{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 1506472167928}, {"parameter": "", "name": "singleton", "value": 6174066262}, {"parameter": "4", "name": "ilp_2", "value": 4138659802}, {"parameter": "6", "name": "ilp_3", "value": 4138659802}, {"parameter": "", "name": "anticode", "value": 4138659802}, {"parameter": "", "name": "linear_programming_bound", "value": 4138659802}, {"parameter": "", "name": "sphere_packing", "value": 1506472167928}, {"parameter": "1", "name": "ilp_1", "value": 4104497728}, {"parameter": "2", "name": "ilp_1", "value": 4104498057}, {"parameter": "3", "name": "ilp_1", "value": 4104581176}, {"parameter": "7", "name": "ilp_4", "value": 4104581176}, {"parameter": "8", "name": "ilp_4", "value": 4104498057}, {"parameter": "9", "name": "ilp_4", "value": 4104497728}, {"parameter": "", "name": "johnson_1", "value": 4104497728}, {"parameter": "", "name": "johnson_2", "value": 4104497728}, {"parameter": "0, 5", "name": "Ahlswede_Aydinian", 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"0, 8, o", "name": "Ahlswede_Aydinian", "value": 4104498057}, {"parameter": "0, 9, o", "name": "Ahlswede_Aydinian", "value": 4104497728}, {"parameter": "1, 4, o", "name": "Ahlswede_Aydinian", "value": 4138659802}, {"parameter": "1, 5, o", "name": "Ahlswede_Aydinian", "value": 4149966585}, {"parameter": "1, 6, o", "name": "Ahlswede_Aydinian", "value": 4184260681}, {"parameter": "1, 7, o", "name": "Ahlswede_Aydinian", "value": 4290630174}, {"parameter": "1, 8, o", "name": "Ahlswede_Aydinian", "value": 4644866280}, {"parameter": "1, 9, o", "name": "Ahlswede_Aydinian", "value": 6174066262}, {"parameter": "", "name": "improved_johnson", "value": 4104497728}], "known_codes": [], "upper_bound": 4104497728, "classified": false, "lower_bound": 3554738325, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 3486784401}, {"parameter": "", "name": "sphere_covering", "value": 34297245}, {"parameter": "", "name": "graham_sloane", "value": 51025342}, {"parameter": "optimal [(0, 1, 2, 3, 4), (0, 1, 2, 5, 6), (0, 1, 2, 7, 8), (0, 1, 3, 5, 7), (0, 1, 3, 6, 8), (0, 1, 4, 5, 8), (0, 1, 4, 6, 7), (0, 2, 3, 5, 8), (0, 2, 3, 6, 7), (0, 2, 4, 5, 7), (0, 2, 4, 6, 8), (0, 3, 4, 5, 6), (0, 3, 4, 7, 8), (0, 5, 6, 7, 8), (1, 2, 3, 5, 9), (1, 2, 4, 6, 9), (1, 3, 4, 7, 9), (1, 5, 6, 7, 9), (2, 3, 4, 8, 9), (2, 5, 6, 8, 9), (3, 5, 7, 8, 9), (4, 6, 7, 8, 9)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 3539131096 with optimal [(0, 1, 2, 3, 4), (0, 1, 2, 5, 6), (0, 1, 2, 7, 8), (0, 1, 3, 5, 7), (0, 1, 3, 6, 8), (0, 1, 4, 5, 8), (0, 1, 4, 6, 7), (0, 2, 3, 5, 8), (0, 2, 3, 6, 7), (0, 2, 4, 5, 7), (0, 2, 4, 6, 8), (0, 3, 4, 5, 6), (0, 3, 4, 7, 8), (0, 5, 6, 7, 8), (1, 2, 3, 5, 9), (1, 2, 4, 6, 9), (1, 3, 4, 7, 9), (1, 5, 6, 7, 9), (2, 3, 4, 8, 9), (2, 5, 6, 8, 9), (3, 5, 7, 8, 9), (4, 6, 7, 8, 9)])", "name": "pending_dots", "value": 3539131096}, {"parameter": "optimal [(0, 1, 2, 3, 4), (0, 1, 2, 5, 6), (0, 1, 2, 7, 8), (0, 1, 3, 5, 7), (0, 1, 3, 6, 8), (0, 1, 4, 5, 8), (0, 1, 4, 6, 7), (0, 2, 3, 5, 8), (0, 2, 3, 6, 7), (0, 2, 4, 5, 7), (0, 2, 4, 6, 8), (0, 3, 4, 5, 6), (0, 3, 4, 7, 8), (0, 5, 6, 7, 8), (1, 2, 3, 5, 9), (1, 2, 4, 6, 9), (1, 3, 4, 7, 9), (1, 5, 6, 7, 9), (2, 3, 4, 8, 9), (2, 5, 6, 8, 9), (3, 5, 7, 8, 9), (4, 6, 7, 8, 9)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 3539131096 with optimal [(0, 1, 2, 3, 4), (0, 1, 2, 5, 6), (0, 1, 2, 7, 8), (0, 1, 3, 5, 7), (0, 1, 3, 6, 8), (0, 1, 4, 5, 8), (0, 1, 4, 6, 7), (0, 2, 3, 5, 8), (0, 2, 3, 6, 7), (0, 2, 4, 5, 7), (0, 2, 4, 6, 8), (0, 3, 4, 5, 6), (0, 3, 4, 7, 8), (0, 5, 6, 7, 8), (1, 2, 3, 5, 9), (1, 2, 4, 6, 9), (1, 3, 4, 7, 9), (1, 5, 6, 7, 9), (2, 3, 4, 8, 9), (2, 5, 6, 8, 9), (3, 5, 7, 8, 9), (4, 6, 7, 8, 9)])", "name": "echelon_ferrers", "value": 3539131096}, {"parameter": "", "name": "multicomponent", "value": 3486843451}, {"parameter": "[(0, 1, 2, 3, 4), (0, 1, 2, 5, 6), (0, 1, 3, 5, 7), (0, 1, 3, 6, 8), (0, 3, 4, 5, 6), (0, 2, 4, 5, 7), (0, 1, 4, 6, 7), (0, 1, 4, 5, 8), (0, 1, 2, 7, 8), (0, 2, 3, 6, 7), (0, 2, 3, 5, 8), (1, 2, 3, 5, 9), (0, 2, 4, 6, 8), (1, 2, 4, 6, 9), (0, 3, 4, 7, 8), (2, 3, 4, 7, 9), (1, 3, 4, 8, 9), (1, 3, 6, 7, 9), (1, 4, 5, 7, 9), (2, 4, 5, 8, 9), (2, 3, 6, 8, 9), (0, 5, 6, 7, 8), (1, 5, 6, 8, 9), (2, 5, 6, 7, 9), (3, 5, 7, 8, 9), (4, 6, 7, 8, 9)]", "name": "ef_computation", "value": 3539130268}, {"parameter": "", "name": "CossidentePavese14_theorem311", "value": 3554720608}, {"parameter": "", "name": "XuChen2018", "value": 3554718641}, {"parameter": "", "name": "ChenHeWengXu2019_T41", "value": 3554718641}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 3554718642}, {"parameter": "", "name": "two_pivot_block_construction", "value": 3530362563}, {"parameter": "", "name": "ChenHeWengXu2019_T31", "value": 3554718641}, {"parameter": "(5,),(3,),(2,)", "name": "CKMP2019_Cor_45", "value": 3554738325}, {"parameter": "(5,),(2,),(1,)", "name": "CKMP2019_Cor_45", "value": 3554738325}, {"parameter": "(5, 5)", "name": "CKMP2019_Lem_41", "value": 3554718642}, {"parameter": "(5, 5)", "name": "CKMP2019_Cor_42", "value": 3554718642}, {"parameter": "5", "name": "linkage_GLT", "value": 3486784402}, {"parameter": "5", "name": "improved_linkage", "value": 3486844660}, {"parameter": "6", "name": "improved_linkage", "value": 14349178}, {"parameter": "7", "name": "improved_linkage", "value": 16002280}, {"parameter": "8", "name": "improved_linkage", "value": 14642938}, {"parameter": "5,0", "name": "generalized_linkage", "value": 3554718642}, {"parameter": "5,1", "name": "generalized_linkage", "value": 3486815862}, {"parameter": "5,2", "name": "generalized_linkage", "value": 3486787924}, {"parameter": "5,3", "name": "generalized_linkage", "value": 3486844660}, {"parameter": "6,1", "name": "generalized_linkage", "value": 14641728}, {"parameter": "6,2", "name": "generalized_linkage", "value": 14348947}, {"parameter": "6,3", "name": "generalized_linkage", "value": 14349178}, {"parameter": "7,2", "name": "generalized_linkage", "value": 16002400}, {"parameter": "7,3", "name": "generalized_linkage", "value": 16002280}, {"parameter": "8,3", "name": "generalized_linkage", "value": 14642938}, {"parameter": "[5, 5],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 3554718642}, {"parameter": "[5, 5],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 3486815862}, {"parameter": "[5, 5],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 3486787924}, {"parameter": "[5, 5],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 3486844660}, {"parameter": "[6, 4],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 14641728}, {"parameter": "[6, 4],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 14348947}, {"parameter": "[6, 4],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 14349178}, {"parameter": "[7, 3],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 16002400}, {"parameter": "[7, 3],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 16002280}, {"parameter": "[8, 2],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 14642938}, {"parameter": "[5, 2, 3],[0, 3, 2]", "name": "generalized_linkage_multipleblocks", "value": 82342197}, {"parameter": "[5, 3, 2],[0, 2, 3]", "name": "generalized_linkage_multipleblocks", "value": 82286307}, {"parameter": "[5, 3, 2],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 82283391}, {"parameter": "", "name": "JohnsonLB", "value": 1181898527}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 1182655110}], "request": [3, 10, 4, 5], "liftedmrdsizebound": 3568886745, "comments": "", "equal_bound_constraints": []}