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{"parameter": "0, 5, o", "name": "Ahlswede_Aydinian", "value": 43958970159454591899273}, {"parameter": "0, 6, o", "name": "Ahlswede_Aydinian", "value": 1173835620696269377}, {"parameter": "0, 7, o", "name": "Ahlswede_Aydinian", "value": 1173584862234874881}, {"parameter": "0, 8, o", "name": "Ahlswede_Aydinian", "value": 1173584855643525752}, {"parameter": "0, 9, o", "name": "Ahlswede_Aydinian", "value": 1173584855643324993}, {"parameter": "1, 4, o", "name": "Ahlswede_Aydinian", "value": 1173835620696269377}, {"parameter": "1, 5, o", "name": "Ahlswede_Aydinian", "value": 1173866959749036059}, {"parameter": "1, 6, o", "name": "Ahlswede_Aydinian", "value": 1174117732425700691}, {"parameter": "1, 7, o", "name": "Ahlswede_Aydinian", "value": 1176127777659216988}, {"parameter": "1, 8, o", "name": "Ahlswede_Aydinian", "value": 1192459340654299088}, {"parameter": "1, 9, o", "name": "Ahlswede_Aydinian", "value": 1341480367403783817}, {"parameter": "", "name": "improved_johnson", "value": 1173584855643324993}], "known_codes": [], "upper_bound": 1173584855643324993, "classified": false, "lower_bound": 1153247488967549440, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 1152921504606846976}, {"parameter": "", "name": "sphere_covering", "value": 250772689542627}, {"parameter": "", "name": "graham_sloane", "value": 286579869131337}, {"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: 1153207937202917888 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": 1153207937202917888}, {"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: 1153207937202917888 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": 1153207937202917888}, {"parameter": "", "name": "multicomponent", "value": 1152921505680588801}, {"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": 1153207937201156233}, {"parameter": "", "name": "CossidentePavese14_theorem311", "value": 1153247488833898633}, {"parameter": "", "name": "XuChen2018", "value": 1153247488833331711}, {"parameter": "", "name": "ChenHeWengXu2019_T41", "value": 1153247488833331711}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 1153247488833331712}, {"parameter": "", "name": "two_pivot_block_construction", "value": 1153203048303034368}, {"parameter": "", "name": "ChenHeWengXu2019_T31", "value": 1153247488833331711}, {"parameter": "(5,),(3,),(2,)", "name": "CKMP2019_Cor_45", "value": 1153247488967549440}, {"parameter": "(5,),(2,),(1,)", "name": "CKMP2019_Cor_45", "value": 1153247488967549440}, {"parameter": "(5, 5)", "name": "CKMP2019_Lem_41", "value": 1153247488833331712}, {"parameter": "(5, 5)", "name": "CKMP2019_Cor_42", "value": 1153247488833331712}, {"parameter": "5", "name": "linkage_GLT", "value": 1152921504606846977}, {"parameter": "5", "name": "improved_linkage", "value": 1152921505680893065}, {"parameter": "6", "name": "improved_linkage", "value": 35184372122113}, {"parameter": "7", "name": "improved_linkage", "value": 35735201644545}, {"parameter": "8", "name": "improved_linkage", "value": 35194342244353}, {"parameter": "5,0", "name": "generalized_linkage", "value": 1153247488833331712}, {"parameter": "5,1", "name": "generalized_linkage", "value": 1152921504762326392}, {"parameter": "5,2", "name": "generalized_linkage", "value": 1152921504609276489}, {"parameter": "5,3", "name": "generalized_linkage", "value": 1152921505680893065}, {"parameter": "6,1", "name": "generalized_linkage", "value": 35194341940088}, {"parameter": "6,2", "name": "generalized_linkage", "value": 35184372089417}, {"parameter": "6,3", "name": "generalized_linkage", "value": 35184372122113}, {"parameter": "7,2", "name": "generalized_linkage", "value": 35735201649225}, {"parameter": "7,3", "name": "generalized_linkage", "value": 35735201644545}, {"parameter": "8,3", "name": "generalized_linkage", "value": 35194342244353}, {"parameter": "[5, 5],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1153247488833331712}, {"parameter": "[5, 5],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 1152921504762326392}, {"parameter": "[5, 5],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 1152921504609276489}, {"parameter": "[5, 5],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 1152921505680893065}, {"parameter": "[6, 4],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 35194341940088}, {"parameter": "[6, 4],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 35184372089417}, {"parameter": "[6, 4],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 35184372122113}, {"parameter": "[7, 3],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 35735201649225}, {"parameter": "[7, 3],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 35735201644545}, {"parameter": "[8, 2],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 35194342244353}, {"parameter": "[5, 2, 3],[0, 3, 2]", "name": "generalized_linkage_multipleblocks", "value": 361169672315392}, {"parameter": "[5, 3, 2],[0, 2, 3]", "name": "generalized_linkage_multipleblocks", "value": 361168600965632}, {"parameter": "[5, 3, 2],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 361168598606336}, {"parameter": "", "name": "JohnsonLB", "value": 144154845963591720}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 144151726112543232}], "request": [8, 10, 4, 5], "liftedmrdsizebound": 1153253950565130320, "comments": "", "equal_bound_constraints": []}