{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 200525284806}, {"parameter": "", "name": "singleton", "value": 508431}, {"parameter": "2", "name": "ilp_2", "value": 394400}, {"parameter": "3", "name": "ilp_2", "value": 256754526}, {"parameter": "5", "name": "ilp_3", "value": 256754526}, {"parameter": "6", "name": "ilp_3", "value": 394400}, {"parameter": "", "name": "anticode", "value": 394400}, {"parameter": "", "name": "linear_programming_bound", "value": 394400}, {"parameter": "", "name": "sphere_packing", "value": 1647958}, {"parameter": "1", "name": "ilp_1", "value": 391876}, {"parameter": "7", "name": "ilp_4", "value": 391876}, {"parameter": "", "name": "johnson_1", "value": 391876}, {"parameter": "", "name": "johnson_2", "value": 391876}, {"parameter": "0, 4", "name": "Ahlswede_Aydinian", "value": 200525284806}, {"parameter": "0, 5", "name": "Ahlswede_Aydinian", "value": 256754526}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 394400}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 391876}, {"parameter": "1, 3", "name": "Ahlswede_Aydinian", "value": 256754526}, {"parameter": "1, 4", "name": "Ahlswede_Aydinian", "value": 1647958}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 1605432}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 1658589}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 410151}, {"parameter": "2, 2", "name": "Ahlswede_Aydinian", "value": 394400}, {"parameter": "2, 3", "name": "Ahlswede_Aydinian", "value": 394987}, {"parameter": "2, 4", "name": "Ahlswede_Aydinian", "value": 397945}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 413326}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 508431}, {"parameter": "0, 4, o", "name": "Ahlswede_Aydinian", "value": 200525284806}, {"parameter": "0, 5, o", "name": "Ahlswede_Aydinian", "value": 256754526}, {"parameter": "0, 6, o", "name": "Ahlswede_Aydinian", "value": 394400}, {"parameter": "0, 7, o", "name": "Ahlswede_Aydinian", "value": 391876}, {"parameter": "1, 3, o", "name": "Ahlswede_Aydinian", "value": 256754526}, {"parameter": "1, 4, o", "name": "Ahlswede_Aydinian", "value": 1647958}, {"parameter": "1, 5, o", "name": "Ahlswede_Aydinian", "value": 1605432}, {"parameter": "1, 6, o", "name": "Ahlswede_Aydinian", "value": 1658589}, {"parameter": "1, 7, o", "name": "Ahlswede_Aydinian", "value": 410151}, {"parameter": "2, 2, o", "name": "Ahlswede_Aydinian", "value": 394400}, {"parameter": "2, 3, o", "name": "Ahlswede_Aydinian", "value": 394987}, {"parameter": "2, 4, o", "name": "Ahlswede_Aydinian", "value": 397945}, {"parameter": "2, 5, o", "name": "Ahlswede_Aydinian", "value": 413326}, {"parameter": "2, 6, o", "name": "Ahlswede_Aydinian", "value": 508431}, {"parameter": "", "name": "improved_johnson", "value": 391876}, {"parameter": "", "name": "HKK_theorem_3_3_i_upper_bound_cdc", "value": 391876}], "known_codes": [], "upper_bound": 391876, "classified": false, "lower_bound": 390626, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 390625}, {"parameter": "", "name": "sphere_covering", "value": 494}, {"parameter": "", "name": "graham_sloane", "value": 6}, {"parameter": "optimal [(0, 1, 2, 3), (0, 4, 5, 6)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 390626 with optimal [(0, 1, 2, 3), (0, 4, 5, 6)])", "name": "pending_dots", "value": 390626}, {"parameter": "optimal [(0, 1, 2, 3), (0, 4, 5, 6)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 390626 with optimal [(0, 1, 2, 3), (0, 4, 5, 6)])", "name": "echelon_ferrers", "value": 390626}, {"parameter": "", "name": "multicomponent", "value": 390626}, {"parameter": "[(0, 1, 2, 3), (1, 4, 6, 7)]", "name": "ef_computation", "value": 390626}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 390625}, {"parameter": "(4, 4)", "name": "CKMP2019_Lem_41", "value": 390626}, {"parameter": "(4, 4)", "name": "CKMP2019_Cor_42", "value": 390626}, {"parameter": "", "name": "construction_1", "value": 390626}, {"parameter": "4", "name": "linkage_GLT", "value": 390626}, {"parameter": "4", "name": "improved_linkage", "value": 390626}, {"parameter": "5", "name": "improved_linkage", "value": 626}, {"parameter": "4,0", "name": "generalized_linkage", "value": 390626}, {"parameter": "4,1", "name": "generalized_linkage", "value": 390626}, {"parameter": "5,1", "name": "generalized_linkage", "value": 626}, {"parameter": "[4, 4],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 390626}, {"parameter": "[4, 4],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 390626}, {"parameter": "[5, 3],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 626}, {"parameter": "", "name": "JohnsonLB", "value": 15621}, {"parameter": "", "name": "HKK_theorem_3_3_i_lower_bound_cdc", "value": 390626}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 15630}], "request": [5, 8, 6, 4], "liftedmrdsizebound": 390626, "comments": "", "equal_bound_constraints": []}