{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 3309747}, {"parameter": "", "name": "singleton", "value": 97155}, {"parameter": "3", "name": "ilp_2", "value": 52535}, {"parameter": "5", "name": "ilp_3", "value": 106766}, {"parameter": "", "name": "anticode", "value": 52535}, {"parameter": "", "name": "linear_programming_bound", "value": 52535}, {"parameter": "", "name": "sphere_packing", "value": 3309747}, {"parameter": "1", "name": "ilp_1", "value": 50861}, {"parameter": "2", "name": "ilp_1", "value": 50881}, {"parameter": "6", "name": "ilp_4", "value": 106766}, {"parameter": "7", "name": "ilp_4", "value": 106766}, {"parameter": "8", "name": "ilp_4", "value": 106766}, {"parameter": "", "name": "johnson_1", "value": 50861}, {"parameter": "", "name": "johnson_2", "value": 106766}, {"parameter": "0, 4", "name": "Ahlswede_Aydinian", "value": 3309747}, {"parameter": "0, 5", "name": "Ahlswede_Aydinian", "value": 106766}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 106766}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 106766}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 106766}, {"parameter": "1, 3", "name": "Ahlswede_Aydinian", "value": 52535}, {"parameter": "1, 4", "name": "Ahlswede_Aydinian", "value": 53325}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 54979}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 58614}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 67545}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 97155}, {"parameter": "0, 5, o", "name": "Ahlswede_Aydinian", "value": 3309747}, {"parameter": "0, 6, o", "name": "Ahlswede_Aydinian", "value": 52535}, {"parameter": "0, 7, o", "name": "Ahlswede_Aydinian", "value": 50881}, {"parameter": "0, 8, o", "name": "Ahlswede_Aydinian", "value": 50861}, {"parameter": "1, 4, o", "name": "Ahlswede_Aydinian", "value": 106766}, {"parameter": "1, 5, o", "name": "Ahlswede_Aydinian", "value": 110206}, {"parameter": "1, 6, o", "name": "Ahlswede_Aydinian", "value": 117798}, {"parameter": "1, 7, o", "name": "Ahlswede_Aydinian", "value": 136620}, {"parameter": "1, 8, o", "name": "Ahlswede_Aydinian", "value": 200787}, {"parameter": "", "name": "improved_johnson", "value": 50861}], "known_codes": [{"nrisotypes": null, "details": "", "file": "", "size": 34944}, {"nrisotypes": null, "details": "", "file": "", "size": 36945}], "upper_bound": 50861, "classified": false, "lower_bound": 37265, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 32768}, {"parameter": "", "name": "sphere_covering", "value": 3556}, {"parameter": "", "name": "graham_sloane", "value": 6477}, {"parameter": "optimal [(0, 1, 2, 3), (0, 1, 4, 5), (0, 1, 6, 7), (0, 2, 4, 6), (0, 2, 4, 8), (0, 2, 5, 6), (0, 2, 5, 7), (0, 3, 4, 6), (0, 3, 4, 7), (0, 3, 5, 7), (0, 3, 5, 8), (0, 3, 6, 8), (1, 2, 4, 7), (1, 2, 5, 8), (1, 3, 4, 8), (1, 3, 5, 6), (1, 3, 7, 8), (1, 4, 6, 8), (2, 3, 4, 5), (2, 3, 6, 7), (4, 5, 6, 7)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 37265 with optimal [(0, 1, 2, 3), (0, 1, 4, 5), (0, 1, 6, 7), (0, 2, 4, 6), (0, 2, 4, 8), (0, 2, 5, 6), (0, 2, 5, 7), (0, 3, 4, 6), (0, 3, 4, 7), (0, 3, 5, 7), (0, 3, 5, 8), (0, 3, 6, 8), (1, 2, 4, 7), (1, 2, 5, 8), (1, 3, 4, 8), (1, 3, 5, 6), (1, 3, 7, 8), (1, 4, 6, 8), (2, 3, 4, 5), (2, 3, 6, 7), (4, 5, 6, 7)])", "name": "pending_dots", "value": 37265}, {"parameter": "optimal [(0, 1, 2, 3), (0, 1, 4, 5), (0, 1, 6, 7), (0, 2, 4, 6), (0, 2, 5, 7), (0, 3, 4, 7), (0, 3, 5, 6), (1, 2, 4, 7), (1, 2, 5, 6), (1, 3, 4, 6), (1, 3, 5, 7), (2, 3, 4, 5), (2, 3, 6, 7), (4, 5, 6, 7)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 36945 with optimal [(0, 1, 2, 3), (0, 1, 4, 5), (0, 1, 6, 7), (0, 2, 4, 6), (0, 2, 5, 7), (0, 3, 4, 7), (0, 3, 5, 6), (1, 2, 4, 7), (1, 2, 5, 6), (1, 3, 4, 6), (1, 3, 5, 7), (2, 3, 4, 5), (2, 3, 6, 7), (4, 5, 6, 7)])", "name": "echelon_ferrers", "value": 36945}, {"parameter": "", "name": "multicomponent", "value": 33025}, {"parameter": "[(0, 1, 2, 3), (0, 1, 4, 5), (0, 2, 4, 6), (1, 3, 4, 6), (2, 3, 4, 5), (1, 2, 5, 6), (1, 2, 4, 7), (0, 2, 5, 7), (0, 1, 6, 7), (0, 3, 5, 6), (0, 3, 4, 7), (1, 3, 5, 7), (2, 3, 6, 8), (4, 5, 6, 7)]", "name": "ef_computation", "value": 36945}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 33854}, {"parameter": "", "name": "two_pivot_block_construction", "value": 34944}, {"parameter": "", "name": "ChenHeWengXu2019_T31", "value": 4621}, {"parameter": "(5,),(2,),(1,)", "name": "CKMP2019_Cor_45", "value": 33422}, {"parameter": "(4,),(2,),(1,)", "name": "CKMP2019_Cor_45", "value": 5310}, {"parameter": "(4, 5)", "name": "CKMP2019_Lem_41", "value": 33294}, {"parameter": "(5, 4)", "name": "CKMP2019_Lem_41", "value": 5182}, {"parameter": "(4, 5)", "name": "CKMP2019_Cor_42", "value": 33294}, {"parameter": "(5, 4)", "name": "CKMP2019_Cor_42", "value": 5182}, {"parameter": "4", "name": "linkage_GLT", "value": 32769}, {"parameter": "5", "name": "linkage_GLT", "value": 4097}, {"parameter": "4", "name": "improved_linkage", "value": 33101}, {"parameter": "5", "name": "improved_linkage", "value": 4117}, {"parameter": "6", "name": "improved_linkage", "value": 5377}, {"parameter": "7", "name": "improved_linkage", "value": 5329}, {"parameter": "4,0", "name": "generalized_linkage", "value": 33294}, {"parameter": "4,1", "name": "generalized_linkage", "value": 32915}, {"parameter": "4,2", "name": "generalized_linkage", "value": 33101}, {"parameter": "5,0", "name": "generalized_linkage", "value": 5182}, {"parameter": "5,1", "name": "generalized_linkage", "value": 4111}, {"parameter": "5,2", "name": "generalized_linkage", "value": 4117}, {"parameter": "6,1", "name": "generalized_linkage", "value": 5391}, {"parameter": "6,2", "name": "generalized_linkage", "value": 5377}, {"parameter": "7,2", "name": "generalized_linkage", "value": 5329}, {"parameter": "[4, 5],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 33294}, {"parameter": "[4, 5],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 32915}, {"parameter": "[4, 5],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 33101}, {"parameter": "[5, 4],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 5182}, {"parameter": "[5, 4],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 4111}, {"parameter": "[5, 4],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 4117}, {"parameter": "[6, 3],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 5391}, {"parameter": "[6, 3],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 5377}, {"parameter": "[7, 2],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 5329}, {"parameter": "[4, 2, 3],[0, 2, 1]", "name": "generalized_linkage_multipleblocks", "value": 4878}, {"parameter": "[4, 2, 3],[0, 2, 2]", "name": "generalized_linkage_multipleblocks", "value": 4878}, {"parameter": "[4, 3, 2],[0, 1, 2]", "name": "generalized_linkage_multipleblocks", "value": 4734}, {"parameter": "[4, 3, 2],[0, 2, 2]", "name": "generalized_linkage_multipleblocks", "value": 4638}, {"parameter": "[5, 2, 2],[0, 2, 2]", "name": "generalized_linkage_multipleblocks", "value": 1358}, {"parameter": "", "name": "JohnsonLB", "value": 35722}, {"parameter": "", "name": "JohnsonLB_special", "value": 35722}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 11972}], "request": [2, 9, 4, 4], "liftedmrdsizebound": 38969, "comments": "", "equal_bound_constraints": []}