{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 63379954960524853651}, {"parameter": "", "name": "singleton", "value": 13910980083}, {"parameter": "4", "name": "ilp_2", "value": 4556109963}, {"parameter": "5", "name": "ilp_2", "value": 1243818020081}, {"parameter": "6", "name": "ilp_2", "value": 363727926729401}, {"parameter": "7", "name": "ilp_2", "value": 124031223014725741}, {"parameter": "9", "name": "ilp_3", "value": 124031223014725741}, {"parameter": "10", "name": "ilp_3", "value": 363727926729401}, {"parameter": "11", "name": "ilp_3", "value": 1243818020081}, {"parameter": "12", "name": "ilp_3", "value": 4556109963}, {"parameter": "", "name": "anticode", "value": 4556109963}, {"parameter": "", "name": "linear_programming_bound", "value": 4556109963}, {"parameter": "", "name": "sphere_packing", "value": 33990406539}, {"parameter": "1", "name": "ilp_1", "value": 4465778233}, {"parameter": "2", "name": "ilp_1", "value": 4465779082}, {"parameter": "3", "name": "ilp_1", "value": 4466000109}, {"parameter": "13", "name": "ilp_4", "value": 4466000109}, {"parameter": "14", "name": "ilp_4", "value": 4465779082}, {"parameter": "15", "name": "ilp_4", "value": 4465778233}, {"parameter": "", "name": "johnson_1", "value": 4465778233}, {"parameter": "", "name": "johnson_2", "value": 4465778233}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 63379954960524853651}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 124031223014725741}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 363727926729401}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 1243818020081}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 4556109963}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 4466000109}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 4465779082}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 4465778233}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 124031223014725741}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 487346925133408}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 2872356430252}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 19809810289}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 19469225501}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 20114597880}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 21544924502}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 25117030663}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 4839580374}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 363727926729401}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 2872356430252}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 33990406539}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 34391811482}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 35205752055}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 36950880684}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 40873208661}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 12572789049}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 5439872171}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 1243818020081}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 19809810289}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 19315948914}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 19572393090}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 20115492446}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 21268613794}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 12234384856}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 7767460728}, {"parameter": "3, 13", "name": "Ahlswede_Aydinian", "value": 7192950693}, {"parameter": "4, 4", "name": "Ahlswede_Aydinian", "value": 4556109963}, {"parameter": "4, 5", "name": "Ahlswede_Aydinian", "value": 4572318110}, {"parameter": "4, 6", "name": "Ahlswede_Aydinian", "value": 4604971787}, {"parameter": "4, 7", "name": "Ahlswede_Aydinian", "value": 4671242824}, {"parameter": "4, 8", "name": "Ahlswede_Aydinian", "value": 4807756181}, {"parameter": "4, 9", "name": "Ahlswede_Aydinian", "value": 5097658823}, {"parameter": "4, 10", "name": "Ahlswede_Aydinian", "value": 5753951254}, {"parameter": "4, 11", "name": "Ahlswede_Aydinian", "value": 7466469205}, {"parameter": "4, 12", "name": "Ahlswede_Aydinian", "value": 13910980083}, {"parameter": "0, 8, o", "name": "Ahlswede_Aydinian", "value": 63379954960524853651}, {"parameter": "0, 9, o", "name": "Ahlswede_Aydinian", "value": 124031223014725741}, {"parameter": "0, 10, o", "name": "Ahlswede_Aydinian", "value": 363727926729401}, {"parameter": "0, 11, o", "name": "Ahlswede_Aydinian", "value": 1243818020081}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 4556109963}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 4466000109}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 4465779082}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 4465778233}, {"parameter": "1, 7, o", "name": "Ahlswede_Aydinian", "value": 124031223014725741}, {"parameter": "1, 8, o", "name": "Ahlswede_Aydinian", "value": 487346925133408}, {"parameter": "1, 9, o", "name": "Ahlswede_Aydinian", "value": 2872356430252}, {"parameter": "1, 10, o", "name": "Ahlswede_Aydinian", "value": 19809810289}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 19469225501}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 20114597880}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 21544924502}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 25117030663}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 4839580374}, {"parameter": "2, 6, o", "name": "Ahlswede_Aydinian", "value": 363727926729401}, {"parameter": "2, 7, o", "name": "Ahlswede_Aydinian", "value": 2872356430252}, {"parameter": "2, 8, o", "name": "Ahlswede_Aydinian", "value": 33990406539}, {"parameter": "2, 9, o", "name": "Ahlswede_Aydinian", "value": 34391811482}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 35205752055}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 36950880684}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 40873208661}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 12572789049}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 5439872171}, {"parameter": "3, 5, o", "name": "Ahlswede_Aydinian", "value": 1243818020081}, {"parameter": "3, 6, o", "name": "Ahlswede_Aydinian", "value": 19809810289}, {"parameter": "3, 7, o", "name": "Ahlswede_Aydinian", "value": 19315948914}, {"parameter": "3, 8, o", "name": "Ahlswede_Aydinian", "value": 19572393090}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 20115492446}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 21268613794}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 12234384856}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 7767460728}, {"parameter": "3, 13, o", "name": "Ahlswede_Aydinian", "value": 7192950693}, {"parameter": "4, 4, o", "name": "Ahlswede_Aydinian", "value": 4556109963}, {"parameter": "4, 5, o", "name": "Ahlswede_Aydinian", "value": 4572318110}, {"parameter": "4, 6, o", "name": "Ahlswede_Aydinian", "value": 4604971787}, {"parameter": "4, 7, o", "name": "Ahlswede_Aydinian", "value": 4671242824}, {"parameter": "4, 8, o", "name": "Ahlswede_Aydinian", "value": 4807756181}, {"parameter": "4, 9, o", "name": "Ahlswede_Aydinian", "value": 5097658823}, {"parameter": "4, 10, o", "name": "Ahlswede_Aydinian", "value": 5753951254}, {"parameter": "4, 11, o", "name": "Ahlswede_Aydinian", "value": 7466469205}, {"parameter": "4, 12, o", "name": "Ahlswede_Aydinian", "value": 13910980083}, {"parameter": "", "name": "improved_johnson", "value": 4465778233}], "known_codes": [], "upper_bound": 4465778233, "classified": false, "lower_bound": 4294967334, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 4294967296}, {"parameter": "", "name": "sphere_covering", "value": 23945}, {"parameter": "", "name": "graham_sloane", "value": 4}, {"parameter": "", "name": "multicomponent", "value": 4294967297}, {"parameter": "[(0, 1, 2, 3, 4, 5, 6, 7), (0, 1, 2, 8, 9, 10, 11, 12), (0, 3, 4, 8, 9, 13, 14, 15), (1, 5, 6, 10, 11, 13, 14, 15)]", "name": "greedy_multicomponent", "value": 4294967299}, {"parameter": "[(0, 1, 2, 3, 4, 5, 6, 7), (0, 1, 2, 8, 9, 10, 11, 12), (1, 4, 6, 8, 9, 13, 14, 15), (3, 5, 7, 9, 11, 12, 14, 15)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 4294968330)", "name": "ef_computation", "value": 4294967334}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 4294967297}, {"parameter": "(8, 8)", "name": "CKMP2019_Lem_41", "value": 4294967297}, {"parameter": "(8, 8)", "name": "CKMP2019_Cor_42", "value": 4294967297}, {"parameter": "8", "name": "linkage_GLT", "value": 4294967297}, {"parameter": "8", "name": "improved_linkage", "value": 4294967297}, {"parameter": "9", "name": "improved_linkage", "value": 16777217}, {"parameter": "10", "name": "improved_linkage", "value": 65537}, {"parameter": "11", "name": "improved_linkage", "value": 257}, {"parameter": "8,0", "name": "generalized_linkage", "value": 4294967330}, {"parameter": "8,1", "name": "generalized_linkage", "value": 4294967297}, {"parameter": "8,2", "name": "generalized_linkage", "value": 4294967297}, {"parameter": "8,3", "name": "generalized_linkage", "value": 4294967297}, {"parameter": "9,1", "name": "generalized_linkage", "value": 16777217}, {"parameter": "9,2", "name": "generalized_linkage", "value": 16777217}, {"parameter": "9,3", "name": "generalized_linkage", "value": 16777217}, {"parameter": "10,2", "name": "generalized_linkage", "value": 65537}, {"parameter": "10,3", "name": "generalized_linkage", "value": 65537}, {"parameter": "11,3", "name": "generalized_linkage", "value": 257}, {"parameter": "[8, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 4294967330}, {"parameter": "[8, 8],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 4294967297}, {"parameter": "[8, 8],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 4294967297}, {"parameter": "[8, 8],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 4294967297}, {"parameter": "[9, 7],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 16777217}, {"parameter": "[9, 7],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 16777217}, {"parameter": "[9, 7],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 16777217}, {"parameter": "[10, 6],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 65537}, {"parameter": "[10, 6],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 65537}, {"parameter": "[11, 5],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 257}, {"parameter": "", "name": "JohnsonLB", "value": 267913229}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 268435602}], "request": [2, 16, 10, 8], "liftedmrdsizebound": 4294968838, "comments": "", "equal_bound_constraints": []}