{"upper_bound_constraints": [{"parameter": "", "name": "partial_spread_kurz_q3", "value": 59053}, {"parameter": "", "name": "all_subs", "value": 263862583736385343242102717216527933566}, {"parameter": "", "name": "singleton", "value": 88573}, {"parameter": "1", "name": "ilp_2", "value": 59058}, {"parameter": "2", "name": "ilp_2", "value": 3488911182}, {"parameter": "3", "name": "ilp_2", "value": 206299701616408}, {"parameter": "4", "name": "ilp_2", "value": 12232128207941696794}, {"parameter": "5", "name": "ilp_2", "value": 731323472381031020443100}, {"parameter": "6", "name": "ilp_2", "value": 44844811582056543791341707579}, {"parameter": "7", "name": "ilp_2", "value": 2979040833396016204058829634499542}, {"parameter": "9", "name": "ilp_3", "value": 26812578369717035183629988539429726}, {"parameter": "10", "name": "ilp_3", "value": 3632648471713458228374202484680}, {"parameter": "11", "name": "ilp_3", "value": 533169590420048513303880779}, {"parameter": "12", "name": "ilp_3", "value": 80260362851128784179419}, {"parameter": "13", "name": "ilp_3", "value": 12182612928864536631}, {"parameter": "14", "name": "ilp_3", "value": 1854275883136450}, {"parameter": "15", "name": "ilp_3", "value": 282491716130}, {"parameter": "", "name": "anticode", "value": 59058}, {"parameter": "", "name": "linear_programming_bound", "value": 59058}, {"parameter": "", "name": "sphere_packing", "value": 29148035584675611}, {"parameter": "", "name": "DrakeFreeman", "value": 59054}, {"parameter": "", "name": "partial_spread_5", "value": 59057}, {"parameter": "", "name": "partial_spread_kurz16_28", "value": 59050}, {"parameter": "", "name": "spread_bound", "value": 59058}, {"parameter": "", "name": "XiaFuJohnson1", "value": 59058}, {"parameter": "16", "name": "ilp_4", "value": 282491716130}, {"parameter": "17", "name": "ilp_4", "value": 129148910}, {"parameter": "", "name": "johnson_1", "value": 59058}, {"parameter": "", "name": "johnson_2", "value": 129148910}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 263862583736385343242102717216527933566}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 26812578369717035183629988539429726}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 3632648471713458228374202484680}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 533169590420048513303880779}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 80260362851128784179419}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 12182612928864536631}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 1854275883136450}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 282491716130}, {"parameter": "0, 16", "name": "Ahlswede_Aydinian", "value": 282491716130}, {"parameter": "0, 17", "name": "Ahlswede_Aydinian", "value": 129148910}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 2979040833396016204058829634499542}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 908254407700180725030655754867}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 369184092112459970869756192}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 162575558594671571836835}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 73442301517134026663}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 33473783819702751}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 15326907654438}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 15454592458196}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 21733189219}, {"parameter": "1, 16", "name": "Ahlswede_Aydinian", "value": 32290918}, {"parameter": "1, 17", "name": "Ahlswede_Aydinian", "value": 59060}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 44844811582056543791341707579}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 41029721905982214032320037}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 50038503922607618509024}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 66110010572259821362}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 89604211011546806}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 122558066558613}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 123007819988426}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 511123380804}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 2174236464}, {"parameter": "2, 15", "name": "Ahlswede_Aydinian", "value": 9944629}, {"parameter": "2, 16", "name": "Ahlswede_Aydinian", "value": 59090}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 731323472381031020443100}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 2009163093790678501028}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 7353197160760671882}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 29148035584675611}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 118527956094647}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 118684307620222}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 1465029326982}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 18278842055}, {"parameter": "3, 13", "name": "Ahlswede_Aydinian", "value": 234319478}, {"parameter": "3, 14", "name": "Ahlswede_Aydinian", "value": 3240589}, {"parameter": "3, 15", "name": "Ahlswede_Aydinian", "value": 59293}, {"parameter": "4, 4", "name": "Ahlswede_Aydinian", "value": 12232128207941696794}, {"parameter": "4, 5", "name": "Ahlswede_Aydinian", "value": 101093645580293393}, {"parameter": "4, 6", "name": "Ahlswede_Aydinian", "value": 1110974468034523}, {"parameter": "4, 7", "name": "Ahlswede_Aydinian", "value": 13215758971633}, {"parameter": "4, 8", "name": "Ahlswede_Aydinian", "value": 13221680593156}, {"parameter": "4, 9", "name": "Ahlswede_Aydinian", "value": 484387242478}, {"parameter": "4, 10", "name": "Ahlswede_Aydinian", "value": 17988473583}, {"parameter": "4, 11", "name": "Ahlswede_Aydinian", "value": 675626109}, {"parameter": "4, 12", "name": "Ahlswede_Aydinian", "value": 26118847}, {"parameter": "4, 13", "name": "Ahlswede_Aydinian", "value": 1085479}, {"parameter": "4, 14", "name": "Ahlswede_Aydinian", "value": 59781}, {"parameter": "5, 3", "name": "Ahlswede_Aydinian", "value": 206299701616408}, {"parameter": "5, 4", "name": "Ahlswede_Aydinian", "value": 5157577350386}, {"parameter": "5, 5", "name": "Ahlswede_Aydinian", "value": 170506836126}, {"parameter": "5, 6", "name": "Ahlswede_Aydinian", "value": 170532073812}, {"parameter": "5, 7", "name": "Ahlswede_Aydinian", "value": 18284984018}, {"parameter": "5, 8", "name": "Ahlswede_Aydinian", "value": 2042785557}, {"parameter": "5, 9", "name": "Ahlswede_Aydinian", "value": 231562347}, {"parameter": "5, 10", "name": "Ahlswede_Aydinian", "value": 26006913}, {"parameter": "5, 11", "name": "Ahlswede_Aydinian", "value": 2997875}, {"parameter": "5, 12", "name": "Ahlswede_Aydinian", "value": 373576}, {"parameter": "5, 13", "name": "Ahlswede_Aydinian", "value": 61318}, {"parameter": "6, 2", "name": "Ahlswede_Aydinian", "value": 3488911182}, {"parameter": "6, 3", "name": "Ahlswede_Aydinian", "value": 268381972}, {"parameter": "6, 4", "name": "Ahlswede_Aydinian", "value": 268394542}, {"parameter": "6, 5", "name": "Ahlswede_Aydinian", "value": 80751521}, {"parameter": "6, 6", "name": "Ahlswede_Aydinian", "value": 28851990}, {"parameter": "6, 7", "name": "Ahlswede_Aydinian", "value": 9523977}, {"parameter": "6, 8", "name": "Ahlswede_Aydinian", "value": 3210265}, {"parameter": "6, 9", "name": "Ahlswede_Aydinian", "value": 1081083}, {"parameter": "6, 10", "name": "Ahlswede_Aydinian", "value": 373390}, {"parameter": "6, 11", "name": "Ahlswede_Aydinian", "value": 138602}, {"parameter": "6, 12", "name": "Ahlswede_Aydinian", "value": 66430}, {"parameter": "7, 1", "name": "Ahlswede_Aydinian", "value": 59058}, {"parameter": "7, 2", "name": "Ahlswede_Aydinian", "value": 59058}, {"parameter": "7, 3", "name": "Ahlswede_Aydinian", "value": 59061}, {"parameter": "7, 4", "name": "Ahlswede_Aydinian", "value": 59067}, {"parameter": "7, 5", "name": "Ahlswede_Aydinian", "value": 59088}, {"parameter": "7, 6", "name": "Ahlswede_Aydinian", "value": 59148}, {"parameter": "7, 7", "name": "Ahlswede_Aydinian", "value": 59331}, {"parameter": "7, 8", "name": "Ahlswede_Aydinian", "value": 59885}, {"parameter": "7, 9", "name": "Ahlswede_Aydinian", "value": 61590}, {"parameter": "7, 10", "name": "Ahlswede_Aydinian", "value": 67126}, {"parameter": "7, 11", "name": "Ahlswede_Aydinian", "value": 88573}, {"parameter": "0, 10, o", "name": "Ahlswede_Aydinian", "value": 263862583736385343242102717216527933566}, {"parameter": "0, 11, o", "name": "Ahlswede_Aydinian", "value": 2979040833396016204058829634499542}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 44844811582056543791341707579}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 731323472381031020443100}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 12232128207941696794}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 206299701616408}, {"parameter": "0, 16, o", "name": "Ahlswede_Aydinian", "value": 3488911182}, {"parameter": "0, 17, o", "name": "Ahlswede_Aydinian", "value": 59058}, {"parameter": "1, 9, o", "name": "Ahlswede_Aydinian", "value": 26812578369717035183629988539429726}, {"parameter": "1, 10, o", "name": "Ahlswede_Aydinian", "value": 908254407700180725030655754867}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 41029721905982214032320037}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 2009163093790678501028}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 101093645580293393}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 5157577350386}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 268381972}, {"parameter": "1, 16, o", "name": "Ahlswede_Aydinian", "value": 290628113}, {"parameter": "1, 17, o", "name": "Ahlswede_Aydinian", "value": 387499222}, {"parameter": "2, 8, o", "name": "Ahlswede_Aydinian", "value": 3632648471713458228374202484680}, {"parameter": "2, 9, o", "name": "Ahlswede_Aydinian", "value": 369184092112459970869756192}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 50038503922607618509024}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 7353197160760671882}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 1110974468034523}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 170506836126}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 176120498874}, {"parameter": "2, 15, o", "name": "Ahlswede_Aydinian", "value": 195687112546}, {"parameter": "2, 16, o", "name": "Ahlswede_Aydinian", "value": 282644802892}, {"parameter": "3, 7, o", "name": "Ahlswede_Aydinian", "value": 533169590420048513303880779}, {"parameter": "3, 8, o", "name": "Ahlswede_Aydinian", "value": 162575558594671571836835}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 66110010572259821362}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 29148035584675611}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 13215758971633}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 13325863482174}, {"parameter": "3, 13, o", "name": "Ahlswede_Aydinian", "value": 13819232891956}, {"parameter": "3, 14, o", "name": "Ahlswede_Aydinian", "value": 15482069091482}, {"parameter": "3, 15, o", "name": "Ahlswede_Aydinian", "value": 283507384819}, {"parameter": "4, 6, o", "name": "Ahlswede_Aydinian", "value": 80260362851128784179419}, {"parameter": "4, 7, o", "name": "Ahlswede_Aydinian", "value": 73442301517134026663}, {"parameter": "4, 8, o", "name": "Ahlswede_Aydinian", "value": 89604211011546806}, {"parameter": "4, 9, o", "name": "Ahlswede_Aydinian", "value": 118527956094647}, {"parameter": "4, 10, o", "name": "Ahlswede_Aydinian", "value": 118027685295002}, {"parameter": "4, 11, o", "name": "Ahlswede_Aydinian", "value": 119482113133228}, {"parameter": "4, 12, o", "name": "Ahlswede_Aydinian", "value": 124016481128310}, {"parameter": "4, 13, o", "name": "Ahlswede_Aydinian", "value": 5169125636188}, {"parameter": "4, 14, o", "name": "Ahlswede_Aydinian", "value": 287535170935}, {"parameter": "5, 5, o", "name": "Ahlswede_Aydinian", "value": 12182612928864536631}, {"parameter": "5, 6, o", "name": "Ahlswede_Aydinian", "value": 33473783819702751}, {"parameter": "5, 7, o", "name": "Ahlswede_Aydinian", "value": 122558066558613}, {"parameter": "5, 8, o", "name": "Ahlswede_Aydinian", "value": 120629952007439}, {"parameter": "5, 9, o", "name": "Ahlswede_Aydinian", "value": 121116662555855}, {"parameter": "5, 10, o", "name": "Ahlswede_Aydinian", "value": 122620179952465}, {"parameter": "5, 11, o", "name": "Ahlswede_Aydinian", "value": 14373881062123}, {"parameter": "5, 12, o", "name": "Ahlswede_Aydinian", "value": 1792912335452}, {"parameter": "5, 13, o", "name": "Ahlswede_Aydinian", "value": 297994507610}, {"parameter": "6, 4, o", "name": "Ahlswede_Aydinian", "value": 1854275883136450}, {"parameter": "6, 5, o", "name": "Ahlswede_Aydinian", "value": 15326907654438}, {"parameter": "6, 6, o", "name": "Ahlswede_Aydinian", "value": 15333851532803}, {"parameter": "6, 7, o", "name": "Ahlswede_Aydinian", "value": 15354711480467}, {"parameter": "6, 8, o", "name": "Ahlswede_Aydinian", "value": 15417547177448}, {"parameter": "6, 9, o", "name": "Ahlswede_Aydinian", "value": 5145673872713}, {"parameter": "6, 10, o", "name": "Ahlswede_Aydinian", "value": 1793709056564}, {"parameter": "6, 11, o", "name": "Ahlswede_Aydinian", "value": 670999582419}, {"parameter": "6, 12, o", "name": "Ahlswede_Aydinian", "value": 334069973146}, {"parameter": "7, 3, o", "name": "Ahlswede_Aydinian", "value": 282491716130}, {"parameter": "7, 4, o", "name": "Ahlswede_Aydinian", "value": 282533682965}, {"parameter": "7, 5, o", "name": "Ahlswede_Aydinian", "value": 282659639293}, {"parameter": "7, 6, o", "name": "Ahlswede_Aydinian", "value": 283038011358}, {"parameter": "7, 7, o", "name": "Ahlswede_Aydinian", "value": 284177673358}, {"parameter": "7, 8, o", "name": "Ahlswede_Aydinian", "value": 287638065295}, {"parameter": "7, 9, o", "name": "Ahlswede_Aydinian", "value": 298405717972}, {"parameter": "7, 10, o", "name": "Ahlswede_Aydinian", "value": 334604961803}, {"parameter": "7, 11, o", "name": "Ahlswede_Aydinian", "value": 494894285941}, {"parameter": "", "name": "improved_johnson", "value": 59050}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 129153285}], "known_codes": [], "upper_bound": 59050, "classified": false, "lower_bound": 59050, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 59049}, {"parameter": "", "name": "sphere_covering", "value": 19}, {"parameter": "", "name": "graham_sloane", "value": 1}, {"parameter": "", "name": "partial_spread_3", "value": 59050}, {"parameter": "", "name": "multicomponent", "value": 59050}, {"parameter": "[(0, 1, 2, 3, 4, 5, 6, 7), (10, 11, 12, 13, 14, 15, 16, 17)]", "name": "ef_computation", "value": 59050}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 59049}, {"parameter": "(8, 10)", "name": "CKMP2019_Lem_41", "value": 59050}, {"parameter": "(9, 9)", "name": "CKMP2019_Lem_41", "value": 19684}, {"parameter": "(10, 8)", "name": "CKMP2019_Lem_41", "value": 6562}, {"parameter": "(8, 10)", "name": "CKMP2019_Cor_42", "value": 59050}, {"parameter": "(9, 9)", "name": "CKMP2019_Cor_42", "value": 19684}, {"parameter": "(10, 8)", "name": "CKMP2019_Cor_42", "value": 6562}, {"parameter": "8", "name": "linkage_GLT", "value": 59050}, {"parameter": "9", "name": "linkage_GLT", "value": 19684}, {"parameter": "10", "name": "linkage_GLT", "value": 6562}, {"parameter": "8", "name": "improved_linkage", "value": 59050}, {"parameter": "9", "name": "improved_linkage", "value": 19684}, {"parameter": "10", "name": "improved_linkage", "value": 6562}, {"parameter": "8,0", "name": "generalized_linkage", "value": 59050}, {"parameter": "9,0", "name": "generalized_linkage", "value": 19684}, {"parameter": "10,0", "name": "generalized_linkage", "value": 6562}, {"parameter": "[8, 10],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 59050}, {"parameter": "[9, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 19684}, {"parameter": "[10, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 6562}, {"parameter": "", "name": "JohnsonLB", "value": 59047}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 3}], "request": [3, 18, 16, 8], "liftedmrdsizebound": 59050, "comments": "", "equal_bound_constraints": [{"parameter": "", "name": "partial_spread_NS", "value": 59050}]}