{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 29300431646768594471354099536120996132}, {"parameter": "", "name": "singleton", "value": 2391484}, {"parameter": "1", "name": "ilp_2", "value": 1596513}, {"parameter": "2", "name": "ilp_2", "value": 2555875399267}, {"parameter": "3", "name": "ilp_2", "value": 4125827038914918539}, {"parameter": "4", "name": "ilp_2", "value": 6830896973561523160436409}, {"parameter": "5", "name": "ilp_2", "value": 12251987321164847630740619438023}, {"parameter": "7", "name": "ilp_3", "value": 26807348258708686616060475330394324}, {"parameter": "8", "name": "ilp_3", "value": 32691888120376447092756677232188}, {"parameter": "9", "name": "ilp_3", "value": 43186113765358582685279626462}, {"parameter": "10", "name": "ilp_3", "value": 58509841166994421738625696}, {"parameter": "11", "name": "ilp_3", "value": 79930574567941980404566}, {"parameter": "", "name": "anticode", "value": 1596513}, {"parameter": "", "name": "linear_programming_bound", "value": 1596513}, {"parameter": "", "name": "sphere_packing", "value": 620371635774631221881}, {"parameter": "", "name": "DrakeFreeman", "value": 1596512}, {"parameter": "", "name": "partial_spread_5", "value": 1596512}, {"parameter": "", "name": "partial_spread_kurz16_28", "value": 1596511}, {"parameter": "", "name": "spread_bound", "value": 1596513}, {"parameter": "", "name": "XiaFuJohnson1", "value": 1596513}, {"parameter": "12", "name": "ilp_4", "value": 79930574567941980404566}, {"parameter": "13", "name": "ilp_4", "value": 328481950647772513986}, {"parameter": "14", "name": "ilp_4", "value": 1351160011539942270}, {"parameter": "15", "name": "ilp_4", "value": 5562589088607623}, {"parameter": "16", "name": "ilp_4", "value": 22892863105432}, {"parameter": "17", "name": "ilp_4", "value": 94214096529}, {"parameter": "18", "name": "ilp_4", "value": 387952902}, {"parameter": "", "name": "johnson_1", "value": 1596513}, {"parameter": "", "name": "johnson_2", "value": 387952902}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 29300431646768594471354099536120996132}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 26807348258708686616060475330394324}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 32691888120376447092756677232188}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 43186113765358582685279626462}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 58509841166994421738625696}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 79930574567941980404566}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 79930574567941980404566}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 328481950647772513986}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 1351160011539942270}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 5562589088607623}, {"parameter": "0, 16", "name": "Ahlswede_Aydinian", "value": 22892863105432}, {"parameter": "0, 17", "name": "Ahlswede_Aydinian", "value": 94214096529}, {"parameter": "0, 18", "name": "Ahlswede_Aydinian", "value": 387952902}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 12251987321164847630740619438023}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 33659319863367500196526865349}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 123181562566925424309113520}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 488221440040087207722023}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 1984460672852653309443}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 1984527705626515049471}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 24402495496713736233}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 300944686739839552}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 3723859554045606}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 46109228691123}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 575056848574}, {"parameter": "1, 16", "name": "Ahlswede_Aydinian", "value": 7280862809}, {"parameter": "1, 17", "name": "Ahlswede_Aydinian", "value": 97354104}, {"parameter": "1, 18", "name": "Ahlswede_Aydinian", "value": 1600897}, {"parameter": "2, 4", "name": "Ahlswede_Aydinian", "value": 6830896973561523160436409}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 56453725211113012692348}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 620371635774631221881}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 7378656357357117948}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 7378766515187084576}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 269976107879321250}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 9986909879466652}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 370709743080769}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 13827809138589}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 513929224242}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 19243812956}, {"parameter": "2, 15", "name": "Ahlswede_Aydinian", "value": 736906428}, {"parameter": "2, 16", "name": "Ahlswede_Aydinian", "value": 30298681}, {"parameter": "2, 17", "name": "Ahlswede_Aydinian", "value": 1614250}, {"parameter": "3, 3", "name": "Ahlswede_Aydinian", "value": 4125827038914918539}, {"parameter": "3, 4", "name": "Ahlswede_Aydinian", "value": 103145736714885960}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 3409782444338956}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 3409800516473134}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 365452997213348}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 40775716367662}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 4604368807406}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 511140356843}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 56874974560}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 6347682713}, {"parameter": "3, 13", "name": "Ahlswede_Aydinian", "value": 713537267}, {"parameter": "3, 14", "name": "Ahlswede_Aydinian", "value": 82141745}, {"parameter": "3, 15", "name": "Ahlswede_Aydinian", "value": 10193857}, {"parameter": "3, 16", "name": "Ahlswede_Aydinian", "value": 1655641}, {"parameter": "4, 2", "name": "Ahlswede_Aydinian", "value": 2555875399267}, {"parameter": "4, 3", "name": "Ahlswede_Aydinian", "value": 196605912368}, {"parameter": "4, 4", "name": "Ahlswede_Aydinian", "value": 196606249644}, {"parameter": "4, 5", "name": "Ahlswede_Aydinian", "value": 59144663783}, {"parameter": "4, 6", "name": "Ahlswede_Aydinian", "value": 21123420341}, {"parameter": "4, 7", "name": "Ahlswede_Aydinian", "value": 6964299895}, {"parameter": "4, 8", "name": "Ahlswede_Aydinian", "value": 2338890646}, {"parameter": "4, 9", "name": "Ahlswede_Aydinian", "value": 779004473}, {"parameter": "4, 10", "name": "Ahlswede_Aydinian", "value": 260204845}, {"parameter": "4, 11", "name": "Ahlswede_Aydinian", "value": 87049770}, {"parameter": "4, 12", "name": "Ahlswede_Aydinian", "value": 29349493}, {"parameter": "4, 13", "name": "Ahlswede_Aydinian", "value": 10124711}, {"parameter": "4, 14", "name": "Ahlswede_Aydinian", "value": 3754663}, {"parameter": "4, 15", "name": "Ahlswede_Aydinian", "value": 1793611}, {"parameter": "5, 1", "name": "Ahlswede_Aydinian", "value": 1596513}, {"parameter": "5, 2", "name": "Ahlswede_Aydinian", "value": 1596513}, {"parameter": "5, 3", "name": "Ahlswede_Aydinian", "value": 1596515}, {"parameter": "5, 4", "name": "Ahlswede_Aydinian", "value": 1596522}, {"parameter": "5, 5", "name": "Ahlswede_Aydinian", "value": 1596542}, {"parameter": "5, 6", "name": "Ahlswede_Aydinian", "value": 1596603}, {"parameter": "5, 7", "name": "Ahlswede_Aydinian", "value": 1596785}, {"parameter": "5, 8", "name": "Ahlswede_Aydinian", "value": 1597330}, {"parameter": "5, 9", "name": "Ahlswede_Aydinian", "value": 1598968}, {"parameter": "5, 10", "name": "Ahlswede_Aydinian", "value": 1603897}, {"parameter": "5, 11", "name": "Ahlswede_Aydinian", "value": 1618809}, {"parameter": "5, 12", "name": "Ahlswede_Aydinian", "value": 1664719}, {"parameter": "5, 13", "name": "Ahlswede_Aydinian", "value": 1813834}, {"parameter": "5, 14", "name": "Ahlswede_Aydinian", "value": 2391484}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 29300431646768594471354099536120996132}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 12251987321164847630740619438023}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 6830896973561523160436409}, {"parameter": "0, 16, o", "name": "Ahlswede_Aydinian", "value": 4125827038914918539}, {"parameter": "0, 17, o", "name": "Ahlswede_Aydinian", "value": 2555875399267}, {"parameter": "0, 18, o", "name": "Ahlswede_Aydinian", "value": 1596513}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 26807348258708686616060475330394324}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 33659319863367500196526865349}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 56453725211113012692348}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 103145736714885960}, {"parameter": "1, 16, o", "name": "Ahlswede_Aydinian", "value": 196605912368}, {"parameter": "1, 17, o", "name": "Ahlswede_Aydinian", "value": 212986509066}, {"parameter": "1, 18, o", "name": "Ahlswede_Aydinian", "value": 283981878559}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 32691888120376447092756677232188}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 123181562566925424309113520}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 620371635774631221881}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 3409782444338956}, {"parameter": "2, 15, o", "name": "Ahlswede_Aydinian", "value": 3526093766123296}, {"parameter": "2, 16, o", "name": "Ahlswede_Aydinian", "value": 3917880261343534}, {"parameter": "2, 17, o", "name": "Ahlswede_Aydinian", "value": 5659149733661240}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 43186113765358582685279626462}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 488221440040087207722023}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 7378656357357117948}, {"parameter": "3, 13, o", "name": "Ahlswede_Aydinian", "value": 7467219573896417024}, {"parameter": "3, 14, o", "name": "Ahlswede_Aydinian", "value": 7743779980957485496}, {"parameter": "3, 15, o", "name": "Ahlswede_Aydinian", "value": 8675889406953547027}, {"parameter": "3, 16, o", "name": "Ahlswede_Aydinian", "value": 12853090924965350143}, {"parameter": "4, 9, o", "name": "Ahlswede_Aydinian", "value": 58509841166994421738625696}, {"parameter": "4, 10, o", "name": "Ahlswede_Aydinian", "value": 1984460672852653309443}, {"parameter": "4, 11, o", "name": "Ahlswede_Aydinian", "value": 1992356944058015117213}, {"parameter": "4, 12, o", "name": "Ahlswede_Aydinian", "value": 2016953096865701334025}, {"parameter": "4, 13, o", "name": "Ahlswede_Aydinian", "value": 2093567772369085720335}, {"parameter": "4, 14, o", "name": "Ahlswede_Aydinian", "value": 2352022720700718003629}, {"parameter": "4, 15, o", "name": "Ahlswede_Aydinian", "value": 3513449339891432332039}, {"parameter": "5, 8, o", "name": "Ahlswede_Aydinian", "value": 79930574567941980404566}, {"parameter": "5, 9, o", "name": "Ahlswede_Aydinian", "value": 80039906356846453286271}, {"parameter": "5, 10, o", "name": "Ahlswede_Aydinian", "value": 80369255048622112807132}, {"parameter": "5, 11, o", "name": "Ahlswede_Aydinian", "value": 81369633207690191675689}, {"parameter": "5, 12, o", "name": "Ahlswede_Aydinian", "value": 84486022671889615396663}, {"parameter": "5, 13, o", "name": "Ahlswede_Aydinian", "value": 95002068224687913175255}, {"parameter": "5, 14, o", "name": "Ahlswede_Aydinian", "value": 142299528422960399756323}, {"parameter": "", "name": "improved_johnson", "value": 1596511}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 94315621623}], "known_codes": [], "upper_bound": 1596511, "classified": false, "lower_bound": 1596511, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 1594323}, {"parameter": "", "name": "sphere_covering", "value": 4387}, {"parameter": "", "name": "graham_sloane", "value": 1}, {"parameter": "", "name": "partial_spread_3", "value": 1596511}, {"parameter": "", "name": "multicomponent", "value": 1596511}, {"parameter": "[(0, 1, 2, 3, 4, 5), (6, 7, 8, 9, 10, 11), (13, 14, 15, 16, 17, 18)]", "name": "ef_computation", "value": 1596511}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 1594323}, {"parameter": "(6, 13)", "name": "CKMP2019_Lem_41", "value": 1596511}, {"parameter": "(7, 12)", "name": "CKMP2019_Lem_41", "value": 532171}, {"parameter": "(8, 11)", "name": "CKMP2019_Lem_41", "value": 177148}, {"parameter": "(9, 10)", "name": "CKMP2019_Lem_41", "value": 59050}, {"parameter": "(10, 9)", "name": "CKMP2019_Lem_41", "value": 19684}, {"parameter": "(11, 8)", "name": "CKMP2019_Lem_41", "value": 6562}, {"parameter": "(12, 7)", "name": "CKMP2019_Lem_41", "value": 1596511}, {"parameter": "(13, 6)", "name": "CKMP2019_Lem_41", "value": 1595053}, {"parameter": "(6, 6, 7)", "name": "CKMP2019_Lem_41", "value": 1596511}, {"parameter": "(6, 7, 6)", "name": "CKMP2019_Lem_41", "value": 1595053}, {"parameter": "(7, 6, 6)", "name": "CKMP2019_Lem_41", "value": 532171}, {"parameter": "(6, 13)", "name": "CKMP2019_Cor_42", "value": 1596511}, {"parameter": "(7, 12)", "name": "CKMP2019_Cor_42", "value": 532171}, {"parameter": "(8, 11)", "name": "CKMP2019_Cor_42", "value": 177148}, {"parameter": "(9, 10)", "name": "CKMP2019_Cor_42", "value": 59050}, {"parameter": "(10, 9)", "name": "CKMP2019_Cor_42", "value": 19684}, {"parameter": "(11, 8)", "name": "CKMP2019_Cor_42", "value": 6562}, {"parameter": "(12, 7)", "name": "CKMP2019_Cor_42", "value": 1596511}, {"parameter": "(13, 6)", "name": "CKMP2019_Cor_42", "value": 1595053}, {"parameter": "(6, 6, 7)", "name": "CKMP2019_Cor_42", "value": 1596511}, {"parameter": "(6, 7, 6)", "name": "CKMP2019_Cor_42", "value": 1595053}, {"parameter": "(7, 6, 6)", "name": "CKMP2019_Cor_42", "value": 532171}, {"parameter": "6", "name": "linkage_GLT", "value": 1596511}, {"parameter": "7", "name": "linkage_GLT", "value": 532171}, {"parameter": "8", "name": "linkage_GLT", "value": 177148}, {"parameter": "9", "name": "linkage_GLT", "value": 59050}, {"parameter": "10", "name": "linkage_GLT", "value": 19684}, {"parameter": "11", "name": "linkage_GLT", "value": 6562}, {"parameter": "12", "name": "linkage_GLT", "value": 1596511}, {"parameter": "13", "name": "linkage_GLT", "value": 1595053}, {"parameter": "6", "name": "improved_linkage", "value": 1596511}, {"parameter": "7", "name": "improved_linkage", "value": 532171}, {"parameter": "8", "name": "improved_linkage", "value": 177148}, {"parameter": "9", "name": "improved_linkage", "value": 59050}, {"parameter": "10", "name": "improved_linkage", "value": 19684}, {"parameter": "11", "name": "improved_linkage", "value": 6562}, {"parameter": "12", "name": "improved_linkage", "value": 1596511}, {"parameter": "13", "name": "improved_linkage", "value": 1595053}, {"parameter": "6,0", "name": "generalized_linkage", "value": 1596511}, {"parameter": "7,0", "name": "generalized_linkage", "value": 532171}, {"parameter": "8,0", "name": "generalized_linkage", "value": 177148}, {"parameter": "9,0", "name": "generalized_linkage", "value": 59050}, {"parameter": "10,0", "name": "generalized_linkage", "value": 19684}, {"parameter": "11,0", "name": "generalized_linkage", "value": 6562}, {"parameter": "12,0", "name": "generalized_linkage", "value": 1596511}, {"parameter": "13,0", "name": "generalized_linkage", "value": 1595053}, {"parameter": "[6, 13],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1596511}, {"parameter": "[7, 12],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 532171}, {"parameter": "[8, 11],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 177148}, {"parameter": "[9, 10],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 59050}, {"parameter": "[10, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 19684}, {"parameter": "[11, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 6562}, {"parameter": "[12, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1596511}, {"parameter": "[13, 6],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1595053}, {"parameter": "[6, 6, 7],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1596511}, {"parameter": "[6, 7, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1595053}, {"parameter": "[7, 6, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 532171}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 3}], "request": [3, 19, 12, 6], "liftedmrdsizebound": 1596511, "comments": "", "equal_bound_constraints": [{"parameter": "", "name": "partial_spread_2", "value": 1596511}, {"parameter": "", "name": "partial_spread_NS", "value": 1596511}]}