{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 2113887057661126}, {"parameter": "", "name": "singleton", "value": 49031983}, {"parameter": "2", "name": "ilp_2", "value": 43112412}, {"parameter": "3", "name": "ilp_2", "value": 286395753646}, {"parameter": "5", "name": "ilp_3", "value": 286395753646}, {"parameter": "6", "name": "ilp_3", "value": 43112412}, {"parameter": "", "name": "anticode", "value": 43112412}, {"parameter": "", "name": "linear_programming_bound", "value": 43112412}, {"parameter": "", "name": "sphere_packing", "value": 349310382}, {"parameter": "1", "name": "ilp_1", "value": 43059844}, {"parameter": "7", "name": "ilp_4", "value": 43059844}, {"parameter": "", "name": "johnson_1", "value": 43059844}, {"parameter": "", "name": "johnson_2", "value": 43059844}, {"parameter": "0, 4", "name": "Ahlswede_Aydinian", "value": 2113887057661126}, {"parameter": "0, 5", "name": "Ahlswede_Aydinian", "value": 286395753646}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 43112412}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 43059844}, {"parameter": "1, 3", "name": "Ahlswede_Aydinian", "value": 286395753646}, {"parameter": "1, 4", "name": "Ahlswede_Aydinian", "value": 349310382}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 345898319}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 349736889}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 43644583}, {"parameter": "2, 2", "name": "Ahlswede_Aydinian", "value": 43112412}, {"parameter": "2, 3", "name": "Ahlswede_Aydinian", "value": 43118831}, {"parameter": "2, 4", "name": "Ahlswede_Aydinian", "value": 43176685}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 43703794}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 49031983}, {"parameter": "0, 4, o", "name": "Ahlswede_Aydinian", "value": 2113887057661126}, {"parameter": "0, 5, o", "name": "Ahlswede_Aydinian", "value": 286395753646}, {"parameter": "0, 6, o", "name": "Ahlswede_Aydinian", "value": 43112412}, {"parameter": "0, 7, o", "name": "Ahlswede_Aydinian", "value": 43059844}, {"parameter": "1, 3, o", "name": "Ahlswede_Aydinian", "value": 286395753646}, {"parameter": "1, 4, o", "name": "Ahlswede_Aydinian", "value": 349310382}, {"parameter": "1, 5, o", "name": "Ahlswede_Aydinian", "value": 345898319}, {"parameter": "1, 6, o", "name": "Ahlswede_Aydinian", "value": 349736889}, {"parameter": "1, 7, o", "name": "Ahlswede_Aydinian", "value": 43644583}, {"parameter": "2, 2, o", "name": "Ahlswede_Aydinian", "value": 43112412}, {"parameter": "2, 3, o", "name": "Ahlswede_Aydinian", "value": 43118831}, {"parameter": "2, 4, o", "name": "Ahlswede_Aydinian", "value": 43176685}, {"parameter": "2, 5, o", "name": "Ahlswede_Aydinian", "value": 43703794}, {"parameter": "2, 6, o", "name": "Ahlswede_Aydinian", "value": 49031983}, {"parameter": "", "name": "improved_johnson", "value": 43059844}, {"parameter": "", "name": "HKK_theorem_3_3_i_upper_bound_cdc", "value": 43059844}], "known_codes": [], "upper_bound": 43059844, "classified": false, "lower_bound": 43046722, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 43046721}, {"parameter": "", "name": "sphere_covering", "value": 5787}, {"parameter": "", "name": "graham_sloane", "value": 10}, {"parameter": "optimal [(0, 1, 2, 3), (0, 4, 5, 6)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 43046722 with optimal [(0, 1, 2, 3), (0, 4, 5, 6)])", "name": "pending_dots", "value": 43046722}, {"parameter": "optimal [(0, 1, 2, 3), (0, 4, 5, 6)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 43046722 with optimal [(0, 1, 2, 3), (0, 4, 5, 6)])", "name": "echelon_ferrers", "value": 43046722}, {"parameter": "", "name": "multicomponent", "value": 43046722}, {"parameter": "[(0, 1, 2, 3), (1, 4, 6, 7)]", "name": "ef_computation", "value": 43046722}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 43046721}, {"parameter": "(4, 4)", "name": "CKMP2019_Lem_41", "value": 43046722}, {"parameter": "(4, 4)", "name": "CKMP2019_Cor_42", "value": 43046722}, {"parameter": "", "name": "construction_1", "value": 43046722}, {"parameter": "4", "name": "linkage_GLT", "value": 43046722}, {"parameter": "4", "name": "improved_linkage", "value": 43046722}, {"parameter": "5", "name": "improved_linkage", "value": 6562}, {"parameter": "4,0", "name": "generalized_linkage", "value": 43046722}, {"parameter": "4,1", "name": "generalized_linkage", "value": 43046722}, {"parameter": "5,1", "name": "generalized_linkage", "value": 6562}, {"parameter": "[4, 4],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 43046722}, {"parameter": "[4, 4],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 43046722}, {"parameter": "[5, 3],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 6562}, {"parameter": "", "name": "JohnsonLB", "value": 531433}, {"parameter": "", "name": "HKK_theorem_3_3_i_lower_bound_cdc", "value": 43046722}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 531450}], "request": [9, 8, 6, 4], "liftedmrdsizebound": 43046722, "comments": "", "equal_bound_constraints": []}