Cor_42", "value": 31381118659}, {"parameter": "(11, 4)", "name": "CKMP2019_Cor_42", "value": 31381066171}, {"parameter": "(4, 4, 7)", "name": "CKMP2019_Cor_42", "value": 31385842579}, {"parameter": "(4, 5, 6)", "name": "CKMP2019_Cor_42", "value": 31381591051}, {"parameter": "(4, 6, 5)", "name": "CKMP2019_Cor_42", "value": 31381118659}, {"parameter": "(4, 7, 4)", "name": "CKMP2019_Cor_42", "value": 31381066171}, {"parameter": "(5, 4, 6)", "name": "CKMP2019_Cor_42", "value": 3487315843}, {"parameter": "(5, 5, 5)", "name": "CKMP2019_Cor_42", "value": 3486843451}, {"parameter": "(5, 6, 4)", "name": "CKMP2019_Cor_42", "value": 3486790963}, {"parameter": "(6, 4, 5)", "name": "CKMP2019_Cor_42", "value": 387479539}, {"parameter": "(6, 5, 4)", "name": "CKMP2019_Cor_42", "value": 387427051}, {"parameter": "(7, 4, 4)", "name": "CKMP2019_Cor_42", "value": 43053283}, {"parameter": "4", "name": "linkage_GLT", "value": 31385842579}, {"parameter": "5", "name": "linkage_GLT", "value": 3487315843}, {"parameter": "6", "name": "linkage_GLT", "value": 387479539}, {"parameter": "7", "name": "linkage_GLT", "value": 43053283}, {"parameter": "8", "name": "linkage_GLT", "value": 31385842579}, {"parameter": "9", "name": "linkage_GLT", "value": 31381591051}, {"parameter": "10", "name": "linkage_GLT", "value": 31381118659}, {"parameter": "11", "name": "linkage_GLT", "value": 31381066171}, {"parameter": "4", "name": "improved_linkage", "value": 31385842579}, {"parameter": "5", "name": "improved_linkage", "value": 3487315843}, {"parameter": "6", "name": "improved_linkage", "value": 387479539}, {"parameter": "7", "name": "improved_linkage", "value": 43053283}, {"parameter": "8", "name": "improved_linkage", "value": 31385842579}, {"parameter": "9", "name": "improved_linkage", "value": 31381591051}, {"parameter": "10", "name": "improved_linkage", "value": 31381118659}, {"parameter": "11", "name": "improved_linkage", "value": 31381066171}, {"parameter": "4,0", "name": "generalized_linkage", "value": 31385842579}, {"parameter": "5,0", "name": "generalized_linkage", "value": 3487315843}, {"parameter": "6,0", "name": "generalized_linkage", "value": 387479539}, {"parameter": "7,0", "name": "generalized_linkage", "value": 43053283}, {"parameter": "8,0", "name": "generalized_linkage", "value": 31385842579}, {"parameter": "9,0", "name": "generalized_linkage", "value": 31381591051}, {"parameter": "10,0", "name": "generalized_linkage", "value": 31381118659}, {"parameter": "11,0", "name": "generalized_linkage", "value": 31381066171}, {"parameter": "[4, 11],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 31385842579}, {"parameter": "[5, 10],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 3487315843}, {"parameter": "[6, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 387479539}, {"parameter": "[7, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 43053283}, {"parameter": "[8, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 31385842579}, {"parameter": "[9, 6],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 31381591051}, {"parameter": "[10, 5],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 31381118659}, {"parameter": "[11, 4],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 31381066171}, {"parameter": "[4, 4, 7],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 31385842579}, {"parameter": "[4, 5, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 31381591051}, {"parameter": "[4, 6, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 31381118659}, {"parameter": "[4, 7, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 31381066171}, {"parameter": "[5, 4, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 3487315843}, {"parameter": "[5, 5, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 3486843451}, {"parameter": "[5, 6, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 3486790963}, {"parameter": "[6, 4, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 387479539}, {"parameter": "[6, 5, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 387427051}, {"parameter": "[7, 4, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 43053283}, {"parameter": "", "name": "JohnsonLB", "value": 31380528897}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 9}], "request": [9, 15, 8, 4], "liftedmrdsizebound": 31385842953, "comments": "", "equal_bound_constraints": []}