{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 54418806485048320298126020637699477339315297310345}, {"parameter": "", "name": "singleton", "value": 9817068105}, {"parameter": "1", "name": "ilp_2", "value": 8590196744}, {"parameter": "2", "name": "ilp_2", "value": 73807247510907949057}, {"parameter": "3", "name": "ilp_2", "value": 635240131916759855745456181761}, {"parameter": "4", "name": "ilp_2", "value": 5543285011675929521131301211208158093889}, {"parameter": "6", "name": "ilp_3", "value": 1453144449385786544316964956012162603522531905}, {"parameter": "7", "name": "ilp_3", "value": 43653556806975059159769035338307181515265}, {"parameter": "8", "name": "ilp_3", "value": 1329598954794598223283302804301844481}, {"parameter": "9", "name": "ilp_3", "value": 40566233995930207671786342974024}, {"parameter": "", "name": "anticode", "value": 8590196744}, {"parameter": "", "name": "linear_programming_bound", "value": 8590196744}, {"parameter": "", "name": "sphere_packing", "value": 2087785754427244733764635}, {"parameter": "", "name": "DrakeFreeman", "value": 8590196740}, {"parameter": "", "name": "partial_spread_5", "value": 8590196743}, {"parameter": "", "name": "partial_spread_kurz16_28", "value": 8590196737}, {"parameter": "", "name": "spread_bound", "value": 8590196744}, {"parameter": "", "name": "XiaFuJohnson1", "value": 8590196744}, {"parameter": "10", "name": "ilp_4", "value": 40566233995930207671786342974024}, {"parameter": "11", "name": "ilp_4", "value": 9903563489898970968895598941}, {"parameter": "12", "name": "ilp_4", "value": 2417880626926682628884933}, {"parameter": "13", "name": "ilp_4", "value": 590304857758778071838}, {"parameter": "14", "name": "ilp_4", "value": 144117460264548172}, {"parameter": "15", "name": "ilp_4", "value": 35185445867520}, {"parameter": "", "name": "johnson_1", "value": 8590196744}, {"parameter": "", "name": "johnson_2", "value": 35185445867520}, {"parameter": "0, 5", "name": "Ahlswede_Aydinian", "value": 54418806485048320298126020637699477339315297310345}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 1453144449385786544316964956012162603522531905}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 43653556806975059159769035338307181515265}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 1329598954794598223283302804301844481}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 40566233995930207671786342974024}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 40566233995930207671786342974024}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 9903563489898970968895598941}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 2417880626926682628884933}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 590304857758778071838}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 144117460264548172}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 35185445867520}, {"parameter": "1, 4", "name": "Ahlswede_Aydinian", "value": 5543285011675929521131301211208158093889}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 1184209573219497284471664172108662899}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 284597350200507593943016781688125}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 69346101878380538977734741475}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 69346105494289172344386471837}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 135408610932208271354503006}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 264491002847116128634116}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 516605417198458853144}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 1009329836396790898}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 1974722091255499}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 3910435297101}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 8592032008}, {"parameter": "2, 3", "name": "Ahlswede_Aydinian", "value": 635240131916759855745456181761}, {"parameter": "2, 4", "name": "Ahlswede_Aydinian", "value": 1085880567503301892562805208}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 2087785754427244733764635}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 2087785769713235987038488}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 32558078176900489079362}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 509092731471530163952}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 7962121589871390837}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 124411407213294162}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 1944397505202245}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 30439692342669}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 483038827892}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 8606744609}, {"parameter": "3, 2", "name": "Ahlswede_Aydinian", "value": 73807247510907949057}, {"parameter": "3, 3", "name": "Ahlswede_Aydinian", "value": 1011058185196794368}, {"parameter": "3, 4", "name": "Ahlswede_Aydinian", "value": 1011058186123702848}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 124441254465156739}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 15767411334941586}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 1970453687893953}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 246359441833593}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 30795739718271}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 3850405465364}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 482227790093}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 61220098063}, {"parameter": "3, 13", "name": "Ahlswede_Aydinian", "value": 8726282753}, {"parameter": "4, 1", "name": "Ahlswede_Aydinian", "value": 8590196744}, {"parameter": "4, 2", "name": "Ahlswede_Aydinian", "value": 8590196744}, {"parameter": "4, 3", "name": "Ahlswede_Aydinian", "value": 8590196751}, {"parameter": "4, 4", "name": "Ahlswede_Aydinian", "value": 8590196808}, {"parameter": "4, 5", "name": "Ahlswede_Aydinian", "value": 8590197263}, {"parameter": "4, 6", "name": "Ahlswede_Aydinian", "value": 8590200904}, {"parameter": "4, 7", "name": "Ahlswede_Aydinian", "value": 8590230025}, {"parameter": "4, 8", "name": "Ahlswede_Aydinian", "value": 8590462999}, {"parameter": "4, 9", "name": "Ahlswede_Aydinian", "value": 8592327192}, {"parameter": "4, 10", "name": "Ahlswede_Aydinian", "value": 8607266315}, {"parameter": "4, 11", "name": "Ahlswede_Aydinian", "value": 8728439103}, {"parameter": "4, 12", "name": "Ahlswede_Aydinian", "value": 9817068105}, {"parameter": "0, 11, o", "name": "Ahlswede_Aydinian", "value": 54418806485048320298126020637699477339315297310345}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 5543285011675929521131301211208158093889}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 635240131916759855745456181761}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 73807247510907949057}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 8590196744}, {"parameter": "1, 10, o", "name": "Ahlswede_Aydinian", "value": 1453144449385786544316964956012162603522531905}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 1184209573219497284471664172108662899}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 1085880567503301892562805208}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 1011058185196794368}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 1025100626558564608}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 1153238204759048221}, {"parameter": "2, 9, o", "name": "Ahlswede_Aydinian", "value": 43653556806975059159769035338307181515265}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 284597350200507593943016781688125}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 2087785754427244733764635}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 2091807601958726411393173}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 2124492095522500837351135}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 2423248794198534818894377}, {"parameter": "3, 8, o", "name": "Ahlswede_Aydinian", "value": 1329598954794598223283302804301844481}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 69346101878380538977734741475}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 69363003137638794391902933073}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 69498477746059240293899544412}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 70599473537323938918470504629}, {"parameter": "3, 13, o", "name": "Ahlswede_Aydinian", "value": 80665413490913579432812552257}, {"parameter": "4, 7, o", "name": "Ahlswede_Aydinian", "value": 40566233995930207671786342974024}, {"parameter": "4, 8, o", "name": "Ahlswede_Aydinian", "value": 40567471714159165821466086025095}, {"parameter": "4, 9, o", "name": "Ahlswede_Aydinian", "value": 40577375877924670101761052724409}, {"parameter": "4, 10, o", "name": "Ahlswede_Aydinian", "value": 40656764238646307563693101957484}, {"parameter": "4, 11, o", "name": "Ahlswede_Aydinian", "value": 41301951873707490364948740571984}, {"parameter": "4, 12, o", "name": "Ahlswede_Aydinian", "value": 47200787357710533846587480462985}, {"parameter": "", "name": "improved_johnson", "value": 8590196737}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 144120136031273029}], "known_codes": [], "upper_bound": 8590196737, "classified": false, "lower_bound": 8590196737, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 8589934592}, {"parameter": "", "name": "sphere_covering", "value": 1835121}, {"parameter": "", "name": "graham_sloane", "value": 1}, {"parameter": "", "name": "partial_spread_3", "value": 8590196737}, {"parameter": "", "name": "multicomponent", "value": 8590196737}, {"parameter": "[(0, 1, 2, 3, 4), (5, 6, 7, 8, 9), (11, 12, 13, 14, 15)]", "name": "ef_computation", "value": 8590196737}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 8589934592}, {"parameter": "(5, 11)", "name": "CKMP2019_Lem_41", "value": 8590196737}, {"parameter": "(6, 10)", "name": "CKMP2019_Lem_41", "value": 1073774593}, {"parameter": "(7, 9)", "name": "CKMP2019_Lem_41", "value": 134217729}, {"parameter": "(8, 8)", "name": "CKMP2019_Lem_41", "value": 16777217}, {"parameter": "(9, 7)", "name": "CKMP2019_Lem_41", "value": 2097153}, {"parameter": "(10, 6)", "name": "CKMP2019_Lem_41", "value": 8590196737}, {"parameter": "(11, 5)", "name": "CKMP2019_Lem_41", "value": 8589967361}, {"parameter": "(5, 5, 6)", "name": "CKMP2019_Lem_41", "value": 8590196737}, {"parameter": "(5, 6, 5)", "name": "CKMP2019_Lem_41", "value": 8589967361}, {"parameter": "(6, 5, 5)", "name": "CKMP2019_Lem_41", "value": 1073774593}, {"parameter": "(5, 11)", "name": "CKMP2019_Cor_42", "value": 8590196737}, {"parameter": "(6, 10)", "name": "CKMP2019_Cor_42", "value": 1073774593}, {"parameter": "(7, 9)", "name": "CKMP2019_Cor_42", "value": 134217729}, {"parameter": "(8, 8)", "name": "CKMP2019_Cor_42", "value": 16777217}, {"parameter": "(9, 7)", "name": "CKMP2019_Cor_42", "value": 2097153}, {"parameter": "(10, 6)", "name": "CKMP2019_Cor_42", "value": 8590196737}, {"parameter": "(11, 5)", "name": "CKMP2019_Cor_42", "value": 8589967361}, {"parameter": "(5, 5, 6)", "name": "CKMP2019_Cor_42", "value": 8590196737}, {"parameter": "(5, 6, 5)", "name": "CKMP2019_Cor_42", "value": 8589967361}, {"parameter": "(6, 5, 5)", "name": "CKMP2019_Cor_42", "value": 1073774593}, {"parameter": "5", "name": "linkage_GLT", "value": 8590196737}, {"parameter": "6", "name": "linkage_GLT", "value": 1073774593}, {"parameter": "7", "name": "linkage_GLT", "value": 134217729}, {"parameter": "8", "name": "linkage_GLT", "value": 16777217}, {"parameter": "9", "name": "linkage_GLT", "value": 2097153}, {"parameter": "10", "name": "linkage_GLT", "value": 8590196737}, {"parameter": "11", "name": "linkage_GLT", "value": 8589967361}, {"parameter": "5", "name": "improved_linkage", "value": 8590196737}, {"parameter": "6", "name": "improved_linkage", "value": 1073774593}, {"parameter": "7", "name": "improved_linkage", "value": 134217729}, {"parameter": "8", "name": "improved_linkage", "value": 16777217}, {"parameter": "9", "name": "improved_linkage", "value": 2097153}, {"parameter": "10", "name": "improved_linkage", "value": 8590196737}, {"parameter": "11", "name": "improved_linkage", "value": 8589967361}, {"parameter": "5,0", "name": "generalized_linkage", "value": 8590196737}, {"parameter": "6,0", "name": "generalized_linkage", "value": 1073774593}, {"parameter": "7,0", "name": "generalized_linkage", "value": 134217729}, {"parameter": "8,0", "name": "generalized_linkage", "value": 16777217}, {"parameter": "9,0", "name": "generalized_linkage", "value": 2097153}, {"parameter": "10,0", "name": "generalized_linkage", "value": 8590196737}, {"parameter": "11,0", "name": "generalized_linkage", "value": 8589967361}, {"parameter": "[5, 11],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8590196737}, {"parameter": "[6, 10],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1073774593}, {"parameter": "[7, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 134217729}, {"parameter": "[8, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 16777217}, {"parameter": "[9, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 2097153}, {"parameter": "[10, 6],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8590196737}, {"parameter": "[11, 5],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8589967361}, {"parameter": "[5, 5, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8590196737}, {"parameter": "[5, 6, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 8589967361}, {"parameter": "[6, 5, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1073774593}, {"parameter": "", "name": "JohnsonLB", "value": 8589901832}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 8}], "request": [8, 16, 10, 5], "liftedmrdsizebound": 8590196737, "comments": "", "equal_bound_constraints": [{"parameter": "", "name": "partial_spread_2", "value": 8590196737}, {"parameter": "", "name": "partial_spread_NS", "value": 8590196737}]}