{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 934054234760012359481199283}, {"parameter": "", "name": "singleton", "value": 3287582741506063}, {"parameter": "4", "name": "ilp_2", "value": 1887381328285063}, {"parameter": "5", "name": "ilp_2", "value": 12859309722322529623}, {"parameter": "6", "name": "ilp_2", "value": 94914565060462591147363}, {"parameter": "8", "name": "ilp_3", "value": 284772632548784255939390}, {"parameter": "9", "name": "ilp_3", "value": 115749469585929989204}, {"parameter": "10", "name": "ilp_3", "value": 50966776338473440}, {"parameter": "", "name": "anticode", "value": 1887381328285063}, {"parameter": "", "name": "linear_programming_bound", "value": 1887381328285063}, {"parameter": "", "name": "sphere_packing", "value": 86847394349167467244}, {"parameter": "1", "name": "ilp_1", "value": 1887381125087029}, {"parameter": "2", "name": "ilp_1", "value": 1887381125131607}, {"parameter": "3", "name": "ilp_1", "value": 1887381328285063}, {"parameter": "11", "name": "ilp_4", "value": 50660076872627117}, {"parameter": "12", "name": "ilp_4", "value": 50660026979118955}, {"parameter": "13", "name": "ilp_4", "value": 50660026956399149}, {"parameter": "14", "name": "ilp_4", "value": 50660026956399149}, {"parameter": "", "name": "johnson_1", "value": 1887381125087029}, {"parameter": "", "name": "johnson_2", "value": 50660026956399149}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 934054234760012359481199283}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 284772632548784255939390}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 115749469585929989204}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 50966776338473440}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 50660076872627117}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 50660026979118955}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 50660026956399149}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 50660026956399149}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 94914565060462591147363}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 86847394349167467244}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 105943726885491469}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 106040656070004080}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 106331996903374063}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 107217275388415669}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 109963824536884079}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 13217912176928405}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 1957827189662618}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 12859309722322529623}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 35332547770896550}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 35055821615586034}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 35097796282554370}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 35226355045517691}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 35616667364411101}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 12367799182229261}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 4573630597523865}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 2200888874901142}, {"parameter": "3, 4", "name": "Ahlswede_Aydinian", "value": 1887381328285063}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 1887656092865474}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 1888480755333934}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 1890958065774268}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 1898420026131771}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 1921079495571927}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 1991613438287448}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 2229042706781363}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 3287582741506063}, {"parameter": "0, 8, o", "name": "Ahlswede_Aydinian", "value": 934054234760012359481199283}, {"parameter": "0, 9, o", "name": "Ahlswede_Aydinian", "value": 94914565060462591147363}, {"parameter": "0, 10, o", "name": "Ahlswede_Aydinian", "value": 12859309722322529623}, {"parameter": "0, 11, o", "name": "Ahlswede_Aydinian", "value": 1887381328285063}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 1887381328285063}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 1887381125131607}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 1887381125087029}, {"parameter": "1, 7, o", "name": "Ahlswede_Aydinian", "value": 284772632548784255939390}, {"parameter": "1, 8, o", "name": "Ahlswede_Aydinian", "value": 86847394349167467244}, {"parameter": "1, 9, o", "name": "Ahlswede_Aydinian", "value": 35332547770896550}, {"parameter": "1, 10, o", "name": "Ahlswede_Aydinian", "value": 35397451857121987}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 35692308145186572}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 36607205820575438}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 39656760186143498}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 52869636852580248}, {"parameter": "2, 6, o", "name": "Ahlswede_Aydinian", "value": 115749469585929989204}, {"parameter": "2, 7, o", "name": "Ahlswede_Aydinian", "value": 105943726885491469}, {"parameter": "2, 8, o", "name": "Ahlswede_Aydinian", "value": 106072965774097964}, {"parameter": "2, 9, o", "name": "Ahlswede_Aydinian", "value": 106462223600580010}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 107644038568268340}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 111320651679229827}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 123676559228407985}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 59448165531745439}, {"parameter": "3, 5, o", "name": "Ahlswede_Aydinian", "value": 50966776338473440}, {"parameter": "3, 6, o", "name": "Ahlswede_Aydinian", "value": 50989166194823626}, {"parameter": "3, 7, o", "name": "Ahlswede_Aydinian", "value": 51056426589810531}, {"parameter": "3, 8, o", "name": "Ahlswede_Aydinian", "value": 51259028559831408}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 51874313154782240}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 53790043461409169}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 60244087738712412}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 89117945389585840}, {"parameter": "", "name": "improved_johnson", "value": 1887381125087023}], "known_codes": [], "upper_bound": 1887381125087023, "classified": false, "lower_bound": 1853020231898563, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 1853020188851841}, {"parameter": "", "name": "sphere_covering", "value": 2042576475}, {"parameter": "", "name": "graham_sloane", "value": 632333}, {"parameter": "", "name": "multicomponent", "value": 1853020188854029}, {"parameter": "[(0, 1, 2, 3, 4, 5, 6), (0, 2, 4, 7, 8, 9, 10), (1, 2, 5, 7, 8, 11, 12), (1, 3, 6, 7, 8, 9, 14), (0, 3, 5, 7, 9, 11, 13), (1, 3, 4, 9, 10, 11, 12), (0, 1, 6, 8, 10, 11, 13), (2, 3, 6, 7, 10, 12, 13), (1, 4, 5, 7, 10, 13, 14), (0, 3, 5, 8, 10, 12, 14), (0, 4, 6, 7, 11, 12, 14), (2, 3, 4, 8, 11, 13, 14), (2, 5, 6, 9, 10, 11, 14), (4, 5, 6, 8, 9, 12, 13), (0, 1, 2, 9, 12, 13, 14)]", "name": "ef_computation", "value": 1853020203344073}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 1853020188851857}, {"parameter": "", "name": "two_pivot_block_construction", "value": 1853020231898563}, {"parameter": "(7, 8)", "name": "CKMP2019_Lem_41", "value": 1853020188851842}, {"parameter": "(8, 7)", "name": "CKMP2019_Lem_41", "value": 22876792454962}, {"parameter": "(7, 8)", "name": "CKMP2019_Cor_42", "value": 1853020188851842}, {"parameter": "(8, 7)", "name": "CKMP2019_Cor_42", "value": 22876792454962}, {"parameter": "7", "name": "linkage_GLT", "value": 1853020188851842}, {"parameter": "8", "name": "linkage_GLT", "value": 22876792454962}, {"parameter": "7", "name": "improved_linkage", "value": 1853020188854029}, {"parameter": "8", "name": "improved_linkage", "value": 22876792454962}, {"parameter": "9", "name": "improved_linkage", "value": 10460353204}, {"parameter": "10", "name": "improved_linkage", "value": 4782970}, {"parameter": "11", "name": "improved_linkage", "value": 4785157}, {"parameter": "7,0", "name": "generalized_linkage", "value": 1853020188858819}, {"parameter": "7,1", "name": "generalized_linkage", "value": 1853020188851932}, {"parameter": "7,2", "name": "generalized_linkage", "value": 1853020188851842}, {"parameter": "7,3", "name": "generalized_linkage", "value": 1853020188854029}, {"parameter": "8,0", "name": "generalized_linkage", "value": 22876792461939}, {"parameter": "8,1", "name": "generalized_linkage", "value": 22876792455232}, {"parameter": "8,2", "name": "generalized_linkage", "value": 22876792454962}, {"parameter": "8,3", "name": "generalized_linkage", "value": 22876792454962}, {"parameter": "9,1", "name": "generalized_linkage", "value": 10460353474}, {"parameter": "9,2", "name": "generalized_linkage", "value": 10460353204}, {"parameter": "9,3", "name": "generalized_linkage", "value": 10460353204}, {"parameter": "10,2", "name": "generalized_linkage", "value": 4782970}, {"parameter": "10,3", "name": "generalized_linkage", "value": 4782970}, {"parameter": "11,3", "name": "generalized_linkage", "value": 4785157}, {"parameter": "[7, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1853020188858819}, {"parameter": "[7, 8],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 1853020188851932}, {"parameter": "[7, 8],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 1853020188851842}, {"parameter": "[7, 8],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 1853020188854029}, {"parameter": "[8, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 22876792461939}, {"parameter": "[8, 7],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 22876792455232}, {"parameter": "[8, 7],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 22876792454962}, {"parameter": "[8, 7],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 22876792454962}, {"parameter": "[9, 6],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 10460353474}, {"parameter": "[9, 6],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 10460353204}, {"parameter": "[9, 6],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 10460353204}, {"parameter": "[10, 5],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 4782970}, {"parameter": "[10, 5],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 4782970}, {"parameter": "[11, 4],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 4785157}, {"parameter": "[7, 4, 4],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 4792134}, {"parameter": "", "name": "JohnsonLB", "value": 1852737878252166}, {"parameter": "", "name": "JohnsonLB_special", "value": 1852737878252166}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 22876807040877}], "request": [3, 15, 8, 7], "liftedmrdsizebound": 1853020264765063, "comments": "", "equal_bound_constraints": []}