{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 2023626625677358635370594553459738022117861}, {"parameter": "", "name": "singleton", "value": 357913941}, {"parameter": "1", "name": "ilp_2", "value": 268697856}, {"parameter": "2", "name": "ilp_2", "value": 72410886593199484}, {"parameter": "3", "name": "ilp_2", "value": 19746183477717709168943199}, {"parameter": "4", "name": "ilp_2", "value": 5653947482524461474862177982219860}, {"parameter": "6", "name": "ilp_3", "value": 1482510348481581417853915423780027855031}, {"parameter": "7", "name": "ilp_3", "value": 1357361608205073629238157318970909956}, {"parameter": "8", "name": "ilp_3", "value": 1304856661584186139345447640118521}, {"parameter": "9", "name": "ilp_3", "value": 1269301292439498539091599425619}, {"parameter": "", "name": "anticode", "value": 268697856}, {"parameter": "", "name": "linear_programming_bound", "value": 268697856}, {"parameter": "", "name": "sphere_packing", "value": 3406276318522481926718}, {"parameter": "", "name": "DrakeFreeman", "value": 268697737}, {"parameter": "", "name": "partial_spread_5", "value": 268697855}, {"parameter": "4", "name": "partial_spread_HKK16_T10", "value": 268697828}, {"parameter": "5", "name": "partial_spread_HKK16_T10", "value": 268697737}, {"parameter": "", "name": "partial_spread_NS_2_Theorem6", "value": 268697846}, {"parameter": "", "name": "spread_bound", "value": 268697856}, {"parameter": "", "name": "XiaFuJohnson1", "value": 268697856}, {"parameter": "10", "name": "ilp_4", "value": 1269301292439498539091599425619}, {"parameter": "11", "name": "ilp_4", "value": 4953371783056821850048173243}, {"parameter": "12", "name": "ilp_4", "value": 19347928704929849768114486}, {"parameter": "13", "name": "ilp_4", "value": 75595141241179707423606}, {"parameter": "14", "name": "ilp_4", "value": 295302528230044365409}, {"parameter": "15", "name": "ilp_4", "value": 1154048869097629925}, {"parameter": "16", "name": "ilp_4", "value": 4507999099944730}, {"parameter": "17", "name": "ilp_4", "value": 17609370435583}, {"parameter": "18", "name": "ilp_4", "value": 68786618623}, {"parameter": "", "name": "johnson_1", "value": 268697856}, {"parameter": "", "name": "johnson_2", "value": 68786618623}, {"parameter": "0, 5", "name": "Ahlswede_Aydinian", "value": 2023626625677358635370594553459738022117861}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 1482510348481581417853915423780027855031}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 1357361608205073629238157318970909956}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 1304856661584186139345447640118521}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 1269301292439498539091599425619}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 1269301292439498539091599425619}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 4953371783056821850048173243}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 19347928704929849768114486}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 75595141241179707423606}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 295302528230044365409}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 1154048869097629925}, {"parameter": "0, 16", "name": "Ahlswede_Aydinian", "value": 4507999099944730}, {"parameter": "0, 17", "name": "Ahlswede_Aydinian", "value": 17609370435583}, {"parameter": "0, 18", "name": "Ahlswede_Aydinian", "value": 68786618623}, {"parameter": "1, 4", "name": "Ahlswede_Aydinian", "value": 5653947482524461474862177982219860}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 16580491197287633298484539104086}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 60734400666833916105625142863}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 233551084206580979332821095}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 233551125846309350925347838}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 3635049970482921107457130}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 56811704825764721342118}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 888180027567430155028}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 13903805950418080278}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 217283337515621075}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 3397537111042996}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 53242308306531}, {"parameter": "1, 16", "name": "Ahlswede_Aydinian", "value": 841791265166}, {"parameter": "1, 17", "name": "Ahlswede_Aydinian", "value": 13808580362}, {"parameter": "1, 18", "name": "Ahlswede_Aydinian", "value": 269488134}, {"parameter": "2, 3", "name": "Ahlswede_Aydinian", "value": 19746183477717709168943199}, {"parameter": "2, 4", "name": "Ahlswede_Aydinian", "value": 232308041716107436376616}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 3406276318522481926718}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 3406276506623714575867}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 209626658187383430500}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 13152745683355114627}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 827620029933944438}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 51714552312981684}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 3232536545328052}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 202100492322346}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 12642672543180}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 793038470195}, {"parameter": "2, 15", "name": "Ahlswede_Aydinian", "value": 50293720939}, {"parameter": "2, 16", "name": "Ahlswede_Aydinian", "value": 3337324782}, {"parameter": "2, 17", "name": "Ahlswede_Aydinian", "value": 272696329}, {"parameter": "3, 2", "name": "Ahlswede_Aydinian", "value": 72410886593199484}, {"parameter": "3, 3", "name": "Ahlswede_Aydinian", "value": 3448137468861504}, {"parameter": "3, 4", "name": "Ahlswede_Aydinian", "value": 3448137517031428}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 811921334096205}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 212348704073410}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 52892907222450}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 13259701848056}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 3314214169160}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 828743220600}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 207230272626}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 51855599387}, {"parameter": "3, 13", "name": "Ahlswede_Aydinian", "value": 13011538616}, {"parameter": "3, 14", "name": "Ahlswede_Aydinian", "value": 3301247701}, {"parameter": "3, 15", "name": "Ahlswede_Aydinian", "value": 876691779}, {"parameter": "3, 16", "name": "Ahlswede_Aydinian", "value": 286331153}, {"parameter": "4, 1", "name": "Ahlswede_Aydinian", "value": 268697856}, {"parameter": "4, 2", "name": "Ahlswede_Aydinian", "value": 268697857}, {"parameter": "4, 3", "name": "Ahlswede_Aydinian", "value": 268697860}, {"parameter": "4, 4", "name": "Ahlswede_Aydinian", "value": 268697873}, {"parameter": "4, 5", "name": "Ahlswede_Aydinian", "value": 268697924}, {"parameter": "4, 6", "name": "Ahlswede_Aydinian", "value": 268698128}, {"parameter": "4, 7", "name": "Ahlswede_Aydinian", "value": 268698945}, {"parameter": "4, 8", "name": "Ahlswede_Aydinian", "value": 268702212}, {"parameter": "4, 9", "name": "Ahlswede_Aydinian", "value": 268715281}, {"parameter": "4, 10", "name": "Ahlswede_Aydinian", "value": 268767569}, {"parameter": "4, 11", "name": "Ahlswede_Aydinian", "value": 268976877}, {"parameter": "4, 12", "name": "Ahlswede_Aydinian", "value": 269816606}, {"parameter": "4, 13", "name": "Ahlswede_Aydinian", "value": 273215966}, {"parameter": "4, 14", "name": "Ahlswede_Aydinian", "value": 287491910}, {"parameter": "4, 15", "name": "Ahlswede_Aydinian", "value": 357913941}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 2023626625677358635370594553459738022117861}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 5653947482524461474862177982219860}, {"parameter": "0, 16, o", "name": "Ahlswede_Aydinian", "value": 19746183477717709168943199}, {"parameter": "0, 17, o", "name": "Ahlswede_Aydinian", "value": 72410886593199484}, {"parameter": "0, 18, o", "name": "Ahlswede_Aydinian", "value": 268697856}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 1482510348481581417853915423780027855031}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 16580491197287633298484539104086}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 232308041716107436376616}, {"parameter": "1, 16, o", "name": "Ahlswede_Aydinian", "value": 3448137468861504}, {"parameter": "1, 17, o", "name": "Ahlswede_Aydinian", "value": 3620544178398886}, {"parameter": "1, 18, o", "name": "Ahlswede_Aydinian", "value": 4525680209514317}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 1357361608205073629238157318970909956}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 60734400666833916105625142863}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 3406276318522481926718}, {"parameter": "2, 15, o", "name": "Ahlswede_Aydinian", "value": 3456964951906647817728}, {"parameter": "2, 16, o", "name": "Ahlswede_Aydinian", "value": 3673025250978150501520}, {"parameter": "2, 17, o", "name": "Ahlswede_Aydinian", "value": 4820845570090162869569}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 1304856661584186139345447640118521}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 233551084206580979332821095}, {"parameter": "3, 13, o", "name": "Ahlswede_Aydinian", "value": 234452492227545780599696115}, {"parameter": "3, 14, o", "name": "Ahlswede_Aydinian", "value": 238115811750838789007669132}, {"parameter": "3, 15, o", "name": "Ahlswede_Aydinian", "value": 253742158872883650151860519}, {"parameter": "3, 16, o", "name": "Ahlswede_Aydinian", "value": 337001283667012899415009617}, {"parameter": "4, 10, o", "name": "Ahlswede_Aydinian", "value": 1269301292439498539091599425619}, {"parameter": "4, 11, o", "name": "Ahlswede_Aydinian", "value": 1270537208548058170576185753704}, {"parameter": "4, 12, o", "name": "Ahlswede_Aydinian", "value": 1275500240952628981211805922354}, {"parameter": "4, 13, o", "name": "Ahlswede_Aydinian", "value": 1295667175740391858962784108451}, {"parameter": "4, 14, o", "name": "Ahlswede_Aydinian", "value": 1381707507476370980791844781586}, {"parameter": "4, 15, o", "name": "Ahlswede_Aydinian", "value": 1840477112202685809580351554021}, {"parameter": "", "name": "improved_johnson", "value": 268697853}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 1127275169001516}], "known_codes": [], "upper_bound": 268697737, "classified": false, "lower_bound": 268697601, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 268435456}, {"parameter": "", "name": "sphere_covering", "value": 787971}, {"parameter": "", "name": "graham_sloane", "value": 1}, {"parameter": "", "name": "partial_spread_3", "value": 268697601}, {"parameter": "", "name": "multicomponent", "value": 268697601}, {"parameter": "[(0, 1, 2, 3, 4), (5, 6, 7, 8, 9), (12, 13, 15, 16, 17)]", "name": "ef_computation", "value": 268697601}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 268435456}, {"parameter": "(5, 14)", "name": "CKMP2019_Lem_41", "value": 268697601}, {"parameter": "(6, 13)", "name": "CKMP2019_Lem_41", "value": 67174401}, {"parameter": "(7, 12)", "name": "CKMP2019_Lem_41", "value": 16793601}, {"parameter": "(8, 11)", "name": "CKMP2019_Lem_41", "value": 4198401}, {"parameter": "(9, 10)", "name": "CKMP2019_Lem_41", "value": 1049601}, {"parameter": "(10, 9)", "name": "CKMP2019_Lem_41", "value": 268697601}, {"parameter": "(11, 8)", "name": "CKMP2019_Lem_41", "value": 268500993}, {"parameter": "(12, 7)", "name": "CKMP2019_Lem_41", "value": 268451841}, {"parameter": "(13, 6)", "name": "CKMP2019_Lem_41", "value": 268439553}, {"parameter": "(14, 5)", "name": "CKMP2019_Lem_41", "value": 268436481}, {"parameter": "(5, 5, 9)", "name": "CKMP2019_Lem_41", "value": 268697601}, {"parameter": "(5, 6, 8)", "name": "CKMP2019_Lem_41", "value": 268500993}, {"parameter": "(5, 7, 7)", "name": "CKMP2019_Lem_41", "value": 268451841}, {"parameter": "(5, 8, 6)", "name": "CKMP2019_Lem_41", "value": 268439553}, {"parameter": "(5, 9, 5)", "name": "CKMP2019_Lem_41", "value": 268436481}, {"parameter": "(6, 5, 8)", "name": "CKMP2019_Lem_41", "value": 67174401}, {"parameter": "(6, 6, 7)", "name": "CKMP2019_Lem_41", "value": 67125249}, {"parameter": "(6, 7, 6)", "name": "CKMP2019_Lem_41", "value": 67112961}, {"parameter": "(6, 8, 5)", "name": "CKMP2019_Lem_41", "value": 67109889}, {"parameter": "(7, 5, 7)", "name": "CKMP2019_Lem_41", "value": 16793601}, {"parameter": "(7, 6, 6)", "name": "CKMP2019_Lem_41", "value": 16781313}, {"parameter": "(7, 7, 5)", "name": "CKMP2019_Lem_41", "value": 16778241}, {"parameter": "(8, 5, 6)", "name": "CKMP2019_Lem_41", "value": 4198401}, {"parameter": "(8, 6, 5)", "name": "CKMP2019_Lem_41", "value": 4195329}, {"parameter": "(9, 5, 5)", "name": "CKMP2019_Lem_41", "value": 1049601}, {"parameter": "(5, 14)", "name": "CKMP2019_Cor_42", "value": 268697601}, {"parameter": "(6, 13)", "name": "CKMP2019_Cor_42", "value": 67174401}, {"parameter": "(7, 12)", "name": "CKMP2019_Cor_42", "value": 16793601}, {"parameter": "(8, 11)", "name": "CKMP2019_Cor_42", "value": 4198401}, {"parameter": "(9, 10)", "name": "CKMP2019_Cor_42", "value": 1049601}, {"parameter": "(10, 9)", "name": "CKMP2019_Cor_42", "value": 268697601}, {"parameter": "(11, 8)", "name": "CKMP2019_Cor_42", "value": 268500993}, {"parameter": "(12, 7)", "name": "CKMP2019_Cor_42", "value": 268451841}, {"parameter": "(13, 6)", "name": "CKMP2019_Cor_42", "value": 268439553}, {"parameter": "(14, 5)", "name": "CKMP2019_Cor_42", "value": 268436481}, {"parameter": "(5, 5, 9)", "name": "CKMP2019_Cor_42", "value": 268697601}, {"parameter": "(5, 6, 8)", "name": "CKMP2019_Cor_42", "value": 268500993}, {"parameter": "(5, 7, 7)", "name": "CKMP2019_Cor_42", "value": 268451841}, {"parameter": "(5, 8, 6)", "name": "CKMP2019_Cor_42", "value": 268439553}, {"parameter": "(5, 9, 5)", "name": "CKMP2019_Cor_42", "value": 268436481}, {"parameter": "(6, 5, 8)", "name": "CKMP2019_Cor_42", "value": 67174401}, {"parameter": "(6, 6, 7)", "name": "CKMP2019_Cor_42", "value": 67125249}, {"parameter": "(6, 7, 6)", "name": "CKMP2019_Cor_42", "value": 67112961}, {"parameter": "(6, 8, 5)", "name": "CKMP2019_Cor_42", "value": 67109889}, {"parameter": "(7, 5, 7)", "name": "CKMP2019_Cor_42", "value": 16793601}, {"parameter": "(7, 6, 6)", "name": "CKMP2019_Cor_42", "value": 16781313}, {"parameter": "(7, 7, 5)", "name": "CKMP2019_Cor_42", "value": 16778241}, {"parameter": "(8, 5, 6)", "name": "CKMP2019_Cor_42", "value": 4198401}, {"parameter": "(8, 6, 5)", "name": "CKMP2019_Cor_42", "value": 4195329}, {"parameter": "(9, 5, 5)", "name": "CKMP2019_Cor_42", "value": 1049601}, {"parameter": "5", "name": "linkage_GLT", "value": 268697601}, {"parameter": "6", "name": "linkage_GLT", "value": 67174401}, {"parameter": "7", "name": "linkage_GLT", "value": 16793601}, {"parameter": "8", "name": "linkage_GLT", "value": 4198401}, {"parameter": "9", "name": "linkage_GLT", "value": 1049601}, {"parameter": "10", "name": "linkage_GLT", "value": 268697601}, {"parameter": "11", "name": "linkage_GLT", "value": 268500993}, {"parameter": "12", "name": "linkage_GLT", "value": 268451841}, {"parameter": "13", "name": "linkage_GLT", "value": 268439553}, {"parameter": "14", "name": "linkage_GLT", "value": 268436481}, {"parameter": "5", "name": "improved_linkage", "value": 268697601}, {"parameter": "6", "name": "improved_linkage", "value": 67174401}, {"parameter": "7", "name": "improved_linkage", "value": 16793601}, {"parameter": "8", "name": "improved_linkage", "value": 4198401}, {"parameter": "9", "name": "improved_linkage", "value": 1049601}, {"parameter": "10", "name": "improved_linkage", "value": 268697601}, {"parameter": "11", "name": "improved_linkage", "value": 268500993}, {"parameter": "12", "name": "improved_linkage", "value": 268451841}, {"parameter": "13", "name": "improved_linkage", "value": 268439553}, {"parameter": "14", "name": "improved_linkage", "value": 268436481}, {"parameter": "5,0", "name": "generalized_linkage", "value": 268697601}, {"parameter": "6,0", "name": "generalized_linkage", "value": 67174401}, {"parameter": "7,0", "name": "generalized_linkage", "value": 16793601}, {"parameter": "8,0", "name": "generalized_linkage", "value": 4198401}, {"parameter": "9,0", "name": "generalized_linkage", "value": 1049601}, {"parameter": "10,0", "name": "generalized_linkage", "value": 268697601}, {"parameter": "11,0", "name": "generalized_linkage", "value": 268500993}, {"parameter": "12,0", "name": "generalized_linkage", "value": 268451841}, {"parameter": "13,0", "name": "generalized_linkage", "value": 268439553}, {"parameter": "14,0", "name": "generalized_linkage", "value": 268436481}, {"parameter": "[5, 14],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 268697601}, {"parameter": "[6, 13],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 67174401}, {"parameter": "[7, 12],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 16793601}, {"parameter": "[8, 11],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 4198401}, {"parameter": "[9, 10],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1049601}, {"parameter": "[10, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 268697601}, {"parameter": "[11, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 268500993}, {"parameter": "[12, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 268451841}, {"parameter": "[13, 6],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 268439553}, {"parameter": "[14, 5],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 268436481}, {"parameter": "[5, 5, 9],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 268697601}, {"parameter": "[5, 6, 8],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 268500993}, {"parameter": "[5, 7, 7],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 268451841}, {"parameter": "[5, 8, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 268439553}, {"parameter": "[5, 9, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 268436481}, {"parameter": "[6, 5, 8],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 67174401}, {"parameter": "[6, 6, 7],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 67125249}, {"parameter": "[6, 7, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 67112961}, {"parameter": "[6, 8, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 67109889}, {"parameter": "[7, 5, 7],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 16793601}, {"parameter": "[7, 6, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 16781313}, {"parameter": "[7, 7, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 16778241}, {"parameter": "[8, 5, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 4198401}, {"parameter": "[8, 6, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 4195329}, {"parameter": "[9, 5, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1049601}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 4}], "request": [4, 19, 10, 5], "liftedmrdsizebound": 268697737, "comments": "", "equal_bound_constraints": []}