{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 5160291746051272234978893428859106387360586971}, {"parameter": "", "name": "singleton", "value": 1939395353553757}, {"parameter": "2", "name": "ilp_2", "value": 1628524334911705}, {"parameter": "3", "name": "ilp_2", "value": 65744213013201873313576}, {"parameter": "4", "name": "ilp_2", "value": 2660773491385100935997733150103}, {"parameter": "5", "name": "ilp_2", "value": 109608720394176389606615587689136707383}, {"parameter": "7", "name": "ilp_3", "value": 37595836613442463662901662056282057653603}, {"parameter": "8", "name": "ilp_3", "value": 313037773633992203687774038770042112}, {"parameter": "9", "name": "ilp_3", "value": 2653019870958380613153102631258}, {"parameter": "10", "name": "ilp_3", "value": 22540904859388293984496108}, {"parameter": "", "name": "anticode", "value": 1628524334911705}, {"parameter": "", "name": "linear_programming_bound", "value": 1628524334911705}, {"parameter": "", "name": "sphere_packing", "value": 387571264026203659931896}, {"parameter": "1", "name": "ilp_1", "value": 1628477720336660}, {"parameter": "11", "name": "ilp_4", "value": 22539755292207742276597351}, {"parameter": "12", "name": "ilp_4", "value": 22539755292207742276597351}, {"parameter": "13", "name": "ilp_4", "value": 9387778572113826316051}, {"parameter": "14", "name": "ilp_4", "value": 3909971034040247476}, {"parameter": "", "name": "johnson_1", "value": 1628477720336660}, {"parameter": "", "name": "johnson_2", "value": 3909971034040247476}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 5160291746051272234978893428859106387360586971}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 37595836613442463662901662056282057653603}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 313037773633992203687774038770042112}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 2653019870958380613153102631258}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 22540904859388293984496108}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 22539755292207742276597351}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 22539755292207742276597351}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 9387778572113826316051}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 3909971034040247476}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 109608720394176389606615587689136707383}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 5590000138832849602864471879230080}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 325812219118476592813766429465}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 19329013132577567045029574}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 19322253555661401718515243}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 19323238982706333861516676}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 56362798568467118705447}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 164739444142262655282}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 488964008932636787}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 1629188796468451}, {"parameter": "2, 4", "name": "Ahlswede_Aydinian", "value": 2660773491385100935997733150103}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 949937006766457832539607258}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 387571264026203659931896}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 386603197936452336932391}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 386606415824805644629607}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 7898364641612806036746}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 161486818615872084129}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 3305057709436117199}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 68826390598027967}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 1633855530644779}, {"parameter": "3, 3", "name": "Ahlswede_Aydinian", "value": 65744213013201873313576}, {"parameter": "3, 4", "name": "Ahlswede_Aydinian", "value": 164360536583984512164}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 161485281941168973403}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 161485476966975328282}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 23471924732439890133}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 3351962407557744667}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 479217811319982821}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 68658205940101547}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 10011609311286648}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 1667199272351600}, {"parameter": "4, 2", "name": "Ahlswede_Aydinian", "value": 1628524334911705}, {"parameter": "4, 3", "name": "Ahlswede_Aydinian", "value": 1628524374543538}, {"parameter": "4, 4", "name": "Ahlswede_Aydinian", "value": 1628524651966414}, {"parameter": "4, 5", "name": "Ahlswede_Aydinian", "value": 1628526593928859}, {"parameter": "4, 6", "name": "Ahlswede_Aydinian", "value": 1628540187779233}, {"parameter": "4, 7", "name": "Ahlswede_Aydinian", "value": 1628635350282134}, {"parameter": "4, 8", "name": "Ahlswede_Aydinian", "value": 1629301759877007}, {"parameter": "4, 9", "name": "Ahlswede_Aydinian", "value": 1633979996882686}, {"parameter": "4, 10", "name": "Ahlswede_Aydinian", "value": 1667396143693215}, {"parameter": "4, 11", "name": "Ahlswede_Aydinian", "value": 1939395353553757}, {"parameter": "0, 9, o", "name": "Ahlswede_Aydinian", "value": 5160291746051272234978893428859106387360586971}, {"parameter": "0, 10, o", "name": "Ahlswede_Aydinian", "value": 109608720394176389606615587689136707383}, {"parameter": "0, 11, o", "name": "Ahlswede_Aydinian", "value": 2660773491385100935997733150103}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 65744213013201873313576}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 1628524334911705}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 1628477720336660}, {"parameter": "1, 8, o", "name": "Ahlswede_Aydinian", "value": 37595836613442463662901662056282057653603}, {"parameter": "1, 9, o", "name": "Ahlswede_Aydinian", "value": 5590000138832849602864471879230080}, {"parameter": "1, 10, o", "name": "Ahlswede_Aydinian", "value": 949937006766457832539607258}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 164360536583984512164}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 164772467691940686362}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 167714832739773609426}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 191674090403616411711}, {"parameter": "2, 7, o", "name": "Ahlswede_Aydinian", "value": 313037773633992203687774038770042112}, {"parameter": "2, 8, o", "name": "Ahlswede_Aydinian", "value": 325812219118476592813766429465}, {"parameter": "2, 9, o", "name": "Ahlswede_Aydinian", "value": 387571264026203659931896}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 387726631374705836446767}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 388837197000423637552677}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 396772641548030558102999}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 461551768267685915491708}, {"parameter": "3, 6, o", "name": "Ahlswede_Aydinian", "value": 2653019870958380613153102631258}, {"parameter": "3, 7, o", "name": "Ahlswede_Aydinian", "value": 19329013132577567045029574}, {"parameter": "3, 8, o", "name": "Ahlswede_Aydinian", "value": 19330159896822616846619596}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 19338190589846663916220794}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 19394569742120743540933333}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 19797442274847564678896640}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 23087367704084630526165300}, {"parameter": "4, 5, o", "name": "Ahlswede_Aydinian", "value": 22540904859388293984496108}, {"parameter": "4, 6, o", "name": "Ahlswede_Aydinian", "value": 22541096365981006954821923}, {"parameter": "4, 7, o", "name": "Ahlswede_Aydinian", "value": 22542436991886612814750121}, {"parameter": "4, 8, o", "name": "Ahlswede_Aydinian", "value": 22551825282928246440208743}, {"parameter": "4, 9, o", "name": "Ahlswede_Aydinian", "value": 22617735455761057436388870}, {"parameter": "4, 10, o", "name": "Ahlswede_Aydinian", "value": 23088717432003691162156951}, {"parameter": "4, 11, o", "name": "Ahlswede_Aydinian", "value": 26935000671139346639437914}, {"parameter": "", "name": "improved_johnson", "value": 1628477720336642}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 27369829794277598611}], "known_codes": [], "upper_bound": 1628477720336642, "classified": false, "lower_bound": 1628413597927257, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 1628413597910449}, {"parameter": "", "name": "sphere_covering", "value": 237214953}, {"parameter": "", "name": "graham_sloane", "value": 1}, {"parameter": "", "name": "multicomponent", "value": 1628413597910450}, {"parameter": "", "name": "Gorla_Ravagnani_2014", "value": 1628413597927257}, {"parameter": "", "name": "coset_construction", "value": 1628413597927257}, {"parameter": "[(0, 1, 2, 3, 4, 5), (0, 6, 7, 8, 9, 10), (5, 10, 11, 12, 13, 14)]", "name": "ef_computation", "value": 1628413597927257}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 1628413597910449}, {"parameter": "(6, 9)", "name": "CKMP2019_Lem_41", "value": 1628413597910450}, {"parameter": "(7, 8)", "name": "CKMP2019_Lem_41", "value": 33232930569602}, {"parameter": "(8, 7)", "name": "CKMP2019_Lem_41", "value": 678223072850}, {"parameter": "(9, 6)", "name": "CKMP2019_Lem_41", "value": 13841287202}, {"parameter": "(6, 9)", "name": "CKMP2019_Cor_42", "value": 1628413597910450}, {"parameter": "(7, 8)", "name": "CKMP2019_Cor_42", "value": 33232930569602}, {"parameter": "(8, 7)", "name": "CKMP2019_Cor_42", "value": 678223072850}, {"parameter": "(9, 6)", "name": "CKMP2019_Cor_42", "value": 13841287202}, {"parameter": "", "name": "construction_1", "value": 1628413597927257}, {"parameter": "6", "name": "linkage_GLT", "value": 1628413597910450}, {"parameter": "7", "name": "linkage_GLT", "value": 33232930569602}, {"parameter": "8", "name": "linkage_GLT", "value": 678223072850}, {"parameter": "9", "name": "linkage_GLT", "value": 13841287202}, {"parameter": "6", "name": "improved_linkage", "value": 1628413597910450}, {"parameter": "7", "name": "improved_linkage", "value": 33232930569602}, {"parameter": "8", "name": "improved_linkage", "value": 678223072850}, {"parameter": "9", "name": "improved_linkage", "value": 13841287202}, {"parameter": "10", "name": "improved_linkage", "value": 117650}, {"parameter": "6,0", "name": "generalized_linkage", "value": 1628413597910450}, {"parameter": "6,1", "name": "generalized_linkage", "value": 1628413597910450}, {"parameter": "7,0", "name": "generalized_linkage", "value": 33232930569602}, {"parameter": "7,1", "name": "generalized_linkage", "value": 33232930569602}, {"parameter": "8,0", "name": "generalized_linkage", "value": 678223072850}, {"parameter": "8,1", "name": "generalized_linkage", "value": 678223072850}, {"parameter": "9,0", "name": "generalized_linkage", "value": 13841287202}, {"parameter": "9,1", "name": "generalized_linkage", "value": 13841287202}, {"parameter": "10,1", "name": "generalized_linkage", "value": 117650}, {"parameter": "[6, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1628413597910450}, {"parameter": "[6, 9],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 1628413597910450}, {"parameter": "[7, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 33232930569602}, {"parameter": "[7, 8],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 33232930569602}, {"parameter": "[8, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 678223072850}, {"parameter": "[8, 7],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 678223072850}, {"parameter": "[9, 6],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 13841287202}, {"parameter": "[9, 6],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 13841287202}, {"parameter": "[10, 5],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 117650}, {"parameter": "", "name": "JohnsonLB", "value": 1628411620583756}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 1977444399}], "request": [7, 15, 10, 6], "liftedmrdsizebound": 1628413597927257, "comments": "", "equal_bound_constraints": []}