{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 543959438081999965602054955428186322207689611643379103556}, {"parameter": "", "name": "singleton", "value": 37377622327704219905090668384806}, {"parameter": "5", "name": "ilp_2", "value": 28433078259704620241165100096876}, {"parameter": "6", "name": "ilp_2", "value": 55622351693201784047474152384662236924}, {"parameter": "7", "name": "ilp_2", "value": 109513513312304355768254719250504246386128876}, {"parameter": "8", "name": "ilp_2", "value": 222805808653701992049685695631200350211185526554526}, {"parameter": "10", "name": "ilp_3", "value": 222805808653701992049685695631200350211185526554526}, {"parameter": "11", "name": "ilp_3", "value": 109513513312304355768254719250504246386128876}, {"parameter": "12", "name": "ilp_3", "value": 55622351693201784047474152384662236924}, {"parameter": "13", "name": "ilp_3", "value": 28433078259704620241165100096876}, {"parameter": "", "name": "anticode", "value": 28433078259704620241165100096876}, {"parameter": "", "name": "linear_programming_bound", "value": 28433078259704620241165100096876}, {"parameter": "", "name": "sphere_packing", "value": 13780071979090448952922540335873002}, {"parameter": "1", "name": "ilp_1", "value": 28428767641738717533638935714746}, {"parameter": "2", "name": "ilp_1", "value": 28428767641738717533638935852806}, {"parameter": "3", "name": "ilp_1", "value": 28428767641738717579685565140463}, {"parameter": "4", "name": "ilp_1", "value": 28428767641847521435966970432885}, {"parameter": "14", "name": "ilp_4", "value": 28428767641847521435966970432885}, {"parameter": "15", "name": "ilp_4", "value": 28428767641738717579685565140463}, {"parameter": "16", "name": "ilp_4", "value": 28428767641738717533638935852806}, {"parameter": "17", "name": "ilp_4", "value": 28428767641738717533638912277234}, {"parameter": "", "name": "johnson_1", "value": 28428767641738717533638935714746}, {"parameter": "", "name": "johnson_2", "value": 28428767641738717533638912277234}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 543959438081999965602054955428186322207689611643379103556}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 222805808653701992049685695631200350211185526554526}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 109513513312304355768254719250504246386128876}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 55622351693201784047474152384662236924}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 28433078259704620241165100096876}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 28428767641847521435966970432885}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 28428767641738717579685565140463}, {"parameter": "0, 16", "name": "Ahlswede_Aydinian", "value": 28428767641738717533638935852806}, {"parameter": "0, 17", "name": "Ahlswede_Aydinian", "value": 28428767641738717533638912277234}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 222805808653701992049685695631200350211185526554526}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 456306716654592415162236481493472554967237135}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 1121421798351998622713172960069553685398}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 2847902306209856184657898679941949}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 2848048127841875142186825737841784}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 2848777459891084685492481195367843}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 2852429731193959250020462868648198}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 2870832465660439620599400385712701}, {"parameter": "1, 16", "name": "Ahlswede_Aydinian", "value": 2966526677034301629163970969966801}, {"parameter": "1, 17", "name": "Ahlswede_Aydinian", "value": 28478571161566388347020664178597}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 109513513312304355768254719250504246386128876}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 1121421798351998622713172960069553685398}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 13780071979090448952922540335873002}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 13779535760621115704001588048671008}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 13780382402394134641756469954407332}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 13784617047588950139609015404824316}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 13805823933174106087755437172579082}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 13912706626632676887568399471875057}, {"parameter": "2, 15", "name": "Ahlswede_Aydinian", "value": 578778646595784258699198033381964}, {"parameter": "2, 16", "name": "Ahlswede_Aydinian", "value": 28708222241893843219523697810720}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 55622351693201784047474152384662236924}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 2847902306209856184657898679941949}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 2847909538162934809695493988395948}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 2847945698390410994146502367101030}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 2848126511080607495647133055011659}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 2849030863444396262624344729889857}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 2853559859654104497284321694005465}, {"parameter": "3, 13", "name": "Ahlswede_Aydinian", "value": 575242086556143727429997864931903}, {"parameter": "3, 14", "name": "Ahlswede_Aydinian", "value": 119809385267834379020747077244899}, {"parameter": "3, 15", "name": "Ahlswede_Aydinian", "value": 29903953536681081287961882769774}, {"parameter": "4, 5", "name": "Ahlswede_Aydinian", "value": 28433078259704620241165100096876}, {"parameter": "4, 6", "name": "Ahlswede_Aydinian", "value": 28433092790434693599202919179784}, {"parameter": "4, 7", "name": "Ahlswede_Aydinian", "value": 28433165444270939532138414020758}, {"parameter": "4, 8", "name": "Ahlswede_Aydinian", "value": 28433528718099207225163574600806}, {"parameter": "4, 9", "name": "Ahlswede_Aydinian", "value": 28435345203423929335494876169340}, {"parameter": "4, 10", "name": "Ahlswede_Aydinian", "value": 28444430535561545395784989728150}, {"parameter": "4, 11", "name": "Ahlswede_Aydinian", "value": 28489929950462679875421438830658}, {"parameter": "4, 12", "name": "Ahlswede_Aydinian", "value": 28719260542921529927684945877046}, {"parameter": "4, 13", "name": "Ahlswede_Aydinian", "value": 29913660623996133701411869516603}, {"parameter": "4, 14", "name": "Ahlswede_Aydinian", "value": 37377622327704219905090668384806}, {"parameter": "0, 9, o", "name": "Ahlswede_Aydinian", "value": 543959438081999965602054955428186322207689611643379103556}, {"parameter": "0, 10, o", "name": "Ahlswede_Aydinian", "value": 222805808653701992049685695631200350211185526554526}, {"parameter": "0, 11, o", "name": "Ahlswede_Aydinian", "value": 109513513312304355768254719250504246386128876}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 55622351693201784047474152384662236924}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 28433078259704620241165100096876}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 28428767641847521435966970432885}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 28428767641738717579685565140463}, {"parameter": "0, 16, o", "name": "Ahlswede_Aydinian", "value": 28428767641738717533638935852806}, {"parameter": "0, 17, o", "name": "Ahlswede_Aydinian", "value": 28428767641738717533638912277234}, {"parameter": "1, 8, o", "name": "Ahlswede_Aydinian", "value": 222805808653701992049685695631200350211185526554526}, {"parameter": "1, 9, o", "name": "Ahlswede_Aydinian", "value": 456306716654592415162236481493472554967237135}, {"parameter": "1, 10, o", "name": "Ahlswede_Aydinian", "value": 1121421798351998622713172960069553685398}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 2847902306209856184657898679941949}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 2848048127841875142186825737841784}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 2848777459891084685492481195367843}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 2852429731193959250020462868648198}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 2870832465660439620599400385712701}, {"parameter": "1, 16, o", "name": "Ahlswede_Aydinian", "value": 2966526677034301629163970969966801}, {"parameter": "1, 17, o", "name": "Ahlswede_Aydinian", "value": 28478571161566388347020664178597}, {"parameter": "2, 7, o", "name": "Ahlswede_Aydinian", "value": 109513513312304355768254719250504246386128876}, {"parameter": "2, 8, o", "name": "Ahlswede_Aydinian", "value": 1121421798351998622713172960069553685398}, {"parameter": "2, 9, o", "name": "Ahlswede_Aydinian", "value": 13780071979090448952922540335873002}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 13779535760621115704001588048671008}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 13780382402394134641756469954407332}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 13784617047588950139609015404824316}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 13805823933174106087755437172579082}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 13912706626632676887568399471875057}, {"parameter": "2, 15, o", "name": "Ahlswede_Aydinian", "value": 578778646595784258699198033381964}, {"parameter": "2, 16, o", "name": "Ahlswede_Aydinian", "value": 28708222241893843219523697810720}, {"parameter": "3, 6, o", "name": "Ahlswede_Aydinian", "value": 55622351693201784047474152384662236924}, {"parameter": "3, 7, o", "name": "Ahlswede_Aydinian", "value": 2847902306209856184657898679941949}, {"parameter": "3, 8, o", "name": "Ahlswede_Aydinian", "value": 2847909538162934809695493988395948}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 2847945698390410994146502367101030}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 2848126511080607495647133055011659}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 2849030863444396262624344729889857}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 2853559859654104497284321694005465}, {"parameter": "3, 13, o", "name": "Ahlswede_Aydinian", "value": 575242086556143727429997864931903}, {"parameter": "3, 14, o", "name": "Ahlswede_Aydinian", "value": 119809385267834379020747077244899}, {"parameter": "3, 15, o", "name": "Ahlswede_Aydinian", "value": 29903953536681081287961882769774}, {"parameter": "4, 5, o", "name": "Ahlswede_Aydinian", "value": 28433078259704620241165100096876}, {"parameter": "4, 6, o", "name": "Ahlswede_Aydinian", "value": 28433092790434693599202919179784}, {"parameter": "4, 7, o", "name": "Ahlswede_Aydinian", "value": 28433165444270939532138414020758}, {"parameter": "4, 8, o", "name": "Ahlswede_Aydinian", "value": 28433528718099207225163574600806}, {"parameter": "4, 9, o", "name": "Ahlswede_Aydinian", "value": 28435345203423929335494876169340}, {"parameter": "4, 10, o", "name": "Ahlswede_Aydinian", "value": 28444430535561545395784989728150}, {"parameter": "4, 11, o", "name": "Ahlswede_Aydinian", "value": 28489929950462679875421438830658}, {"parameter": "4, 12, o", "name": "Ahlswede_Aydinian", "value": 28719260542921529927684945877046}, {"parameter": "4, 13, o", "name": "Ahlswede_Aydinian", "value": 29913660623996133701411869516603}, {"parameter": "4, 14, o", "name": "Ahlswede_Aydinian", "value": 37377622327704219905090668384806}, {"parameter": "", "name": "improved_johnson", "value": 28428767641738717533638935714746}], "known_codes": [], "upper_bound": 28428767641738717533638912277234, "classified": false, "lower_bound": 28421709430404009942026677125120, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 28421709430404007434844970703125}, {"parameter": "", "name": "sphere_covering", "value": 226814372858408757}, {"parameter": "", "name": "graham_sloane", "value": 10275104}, {"parameter": "", "name": "multicomponent", "value": 28421709430404007434844970703126}, {"parameter": "[(0, 1, 2, 3, 4, 5, 6, 7, 8), (0, 1, 2, 3, 9, 10, 11, 12, 13), (2, 3, 4, 6, 9, 10, 14, 15, 16), (1, 4, 5, 6, 9, 11, 13, 15, 17), (0, 4, 5, 7, 9, 10, 12, 14, 17), (1, 3, 5, 8, 10, 11, 14, 16, 17), (0, 2, 7, 8, 9, 11, 15, 16, 17), (2, 5, 6, 7, 11, 12, 13, 14, 16), (1, 4, 7, 8, 10, 12, 13, 15, 16), (0, 3, 6, 8, 12, 13, 14, 15, 17)]", "name": "ef_computation", "value": 28421709430404007530212453517750}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 28421709430404007434844973266724}, {"parameter": "", "name": "two_pivot_block_construction", "value": 28421709430404009942026677125120}, {"parameter": "(9, 9)", "name": "CKMP2019_Lem_41", "value": 28421709430404007434844970703126}, {"parameter": "(9, 9)", "name": "CKMP2019_Cor_42", "value": 28421709430404007434844970703126}, {"parameter": "9", "name": "linkage_GLT", "value": 28421709430404007434844970703126}, {"parameter": "9", "name": "improved_linkage", "value": 28421709430404007434844970703126}, {"parameter": "10", "name": "improved_linkage", "value": 14551915228366851806640626}, {"parameter": "11", "name": "improved_linkage", "value": 7450580596923828126}, {"parameter": "12", "name": "improved_linkage", "value": 3814697265626}, {"parameter": "13", "name": "improved_linkage", "value": 1953126}, {"parameter": "9,0", "name": "generalized_linkage", "value": 28421709430404007434844980468876}, {"parameter": "9,1", "name": "generalized_linkage", "value": 28421709430404007434844970718876}, {"parameter": "9,2", "name": "generalized_linkage", "value": 28421709430404007434844970703126}, {"parameter": "9,3", "name": "generalized_linkage", "value": 28421709430404007434844970703126}, {"parameter": "9,4", "name": "generalized_linkage", "value": 28421709430404007434844970703126}, {"parameter": "10,1", "name": "generalized_linkage", "value": 14551915228366851806656376}, {"parameter": "10,2", "name": "generalized_linkage", "value": 14551915228366851806640626}, {"parameter": "10,3", "name": "generalized_linkage", "value": 14551915228366851806640626}, {"parameter": "10,4", "name": "generalized_linkage", "value": 14551915228366851806640626}, {"parameter": "11,2", "name": "generalized_linkage", "value": 7450580596923828126}, {"parameter": "11,3", "name": "generalized_linkage", "value": 7450580596923828126}, {"parameter": "11,4", "name": "generalized_linkage", "value": 7450580596923828126}, {"parameter": "12,3", "name": "generalized_linkage", "value": 3814697265626}, {"parameter": "12,4", "name": "generalized_linkage", "value": 3814697265626}, {"parameter": "13,4", "name": "generalized_linkage", "value": 1953126}, {"parameter": "[9, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 28421709430404007434844980468876}, {"parameter": "[9, 9],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 28421709430404007434844970718876}, {"parameter": "[9, 9],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 28421709430404007434844970703126}, {"parameter": "[9, 9],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 28421709430404007434844970703126}, {"parameter": "[9, 9],[0, 4]", "name": "generalized_linkage_multipleblocks", "value": 28421709430404007434844970703126}, {"parameter": "[10, 8],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 14551915228366851806656376}, {"parameter": "[10, 8],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 14551915228366851806640626}, {"parameter": "[10, 8],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 14551915228366851806640626}, {"parameter": "[10, 8],[0, 4]", "name": "generalized_linkage_multipleblocks", "value": 14551915228366851806640626}, {"parameter": "[11, 7],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 7450580596923828126}, {"parameter": "[11, 7],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 7450580596923828126}, {"parameter": "[11, 7],[0, 4]", "name": "generalized_linkage_multipleblocks", "value": 7450580596923828126}, {"parameter": "[12, 6],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 3814697265626}, {"parameter": "[12, 6],[0, 4]", "name": "generalized_linkage_multipleblocks", "value": 3814697265626}, {"parameter": "[13, 5],[0, 4]", "name": "generalized_linkage_multipleblocks", "value": 1953126}, {"parameter": "", "name": "JohnsonLB", "value": 45474730432035926473523517947}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 45474735088646415710693845005}], "request": [5, 18, 10, 9], "liftedmrdsizebound": 28421709430404007560213327412931, "comments": "", "equal_bound_constraints": []}