{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 9779511680526143556}, {"parameter": "", "name": "singleton", "value": 2441406}, {"parameter": "1", "name": "ilp_2", "value": 1968876}, {"parameter": "2", "name": "ilp_2", "value": 4005688394526}, {"parameter": "4", "name": "ilp_3", "value": 62689177439270151}, {"parameter": "5", "name": "ilp_3", "value": 481606996972626}, {"parameter": "", "name": "anticode", "value": 1968876}, {"parameter": "", "name": "linear_programming_bound", "value": 1968876}, {"parameter": "", "name": "sphere_packing", "value": 129215805881}, {"parameter": "", "name": "spread_bound", "value": 1968876}, {"parameter": "", "name": "XiaFuJohnson1", "value": 1968876}, {"parameter": "6", "name": "ilp_4", "value": 481606996972626}, {"parameter": "7", "name": "ilp_4", "value": 19111584471880}, {"parameter": "8", "name": "ilp_4", "value": 766173986761}, {"parameter": "9", "name": "ilp_4", "value": 30764156256}, {"parameter": "10", "name": "ilp_4", "value": 1230488124}, {"parameter": "11", "name": "ilp_4", "value": 49220399}, {"parameter": "", "name": "johnson_1", "value": 1968876}, {"parameter": "", "name": "johnson_2", "value": 49220399}, {"parameter": "0, 3", "name": "Ahlswede_Aydinian", "value": 9779511680526143556}, {"parameter": "0, 4", "name": "Ahlswede_Aydinian", "value": 62689177439270151}, {"parameter": "0, 5", "name": "Ahlswede_Aydinian", "value": 481606996972626}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 481606996972626}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 19111584471880}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 766173986761}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 30764156256}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 1230488124}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 49220399}, {"parameter": "1, 2", "name": "Ahlswede_Aydinian", "value": 4005688394526}, {"parameter": "1, 3", "name": "Ahlswede_Aydinian", "value": 129215805881}, {"parameter": "1, 4", "name": "Ahlswede_Aydinian", "value": 129216061979}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 24855852444}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 5129239573}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 1024526348}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 205411907}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 41336272}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 8534001}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 2034501}, {"parameter": "2, 1", "name": "Ahlswede_Aydinian", "value": 1968876}, {"parameter": "2, 2", "name": "Ahlswede_Aydinian", "value": 1968876}, {"parameter": "2, 3", "name": "Ahlswede_Aydinian", "value": 1968880}, {"parameter": "2, 4", "name": "Ahlswede_Aydinian", "value": 1968901}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 1969001}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 1969506}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 1972030}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 1984733}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 2050361}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 2441406}, {"parameter": "0, 9, o", "name": "Ahlswede_Aydinian", "value": 9779511680526143556}, {"parameter": "0, 10, o", "name": "Ahlswede_Aydinian", "value": 4005688394526}, {"parameter": "0, 11, o", "name": "Ahlswede_Aydinian", "value": 1968876}, {"parameter": "1, 8, o", "name": "Ahlswede_Aydinian", "value": 62689177439270151}, {"parameter": "1, 9, o", "name": "Ahlswede_Aydinian", "value": 129215805881}, {"parameter": "1, 10, o", "name": "Ahlswede_Aydinian", "value": 133522990237}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 160227520026}, {"parameter": "2, 7, o", "name": "Ahlswede_Aydinian", "value": 481606996972626}, {"parameter": "2, 8, o", "name": "Ahlswede_Aydinian", "value": 485335528795522}, {"parameter": "2, 9, o", "name": "Ahlswede_Aydinian", "value": 504748741867899}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 625886840206056}, {"parameter": "", "name": "improved_johnson", "value": 1968876}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 30812033502}], "known_codes": [], "upper_bound": 1968876, "classified": false, "lower_bound": 1968876, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 1953125}, {"parameter": "", "name": "sphere_covering", "value": 63513}, {"parameter": "", "name": "graham_sloane", "value": 657}, {"parameter": "", "name": "partial_spread_3", "value": 1968876}, {"parameter": "", "name": "multicomponent", "value": 1968876}, {"parameter": "[(0, 1, 2), (3, 4, 5), (6, 7, 8), (9, 10, 11)]", "name": "ef_computation", "value": 1968876}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 1953125}, {"parameter": "(3, 9)", "name": "CKMP2019_Lem_41", "value": 1968876}, {"parameter": "(4, 8)", "name": "CKMP2019_Lem_41", "value": 393751}, {"parameter": "(5, 7)", "name": "CKMP2019_Lem_41", "value": 78751}, {"parameter": "(6, 6)", "name": "CKMP2019_Lem_41", "value": 1968876}, {"parameter": "(7, 5)", "name": "CKMP2019_Lem_41", "value": 1956251}, {"parameter": "(8, 4)", "name": "CKMP2019_Lem_41", "value": 1953751}, {"parameter": "(9, 3)", "name": "CKMP2019_Lem_41", "value": 1968876}, {"parameter": "(3, 3, 6)", "name": "CKMP2019_Lem_41", "value": 1968876}, {"parameter": "(3, 4, 5)", "name": "CKMP2019_Lem_41", "value": 1956251}, {"parameter": "(3, 5, 4)", "name": "CKMP2019_Lem_41", "value": 1953751}, {"parameter": "(3, 6, 3)", "name": "CKMP2019_Lem_41", "value": 1968876}, {"parameter": "(4, 3, 5)", "name": "CKMP2019_Lem_41", "value": 393751}, {"parameter": "(4, 4, 4)", "name": "CKMP2019_Lem_41", "value": 391251}, {"parameter": "(4, 5, 3)", "name": "CKMP2019_Lem_41", "value": 390751}, {"parameter": "(5, 3, 4)", "name": "CKMP2019_Lem_41", "value": 78751}, {"parameter": "(5, 4, 3)", "name": "CKMP2019_Lem_41", "value": 78251}, {"parameter": "(6, 3, 3)", "name": "CKMP2019_Lem_41", "value": 1968876}, {"parameter": "(3, 3, 3, 3)", "name": "CKMP2019_Lem_41", "value": 1968876}, {"parameter": "(3, 9)", "name": "CKMP2019_Cor_42", "value": 1968876}, {"parameter": "(4, 8)", "name": "CKMP2019_Cor_42", "value": 393751}, {"parameter": "(5, 7)", "name": "CKMP2019_Cor_42", "value": 78751}, {"parameter": "(6, 6)", "name": "CKMP2019_Cor_42", "value": 1968876}, {"parameter": "(7, 5)", "name": "CKMP2019_Cor_42", "value": 1956251}, {"parameter": "(8, 4)", "name": "CKMP2019_Cor_42", "value": 1953751}, {"parameter": "(9, 3)", "name": "CKMP2019_Cor_42", "value": 1968876}, {"parameter": "(3, 3, 6)", "name": "CKMP2019_Cor_42", "value": 1968876}, {"parameter": "(3, 4, 5)", "name": "CKMP2019_Cor_42", "value": 1956251}, {"parameter": "(3, 5, 4)", "name": "CKMP2019_Cor_42", "value": 1953751}, {"parameter": "(3, 6, 3)", "name": "CKMP2019_Cor_42", "value": 1968876}, {"parameter": "(4, 3, 5)", "name": "CKMP2019_Cor_42", "value": 393751}, {"parameter": "(4, 4, 4)", "name": "CKMP2019_Cor_42", "value": 391251}, {"parameter": "(4, 5, 3)", "name": "CKMP2019_Cor_42", "value": 390751}, {"parameter": "(5, 3, 4)", "name": "CKMP2019_Cor_42", "value": 78751}, {"parameter": "(5, 4, 3)", "name": "CKMP2019_Cor_42", "value": 78251}, {"parameter": "(6, 3, 3)", "name": "CKMP2019_Cor_42", "value": 1968876}, {"parameter": "(3, 3, 3, 3)", "name": "CKMP2019_Cor_42", "value": 1968876}, {"parameter": "3", "name": "linkage_GLT", "value": 1968876}, {"parameter": "4", "name": "linkage_GLT", "value": 393751}, {"parameter": "5", "name": "linkage_GLT", "value": 78751}, {"parameter": "6", "name": "linkage_GLT", "value": 1968876}, {"parameter": "7", "name": "linkage_GLT", "value": 1956251}, {"parameter": "8", "name": "linkage_GLT", "value": 1953751}, {"parameter": "9", "name": "linkage_GLT", "value": 1968876}, {"parameter": "3", "name": "improved_linkage", "value": 1968876}, {"parameter": "4", "name": "improved_linkage", "value": 393751}, {"parameter": "5", "name": "improved_linkage", "value": 78751}, {"parameter": "6", "name": "improved_linkage", "value": 1968876}, {"parameter": "7", "name": "improved_linkage", "value": 1956251}, {"parameter": "8", "name": "improved_linkage", "value": 1953751}, {"parameter": "9", "name": "improved_linkage", "value": 1968876}, {"parameter": "3,0", "name": "generalized_linkage", "value": 1968876}, {"parameter": "4,0", "name": "generalized_linkage", "value": 393751}, {"parameter": "5,0", "name": "generalized_linkage", "value": 78751}, {"parameter": "6,0", "name": "generalized_linkage", "value": 1968876}, {"parameter": "7,0", "name": "generalized_linkage", "value": 1956251}, {"parameter": "8,0", "name": "generalized_linkage", "value": 1953751}, {"parameter": "9,0", "name": "generalized_linkage", "value": 1968876}, {"parameter": "[3, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1968876}, {"parameter": "[4, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 393751}, {"parameter": "[5, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 78751}, {"parameter": "[6, 6],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1968876}, {"parameter": "[7, 5],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1956251}, {"parameter": "[8, 4],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1953751}, {"parameter": "[9, 3],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1968876}, {"parameter": "[3, 3, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1968876}, {"parameter": "[3, 4, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1956251}, {"parameter": "[3, 5, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1953751}, {"parameter": "[3, 6, 3],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1968876}, {"parameter": "[4, 3, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 393751}, {"parameter": "[4, 4, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 391251}, {"parameter": "[4, 5, 3],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 390751}, {"parameter": "[5, 3, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 78751}, {"parameter": "[5, 4, 3],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 78251}, {"parameter": "[6, 3, 3],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1968876}, {"parameter": "[3, 3, 3, 3],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1968876}, {"parameter": "", "name": "JohnsonLB", "value": 1950126}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 5}], "request": [5, 12, 6, 3], "liftedmrdsizebound": 1968876, "comments": "", "equal_bound_constraints": [{"parameter": "", "name": "spread", "value": 1968876}, {"parameter": "", "name": "partial_spread_NS", "value": 1968876}]}