{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 7258558056330718241144285557911444544132154908}, {"parameter": "", "name": "singleton", "value": 317733228541}, {"parameter": "1", "name": "ilp_2", "value": 282472589764}, {"parameter": "2", "name": "ilp_2", "value": 79888188588210217752724}, {"parameter": "3", "name": "ilp_2", "value": 22844818874189863548698688127341388}, {"parameter": "5", "name": "ilp_3", "value": 983411198527397133334817173541721249713068}, {"parameter": "6", "name": "ilp_3", "value": 148037211881288142907544358503947200017}, {"parameter": "7", "name": "ilp_3", "value": 22532262446576637777357551418047028}, {"parameter": "", "name": "anticode", "value": 282472589764}, {"parameter": "", "name": "linear_programming_bound", "value": 282472589764}, {"parameter": "", "name": "sphere_packing", "value": 27859535212514238093012343415274}, {"parameter": "", "name": "spread_bound", "value": 282472589764}, {"parameter": "", "name": "XiaFuJohnson1", "value": 282472589764}, {"parameter": "8", "name": "ilp_4", "value": 22532262446576637777357551418047028}, {"parameter": "9", "name": "ilp_4", "value": 30903743139967601922605504701508}, {"parameter": "10", "name": "ilp_4", "value": 42394119603573156322395024056}, {"parameter": "11", "name": "ilp_4", "value": 58154297647157193952246068}, {"parameter": "12", "name": "ilp_4", "value": 79778602826943976162834}, {"parameter": "13", "name": "ilp_4", "value": 109435666630896826040}, {"parameter": "14", "name": "ilp_4", "value": 150117513687497168}, {"parameter": "15", "name": "ilp_4", "value": 205922515615361}, {"parameter": "", "name": "johnson_1", "value": 282472589764}, {"parameter": "", "name": "johnson_2", "value": 205922515615361}, {"parameter": "0, 4", "name": "Ahlswede_Aydinian", "value": 7258558056330718241144285557911444544132154908}, {"parameter": "0, 5", "name": "Ahlswede_Aydinian", "value": 983411198527397133334817173541721249713068}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 148037211881288142907544358503947200017}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 22532262446576637777357551418047028}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 22532262446576637777357551418047028}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 30903743139967601922605504701508}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 42394119603573156322395024056}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 58154297647157193952246068}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 79778602826943976162834}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 109435666630896826040}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 150117513687497168}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 205922515615361}, {"parameter": "1, 3", "name": "Ahlswede_Aydinian", "value": 22844818874189863548698688127341388}, {"parameter": "1, 4", "name": "Ahlswede_Aydinian", "value": 27859535212514238093012343415274}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 37744933224905046947226628653}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 37744933234515660049282632988}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 465348579481283594899357179}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 5748059993698279549675284}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 71011754514610915195269}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 876688144522081249344}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 10823480941824311243}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 133641429559907467}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 1651906250557021}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 20620223495028}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 282817489141}, {"parameter": "2, 2", "name": "Ahlswede_Aydinian", "value": 79888188588210217752724}, {"parameter": "2, 3", "name": "Ahlswede_Aydinian", "value": 877892182291060618292}, {"parameter": "2, 4", "name": "Ahlswede_Aydinian", "value": 877892182318386844745}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 96355470518813910982}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 10823491236251862633}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 1202429133179611923}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 133621143930252842}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 14846793466824217}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 1649673732927589}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 183324370589793}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 20396705276112}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 2293967967023}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 285959905687}, {"parameter": "3, 1", "name": "Ahlswede_Aydinian", "value": 282472589764}, {"parameter": "3, 2", "name": "Ahlswede_Aydinian", "value": 282472589764}, {"parameter": "3, 3", "name": "Ahlswede_Aydinian", "value": 282472589772}, {"parameter": "3, 4", "name": "Ahlswede_Aydinian", "value": 282472589845}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 282472590501}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 282472596398}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 282472649478}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 282473127192}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 282477426688}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 282516127397}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 282864859571}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 286038320709}, {"parameter": "3, 13", "name": "Ahlswede_Aydinian", "value": 317733228541}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 7258558056330718241144285557911444544132154908}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 22844818874189863548698688127341388}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 79888188588210217752724}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 282472589764}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 983411198527397133334817173541721249713068}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 27859535212514238093012343415274}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 877892182291060618292}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 887646538738798201982}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 986273931928855159841}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 148037211881288142907544358503947200017}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 37744933224905046947226628653}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 37796140568841104930316943784}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 38262759588088926089869292405}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 42986557066730102910348722371}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 22532262446576637777357551418047028}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 22535692531018963187592793817381681}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 22566605689426693822676973840733467}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 22848301315347255938609692717351043}, {"parameter": "3, 13, o", "name": "Ahlswede_Aydinian", "value": 25700421225173962543056800181928315}, {"parameter": "", "name": "improved_johnson", "value": 282472589764}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 109437520954783023272}], "known_codes": [], "upper_bound": 282472589764, "classified": false, "lower_bound": 282472589764, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 282429536481}, {"parameter": "", "name": "sphere_covering", "value": 344478769}, {"parameter": "", "name": "graham_sloane", "value": 10}, {"parameter": "", "name": "partial_spread_3", "value": 282472589764}, {"parameter": "", "name": "multicomponent", "value": 282472589764}, {"parameter": "[(0, 1, 2, 3), (4, 5, 6, 7), (8, 9, 10, 11), (12, 13, 14, 15)]", "name": "ef_computation", "value": 282472589764}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 282429536481}, {"parameter": "(4, 12)", "name": "CKMP2019_Lem_41", "value": 282472589764}, {"parameter": "(5, 11)", "name": "CKMP2019_Lem_41", "value": 31385842579}, {"parameter": "(6, 10)", "name": "CKMP2019_Lem_41", "value": 3487315843}, {"parameter": "(7, 9)", "name": "CKMP2019_Lem_41", "value": 387479539}, {"parameter": "(8, 8)", "name": "CKMP2019_Lem_41", "value": 282472589764}, {"parameter": "(9, 7)", "name": "CKMP2019_Lem_41", "value": 282434319451}, {"parameter": "(10, 6)", "name": "CKMP2019_Lem_41", "value": 282430067923}, {"parameter": "(11, 5)", "name": "CKMP2019_Lem_41", "value": 282429595531}, {"parameter": "(12, 4)", "name": "CKMP2019_Lem_41", "value": 282472589764}, {"parameter": "(4, 4, 8)", "name": "CKMP2019_Lem_41", "value": 282472589764}, {"parameter": "(4, 5, 7)", "name": "CKMP2019_Lem_41", "value": 282434319451}, {"parameter": "(4, 6, 6)", "name": "CKMP2019_Lem_41", "value": 282430067923}, {"parameter": "(4, 7, 5)", "name": "CKMP2019_Lem_41", "value": 282429595531}, {"parameter": "(4, 8, 4)", "name": "CKMP2019_Lem_41", "value": 282472589764}, {"parameter": "(5, 4, 7)", "name": "CKMP2019_Lem_41", "value": 31385842579}, {"parameter": "(5, 5, 6)", "name": "CKMP2019_Lem_41", "value": 31381591051}, {"parameter": "(5, 6, 5)", "name": "CKMP2019_Lem_41", "value": 31381118659}, {"parameter": "(5, 7, 4)", "name": "CKMP2019_Lem_41", "value": 31381066171}, {"parameter": "(6, 4, 6)", "name": "CKMP2019_Lem_41", "value": 3487315843}, {"parameter": "(6, 5, 5)", "name": "CKMP2019_Lem_41", "value": 3486843451}, {"parameter": "(6, 6, 4)", "name": "CKMP2019_Lem_41", "value": 3486790963}, {"parameter": "(7, 4, 5)", "name": "CKMP2019_Lem_41", "value": 387479539}, {"parameter": "(7, 5, 4)", "name": "CKMP2019_Lem_41", "value": 387427051}, {"parameter": "(8, 4, 4)", "name": "CKMP2019_Lem_41", "value": 282472589764}, {"parameter": "(4, 4, 4, 4)", "name": "CKMP2019_Lem_41", "value": 282472589764}, {"parameter": "(4, 12)", "name": "CKMP2019_Cor_42", "value": 282472589764}, {"parameter": "(5, 11)", "name": "CKMP2019_Cor_42", "value": 31385842579}, {"parameter": "(6, 10)", "name": "CKMP2019_Cor_42", "value": 3487315843}, {"parameter": "(7, 9)", "name": "CKMP2019_Cor_42", "value": 387479539}, {"parameter": "(8, 8)", "name": "CKMP2019_Cor_42", "value": 282472589764}, {"parameter": "(9, 7)", "name": "CKMP2019_Cor_42", "value": 282434319451}, {"parameter": "(10, 6)", "name": "CKMP2019_Cor_42", "value": 282430067923}, {"parameter": "(11, 5)", "name": "CKMP2019_Cor_42", "value": 282429595531}, {"parameter": "(12, 4)", "name": "CKMP2019_Cor_42", "value": 282472589764}, {"parameter": "(4, 4, 8)", "name": "CKMP2019_Cor_42", "value": 282472589764}, {"parameter": "(4, 5, 7)", "name": "CKMP2019_Cor_42", "value": 282434319451}, {"parameter": "(4, 6, 6)", "name": "CKMP2019_Cor_42", "value": 282430067923}, {"parameter": "(4, 7, 5)", "name": "CKMP2019_Cor_42", "value": 282429595531}, {"parameter": "(4, 8, 4)", "name": "CKMP2019_Cor_42", "value": 282472589764}, {"parameter": "(5, 4, 7)", "name": "CKMP2019_Cor_42", "value": 31385842579}, {"parameter": "(5, 5, 6)", "name": "CKMP2019_Cor_42", "value": 31381591051}, {"parameter": "(5, 6, 5)", "name": "CKMP2019_Cor_42", "value": 31381118659}, {"parameter": "(5, 7, 4)", "name": "CKMP2019_Cor_42", "value": 31381066171}, {"parameter": "(6, 4, 6)", "name": "CKMP2019_Cor_42", "value": 3487315843}, {"parameter": "(6, 5, 5)", "name": "CKMP2019_Cor_42", "value": 3486843451}, {"parameter": "(6, 6, 4)", "name": "CKMP2019_Cor_42", "value": 3486790963}, {"parameter": "(7, 4, 5)", "name": "CKMP2019_Cor_42", "value": 387479539}, {"parameter": "(7, 5, 4)", "name": "CKMP2019_Cor_42", "value": 387427051}, {"parameter": "(8, 4, 4)", "name": "CKMP2019_Cor_42", "value": 282472589764}, {"parameter": "(4, 4, 4, 4)", "name": "CKMP2019_Cor_42", "value": 282472589764}, {"parameter": "4", "name": "linkage_GLT", "value": 282472589764}, {"parameter": "5", "name": "linkage_GLT", "value": 31385842579}, {"parameter": "6", "name": "linkage_GLT", "value": 3487315843}, {"parameter": "7", "name": "linkage_GLT", "value": 387479539}, {"parameter": "8", "name": "linkage_GLT", "value": 282472589764}, {"parameter": "9", "name": "linkage_GLT", "value": 282434319451}, {"parameter": "10", "name": "linkage_GLT", "value": 282430067923}, {"parameter": "11", "name": "linkage_GLT", "value": 282429595531}, {"parameter": "12", "name": "linkage_GLT", "value": 282472589764}, {"parameter": "4", "name": "improved_linkage", "value": 282472589764}, {"parameter": "5", "name": "improved_linkage", "value": 31385842579}, {"parameter": "6", "name": "improved_linkage", "value": 3487315843}, {"parameter": "7", "name": "improved_linkage", "value": 387479539}, {"parameter": "8", "name": "improved_linkage", "value": 282472589764}, {"parameter": "9", "name": "improved_linkage", "value": 282434319451}, {"parameter": "10", "name": "improved_linkage", "value": 282430067923}, {"parameter": "11", "name": "improved_linkage", "value": 282429595531}, {"parameter": "12", "name": "improved_linkage", "value": 282472589764}, {"parameter": "4,0", "name": "generalized_linkage", "value": 282472589764}, {"parameter": "5,0", "name": "generalized_linkage", "value": 31385842579}, {"parameter": "6,0", "name": "generalized_linkage", "value": 3487315843}, {"parameter": "7,0", "name": "generalized_linkage", "value": 387479539}, {"parameter": "8,0", "name": "generalized_linkage", "value": 282472589764}, {"parameter": "9,0", "name": "generalized_linkage", "value": 282434319451}, {"parameter": "10,0", "name": "generalized_linkage", "value": 282430067923}, {"parameter": "11,0", "name": "generalized_linkage", "value": 282429595531}, {"parameter": "12,0", "name": "generalized_linkage", "value": 282472589764}, {"parameter": "[4, 12],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 282472589764}, {"parameter": "[5, 11],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 31385842579}, {"parameter": "[6, 10],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 3487315843}, {"parameter": "[7, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 387479539}, {"parameter": "[8, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 282472589764}, {"parameter": "[9, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 282434319451}, {"parameter": "[10, 6],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 282430067923}, {"parameter": "[11, 5],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 282429595531}, {"parameter": "[12, 4],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 282472589764}, {"parameter": "[4, 4, 8],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 282472589764}, {"parameter": "[4, 5, 7],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 282434319451}, {"parameter": "[4, 6, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 282430067923}, {"parameter": "[4, 7, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 282429595531}, {"parameter": "[4, 8, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 282472589764}, {"parameter": "[5, 4, 7],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 31385842579}, {"parameter": "[5, 5, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 31381591051}, {"parameter": "[5, 6, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 31381118659}, {"parameter": "[5, 7, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 31381066171}, {"parameter": "[6, 4, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 3487315843}, {"parameter": "[6, 5, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 3486843451}, {"parameter": "[6, 6, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 3486790963}, {"parameter": "[7, 4, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 387479539}, {"parameter": "[7, 5, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 387427051}, {"parameter": "[8, 4, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 282472589764}, {"parameter": "[4, 4, 4, 4],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 282472589764}, {"parameter": "", "name": "JohnsonLB", "value": 282424760073}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 9}], "request": [9, 16, 8, 4], "liftedmrdsizebound": 282472589764, "comments": "", "equal_bound_constraints": [{"parameter": "", "name": "spread", "value": 282472589764}, {"parameter": "", "name": "partial_spread_NS", "value": 282472589764}]}