{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 90997618413507253345810}, {"parameter": "", "name": "singleton", "value": 321704819164}, {"parameter": "2", "name": "ilp_2", "value": 282860600751}, {"parameter": "3", "name": "ilp_2", "value": 152202763494980110}, {"parameter": "5", "name": "ilp_3", "value": 12328630051958712010}, {"parameter": "6", "name": "ilp_3", "value": 1855882892060622}, {"parameter": "", "name": "anticode", "value": 282860600751}, {"parameter": "", "name": "linear_programming_bound", "value": 282860600751}, {"parameter": "", "name": "sphere_packing", "value": 185613436292117}, {"parameter": "1", "name": "ilp_1", "value": 282860600751}, {"parameter": "7", "name": "ilp_4", "value": 1853619964726276}, {"parameter": "8", "name": "ilp_4", "value": 1853619964726276}, {"parameter": "9", "name": "ilp_4", "value": 22896209364209}, {"parameter": "", "name": "johnson_1", "value": 282860600751}, {"parameter": "", "name": "johnson_2", "value": 22896209364209}, {"parameter": "0, 4", "name": "Ahlswede_Aydinian", "value": 90997618413507253345810}, {"parameter": "0, 5", "name": "Ahlswede_Aydinian", "value": 12328630051958712010}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 1855882892060622}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 1853619964726276}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 1853619964726276}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 22896209364209}, {"parameter": "1, 3", "name": "Ahlswede_Aydinian", "value": 152202763494980110}, {"parameter": "1, 4", "name": "Ahlswede_Aydinian", "value": 185613436292117}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 183579251787716}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 183604096684818}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 20649173023386}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 2319464676243}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 286352700364}, {"parameter": "2, 2", "name": "Ahlswede_Aydinian", "value": 282860600751}, {"parameter": "2, 3", "name": "Ahlswede_Aydinian", "value": 282861120657}, {"parameter": "2, 4", "name": "Ahlswede_Aydinian", "value": 282865799883}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 282907919255}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 283287507372}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 286745929256}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 321704819164}, {"parameter": "0, 6, o", "name": "Ahlswede_Aydinian", "value": 90997618413507253345810}, {"parameter": "0, 7, o", "name": "Ahlswede_Aydinian", "value": 152202763494980110}, {"parameter": "0, 8, o", "name": "Ahlswede_Aydinian", "value": 282860600751}, {"parameter": "0, 9, o", "name": "Ahlswede_Aydinian", "value": 282860600751}, {"parameter": "1, 5, o", "name": "Ahlswede_Aydinian", "value": 12328630051958712010}, {"parameter": "1, 6, o", "name": "Ahlswede_Aydinian", "value": 185613436292117}, {"parameter": "1, 7, o", "name": "Ahlswede_Aydinian", "value": 185814889360108}, {"parameter": "1, 8, o", "name": "Ahlswede_Aydinian", "value": 187879467395961}, {"parameter": "1, 9, o", "name": "Ahlswede_Aydinian", "value": 208754610250906}, {"parameter": "2, 4, o", "name": "Ahlswede_Aydinian", "value": 1855882892060622}, {"parameter": "2, 5, o", "name": "Ahlswede_Aydinian", "value": 1856162270472792}, {"parameter": "2, 6, o", "name": "Ahlswede_Aydinian", "value": 1858680124789440}, {"parameter": "2, 7, o", "name": "Ahlswede_Aydinian", "value": 1881623641468121}, {"parameter": "2, 8, o", "name": "Ahlswede_Aydinian", "value": 2113887057661126}, {"parameter": "", "name": "improved_johnson", "value": 282860600743}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 22896554036105}], "known_codes": [], "upper_bound": 282860600743, "classified": false, "lower_bound": 282430068103, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 282429536481}, {"parameter": "", "name": "sphere_covering", "value": 37907505}, {"parameter": "", "name": "graham_sloane", "value": 59879}, {"parameter": "optimal [(0, 1, 2, 3), (0, 6, 7, 8), (1, 5, 8, 9), (2, 4, 5, 6), (3, 4, 7, 9)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 282430068013 with optimal [(0, 1, 2, 3), (0, 4, 7, 8), (1, 4, 5, 6), (2, 5, 7, 9), (3, 6, 8, 9)])", "name": "pending_dots", "value": 282429595541}, {"parameter": "optimal [(0, 1, 2, 3), (0, 5, 8, 9), (1, 6, 7, 8), (2, 4, 5, 6), (3, 4, 7, 9)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 282430068013 with optimal [(0, 1, 2, 3), (0, 5, 7, 9), (1, 4, 5, 6), (2, 6, 8, 9), (3, 4, 7, 8)])", "name": "echelon_ferrers", "value": 282429595541}, {"parameter": "", "name": "multicomponent", "value": 282429543043}, {"parameter": "[(0, 1, 2, 3), (0, 4, 5, 6), (1, 4, 7, 8), (2, 5, 7, 9), (3, 6, 8, 9)]", "name": "ef_computation", "value": 282430068013}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 282429536481}, {"parameter": "(4, 6)", "name": "CKMP2019_Lem_41", "value": 282429536482}, {"parameter": "(5, 5)", "name": "CKMP2019_Lem_41", "value": 3486784402}, {"parameter": "(6, 4)", "name": "CKMP2019_Lem_41", "value": 43046722}, {"parameter": "(4, 6)", "name": "CKMP2019_Cor_42", "value": 282429536482}, {"parameter": "(5, 5)", "name": "CKMP2019_Cor_42", "value": 3486784402}, {"parameter": "(6, 4)", "name": "CKMP2019_Cor_42", "value": 43046722}, {"parameter": "", "name": "construction_1", "value": 282430068103}, {"parameter": "4", "name": "linkage_GLT", "value": 282429536482}, {"parameter": "5", "name": "linkage_GLT", "value": 3486784402}, {"parameter": "6", "name": "linkage_GLT", "value": 43046722}, {"parameter": "4", "name": "improved_linkage", "value": 282429543043}, {"parameter": "5", "name": "improved_linkage", "value": 3486784402}, {"parameter": "6", "name": "improved_linkage", "value": 43046722}, {"parameter": "7", "name": "improved_linkage", "value": 43053283}, {"parameter": "4,0", "name": "generalized_linkage", "value": 282429536482}, {"parameter": "4,1", "name": "generalized_linkage", "value": 282429543043}, {"parameter": "5,0", "name": "generalized_linkage", "value": 3486784402}, {"parameter": "5,1", "name": "generalized_linkage", "value": 3486784402}, {"parameter": "6,0", "name": "generalized_linkage", "value": 43046722}, {"parameter": "6,1", "name": "generalized_linkage", "value": 43046722}, {"parameter": "7,1", "name": "generalized_linkage", "value": 43053283}, {"parameter": "[4, 6],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 282429536482}, {"parameter": "[4, 6],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 282429543043}, {"parameter": "[5, 5],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 3486784402}, {"parameter": "[5, 5],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 3486784402}, {"parameter": "[6, 4],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 43046722}, {"parameter": "[6, 4],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 43046722}, {"parameter": "[7, 3],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 43053283}, {"parameter": "[4, 3, 3],[0, 1, 1]", "name": "generalized_linkage_multipleblocks", "value": 43053283}, {"parameter": "", "name": "JohnsonLB", "value": 282424754332}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 43105779}], "request": [9, 10, 6, 4], "liftedmrdsizebound": 282430075294, "comments": "", "equal_bound_constraints": []}