{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 33165216768196105736186294932151329554455695845}, {"parameter": "", "name": "singleton", "value": 5592405}, {"parameter": "1", "name": "ilp_2", "value": 4194560}, {"parameter": "2", "name": "ilp_2", "value": 17597556128851}, {"parameter": "3", "name": "ilp_2", "value": 73881650093201197844}, {"parameter": "4", "name": "ilp_2", "value": 311097324146360682666091713}, {"parameter": "5", "name": "ilp_2", "value": 1325548440579536768977507017729345}, {"parameter": "6", "name": "ilp_2", "value": 5930403246581051575518277902289145645649}, {"parameter": "8", "name": "ilp_3", "value": 1518206306623763137385502171304707235269201}, {"parameter": "9", "name": "ilp_3", "value": 86872793091390756422191447300025591105}, {"parameter": "10", "name": "ilp_3", "value": 5219451126297706558518047044705063}, {"parameter": "11", "name": "ilp_3", "value": 317325676567933974350947462879}, {"parameter": "12", "name": "ilp_3", "value": 19349109320527659433405321}, {"parameter": "13", "name": "ilp_3", "value": 1180687604073410771089}, {"parameter": "", "name": "anticode", "value": 4194560}, {"parameter": "", "name": "linear_programming_bound", "value": 4194560}, {"parameter": "", "name": "sphere_packing", "value": 12850750801695327494}, {"parameter": "", "name": "DrakeFreeman", "value": 4194433}, {"parameter": "", "name": "partial_spread_5", "value": 4194559}, {"parameter": "4", "name": "partial_spread_HKK16_T10", "value": 4194512}, {"parameter": "5", "name": "partial_spread_HKK16_T10", "value": 4194438}, {"parameter": "6", "name": "partial_spread_HKK16_T10", "value": 4194433}, {"parameter": "7", "name": "partial_spread_HKK16_T10", "value": 4194433}, {"parameter": "", "name": "partial_spread_kurz16_additional", "value": 4194432}, {"parameter": "", "name": "partial_spread_NS_2_Theorem6", "value": 4194542}, {"parameter": "", "name": "spread_bound", "value": 4194560}, {"parameter": "", "name": "XiaFuJohnson1", "value": 4194560}, {"parameter": "14", "name": "ilp_4", "value": 1180687604073410771089}, {"parameter": "15", "name": "ilp_4", "value": 288236217247021430}, {"parameter": "16", "name": "ilp_4", "value": 70369096494483}, {"parameter": "17", "name": "ilp_4", "value": 17180348415}, {"parameter": "", "name": "johnson_1", "value": 4194560}, {"parameter": "", "name": "johnson_2", "value": 17180348415}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 33165216768196105736186294932151329554455695845}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 1518206306623763137385502171304707235269201}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 86872793091390756422191447300025591105}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 5219451126297706558518047044705063}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 317325676567933974350947462879}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 19349109320527659433405321}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 1180687604073410771089}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 1180687604073410771089}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 288236217247021430}, {"parameter": "0, 16", "name": "Ahlswede_Aydinian", "value": 70369096494483}, {"parameter": "0, 17", "name": "Ahlswede_Aydinian", "value": 17180348415}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 5930403246581051575518277902289145645649}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 1085955741956758286159225541405605306}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 248559514431526749037042237736300}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 59735694649962271642346869295}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 14527121502777635738944052}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 3543360007157129189703}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 3544008855325733279024}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 3462637701416934565}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 3391218865904717}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 3351474870106}, {"parameter": "1, 16", "name": "Ahlswede_Aydinian", "value": 3436568441}, {"parameter": "1, 17", "name": "Ahlswede_Aydinian", "value": 4194852}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 1325548440579536768977507017729345}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 971097975564626223118985180738}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 889121812084449454790163715}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 854732194085771616573378}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 831453920764384259590}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 831501464984360539280}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 3245626678086532430}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 12689065531415301}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 49760142663344}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 197271909191}, {"parameter": "2, 15", "name": "Ahlswede_Aydinian", "value": 819088862}, {"parameter": "2, 16", "name": "Ahlswede_Aydinian", "value": 4198401}, {"parameter": "3, 4", "name": "Ahlswede_Aydinian", "value": 311097324146360682666091713}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 912309081949323642385131}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 3341794636959059697260}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 12850750801695327494}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 12850943261609501783}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 200027236063779135}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 3126939010608565}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 48932128367761}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 768909689987}, {"parameter": "3, 13", "name": "Ahlswede_Aydinian", "value": 12201189280}, {"parameter": "3, 14", "name": "Ahlswede_Aydinian", "value": 203115052}, {"parameter": "3, 15", "name": "Ahlswede_Aydinian", "value": 4210722}, {"parameter": "4, 3", "name": "Ahlswede_Aydinian", "value": 73881650093201197844}, {"parameter": "4, 4", "name": "Ahlswede_Aydinian", "value": 869196087443914423}, {"parameter": "4, 5", "name": "Ahlswede_Aydinian", "value": 12744822630830429}, {"parameter": "4, 6", "name": "Ahlswede_Aydinian", "value": 12744870488999765}, {"parameter": "4, 7", "name": "Ahlswede_Aydinian", "value": 784347408172344}, {"parameter": "4, 8", "name": "Ahlswede_Aydinian", "value": 49215747739070}, {"parameter": "4, 9", "name": "Ahlswede_Aydinian", "value": 3097572697333}, {"parameter": "4, 10", "name": "Ahlswede_Aydinian", "value": 193738010089}, {"parameter": "4, 11", "name": "Ahlswede_Aydinian", "value": 12156096265}, {"parameter": "4, 12", "name": "Ahlswede_Aydinian", "value": 771705579}, {"parameter": "4, 13", "name": "Ahlswede_Aydinian", "value": 51393503}, {"parameter": "4, 14", "name": "Ahlswede_Aydinian", "value": 4260873}, {"parameter": "5, 2", "name": "Ahlswede_Aydinian", "value": 17597556128851}, {"parameter": "5, 3", "name": "Ahlswede_Aydinian", "value": 837979053368}, {"parameter": "5, 4", "name": "Ahlswede_Aydinian", "value": 837979813730}, {"parameter": "5, 5", "name": "Ahlswede_Aydinian", "value": 197316991086}, {"parameter": "5, 6", "name": "Ahlswede_Aydinian", "value": 51606731510}, {"parameter": "5, 7", "name": "Ahlswede_Aydinian", "value": 12855205107}, {"parameter": "5, 8", "name": "Ahlswede_Aydinian", "value": 3223403479}, {"parameter": "5, 9", "name": "Ahlswede_Aydinian", "value": 806415704}, {"parameter": "5, 10", "name": "Ahlswede_Aydinian", "value": 202390714}, {"parameter": "5, 11", "name": "Ahlswede_Aydinian", "value": 51360368}, {"parameter": "5, 12", "name": "Ahlswede_Aydinian", "value": 13651457}, {"parameter": "5, 13", "name": "Ahlswede_Aydinian", "value": 4473921}, {"parameter": "6, 1", "name": "Ahlswede_Aydinian", "value": 4194560}, {"parameter": "6, 2", "name": "Ahlswede_Aydinian", "value": 4194560}, {"parameter": "6, 3", "name": "Ahlswede_Aydinian", "value": 4194564}, {"parameter": "6, 4", "name": "Ahlswede_Aydinian", "value": 4194576}, {"parameter": "6, 5", "name": "Ahlswede_Aydinian", "value": 4194628}, {"parameter": "6, 6", "name": "Ahlswede_Aydinian", "value": 4194832}, {"parameter": "6, 7", "name": "Ahlswede_Aydinian", "value": 4195652}, {"parameter": "6, 8", "name": "Ahlswede_Aydinian", "value": 4198931}, {"parameter": "6, 9", "name": "Ahlswede_Aydinian", "value": 4212088}, {"parameter": "6, 10", "name": "Ahlswede_Aydinian", "value": 4265350}, {"parameter": "6, 11", "name": "Ahlswede_Aydinian", "value": 4489029}, {"parameter": "6, 12", "name": "Ahlswede_Aydinian", "value": 5592405}, {"parameter": "0, 11, o", "name": "Ahlswede_Aydinian", "value": 33165216768196105736186294932151329554455695845}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 5930403246581051575518277902289145645649}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 1325548440579536768977507017729345}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 311097324146360682666091713}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 73881650093201197844}, {"parameter": "0, 16, o", "name": "Ahlswede_Aydinian", "value": 17597556128851}, {"parameter": "0, 17, o", "name": "Ahlswede_Aydinian", "value": 4194560}, {"parameter": "1, 10, o", "name": "Ahlswede_Aydinian", "value": 1518206306623763137385502171304707235269201}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 1085955741956758286159225541405605306}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 971097975564626223118985180738}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 912309081949323642385131}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 869196087443914423}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 837979053368}, {"parameter": "1, 16, o", "name": "Ahlswede_Aydinian", "value": 879772218898}, {"parameter": "1, 17, o", "name": "Ahlswede_Aydinian", "value": 1099715063870}, {"parameter": "2, 9, o", "name": "Ahlswede_Aydinian", "value": 86872793091390756422191447300025591105}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 248559514431526749037042237736300}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 889121812084449454790163715}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 3341794636959059697260}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 12744822630830429}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 12928599030879639}, {"parameter": "2, 15, o", "name": "Ahlswede_Aydinian", "value": 13736633973039091}, {"parameter": "2, 16, o", "name": "Ahlswede_Aydinian", "value": 18029314895768325}, {"parameter": "3, 8, o", "name": "Ahlswede_Aydinian", "value": 5219451126297706558518047044705063}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 59735694649962271642346869295}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 854732194085771616573378}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 12850750801695327494}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 12900357908965562542}, {"parameter": "3, 13, o", "name": "Ahlswede_Aydinian", "value": 13101923628779922250}, {"parameter": "3, 14, o", "name": "Ahlswede_Aydinian", "value": 13961726715089668810}, {"parameter": "3, 15, o", "name": "Ahlswede_Aydinian", "value": 18542844022278517045}, {"parameter": "4, 7, o", "name": "Ahlswede_Aydinian", "value": 317325676567933974350947462879}, {"parameter": "4, 8, o", "name": "Ahlswede_Aydinian", "value": 14527121502777635738944052}, {"parameter": "4, 9, o", "name": "Ahlswede_Aydinian", "value": 831453920764384259590}, {"parameter": "4, 10, o", "name": "Ahlswede_Aydinian", "value": 832111077106784899504}, {"parameter": "4, 11, o", "name": "Ahlswede_Aydinian", "value": 835361342236325973432}, {"parameter": "4, 12, o", "name": "Ahlswede_Aydinian", "value": 848568633785047309762}, {"parameter": "4, 13, o", "name": "Ahlswede_Aydinian", "value": 904916100163419890834}, {"parameter": "4, 14, o", "name": "Ahlswede_Aydinian", "value": 1205356982295768287420}, {"parameter": "5, 6, o", "name": "Ahlswede_Aydinian", "value": 19349109320527659433405321}, {"parameter": "5, 7, o", "name": "Ahlswede_Aydinian", "value": 3543360007157129189703}, {"parameter": "5, 8, o", "name": "Ahlswede_Aydinian", "value": 3544224293186996288894}, {"parameter": "5, 9, o", "name": "Ahlswede_Aydinian", "value": 3547684815163893646514}, {"parameter": "5, 10, o", "name": "Ahlswede_Aydinian", "value": 3561581160671636516615}, {"parameter": "5, 11, o", "name": "Ahlswede_Aydinian", "value": 3618048439896230481015}, {"parameter": "5, 12, o", "name": "Ahlswede_Aydinian", "value": 3858968309596375671721}, {"parameter": "5, 13, o", "name": "Ahlswede_Aydinian", "value": 1285630756637186234711}, {"parameter": "6, 5, o", "name": "Ahlswede_Aydinian", "value": 1180687604073410771089}, {"parameter": "6, 6, o", "name": "Ahlswede_Aydinian", "value": 1180759601542500836189}, {"parameter": "6, 7, o", "name": "Ahlswede_Aydinian", "value": 1181047661680581189622}, {"parameter": "6, 8, o", "name": "Ahlswede_Aydinian", "value": 1182201027518289890522}, {"parameter": "6, 9, o", "name": "Ahlswede_Aydinian", "value": 1186832565974007768014}, {"parameter": "6, 10, o", "name": "Ahlswede_Aydinian", "value": 1205652507538910952831}, {"parameter": "6, 11, o", "name": "Ahlswede_Aydinian", "value": 1285945932780069243427}, {"parameter": "6, 12, o", "name": "Ahlswede_Aydinian", "value": 1714043588198181437925}, {"parameter": "", "name": "improved_johnson", "value": 4194549}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 274889703596}], "known_codes": [], "upper_bound": 4194432, "classified": false, "lower_bound": 4194305, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 4194304}, {"parameter": "", "name": "sphere_covering", "value": 769}, {"parameter": "", "name": "graham_sloane", "value": 1}, {"parameter": "", "name": "partial_spread_3", "value": 4194305}, {"parameter": "", "name": "multicomponent", "value": 4194305}, {"parameter": "[(0, 1, 2, 3, 4, 5, 6), (11, 12, 13, 14, 15, 16, 17)]", "name": "ef_computation", "value": 4194305}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 4194304}, {"parameter": "(7, 11)", "name": "CKMP2019_Lem_41", "value": 4194305}, {"parameter": "(8, 10)", "name": "CKMP2019_Lem_41", "value": 1048577}, {"parameter": "(9, 9)", "name": "CKMP2019_Lem_41", "value": 262145}, {"parameter": "(10, 8)", "name": "CKMP2019_Lem_41", "value": 65537}, {"parameter": "(11, 7)", "name": "CKMP2019_Lem_41", "value": 16385}, {"parameter": "(7, 11)", "name": "CKMP2019_Cor_42", "value": 4194305}, {"parameter": "(8, 10)", "name": "CKMP2019_Cor_42", "value": 1048577}, {"parameter": "(9, 9)", "name": "CKMP2019_Cor_42", "value": 262145}, {"parameter": "(10, 8)", "name": "CKMP2019_Cor_42", "value": 65537}, {"parameter": "(11, 7)", "name": "CKMP2019_Cor_42", "value": 16385}, {"parameter": "7", "name": "linkage_GLT", "value": 4194305}, {"parameter": "8", "name": "linkage_GLT", "value": 1048577}, {"parameter": "9", "name": "linkage_GLT", "value": 262145}, {"parameter": "10", "name": "linkage_GLT", "value": 65537}, {"parameter": "11", "name": "linkage_GLT", "value": 16385}, {"parameter": "7", "name": "improved_linkage", "value": 4194305}, {"parameter": "8", "name": "improved_linkage", "value": 1048577}, {"parameter": "9", "name": "improved_linkage", "value": 262145}, {"parameter": "10", "name": "improved_linkage", "value": 65537}, {"parameter": "11", "name": "improved_linkage", "value": 16385}, {"parameter": "7,0", "name": "generalized_linkage", "value": 4194305}, {"parameter": "8,0", "name": "generalized_linkage", "value": 1048577}, {"parameter": "9,0", "name": "generalized_linkage", "value": 262145}, {"parameter": "10,0", "name": "generalized_linkage", "value": 65537}, {"parameter": "11,0", "name": "generalized_linkage", "value": 16385}, {"parameter": "[7, 11],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 4194305}, {"parameter": "[8, 10],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1048577}, {"parameter": "[9, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 262145}, {"parameter": "[10, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 65537}, {"parameter": "[11, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 16385}, {"parameter": "", "name": "JohnsonLB", "value": 4194241}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 4}], "request": [4, 18, 14, 7], "liftedmrdsizebound": 4194305, "comments": "", "equal_bound_constraints": []}