{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 543378943916057125960798910073683007821226491613669}, {"parameter": "", "name": "singleton", "value": 114917519925881846404167134693}, {"parameter": "4", "name": "ilp_2", "value": 79640915055349984855720676435}, {"parameter": "5", "name": "ilp_2", "value": 1357361608205073629238157318970909956}, {"parameter": "6", "name": "ilp_2", "value": 24290932059870711531536404218635756404689489}, {"parameter": "8", "name": "ilp_3", "value": 24874293610256677773440096592981597977625382999}, {"parameter": "9", "name": "ilp_3", "value": 1423323926840885190913361977602773942712110}, {"parameter": "10", "name": "ilp_3", "value": 85515492350071065043074462569653823895}, {"parameter": "", "name": "anticode", "value": 79640915055349984855720676435}, {"parameter": "", "name": "linear_programming_bound", "value": 79640915055349984855720676435}, {"parameter": "", "name": "sphere_packing", "value": 4448074188896028996716066847026601958669}, {"parameter": "1", "name": "ilp_1", "value": 79640915055348875125964032808}, {"parameter": "2", "name": "ilp_1", "value": 79640915055348875125964032808}, {"parameter": "3", "name": "ilp_1", "value": 79640915055349984855720676435}, {"parameter": "11", "name": "ilp_4", "value": 85358235949544899402519349281510420821}, {"parameter": "12", "name": "ilp_4", "value": 85358235083096952675679415346560199514}, {"parameter": "13", "name": "ilp_4", "value": 85358235083044120533403271746725080622}, {"parameter": "14", "name": "ilp_4", "value": 85358235083044120533403271746725080622}, {"parameter": "15", "name": "ilp_4", "value": 1336159495957539518367602034113887450}, {"parameter": "16", "name": "ilp_4", "value": 20877174835204604591671757610310095}, {"parameter": "17", "name": "ilp_4", "value": 326206166715331385171448119381771}, {"parameter": "18", "name": "ilp_4", "value": 5096982249229805282857981393471}, {"parameter": "", "name": "johnson_1", "value": 79640915055348875125964032808}, {"parameter": "", "name": "johnson_2", "value": 5096982249229805282857981393471}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 543378943916057125960798910073683007821226491613669}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 24874293610256677773440096592981597977625382999}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 1423323926840885190913361977602773942712110}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 85515492350071065043074462569653823895}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 85358235949544899402519349281510420821}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 85358235083096952675679415346560199514}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 85358235083044120533403271746725080622}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 85358235083044120533403271746725080622}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 1336159495957539518367602034113887450}, {"parameter": "0, 16", "name": "Ahlswede_Aydinian", "value": 20877174835204604591671757610310095}, {"parameter": "0, 17", "name": "Ahlswede_Aydinian", "value": 326206166715331385171448119381771}, {"parameter": "0, 18", "name": "Ahlswede_Aydinian", "value": 5096982249229805282857981393471}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 24290932059870711531536404218635756404689489}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 4448074188896028996716066847026601958669}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 1018099103714400908039821524083854839}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 1018099831782974434224101039889005295}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 1018102520058599857598708426671663246}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 1018114169307003647150357600628555040}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 1018160769184511472856423548712095617}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 63631417937465196156470396795449594}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 3980118008372881216691514287994295}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 249515115128817982606259151922786}, {"parameter": "1, 16", "name": "Ahlswede_Aydinian", "value": 15780252031020974050915749079203}, {"parameter": "1, 17", "name": "Ahlswede_Aydinian", "value": 1035570379734372289107827895923}, {"parameter": "1, 18", "name": "Ahlswede_Aydinian", "value": 80900118436346461335215564097}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 1357361608205073629238157318970909956}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 994404164101100324054888305039287}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 991490914280547624160385963243618}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 991489799539202769764666360803934}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 991493340875702828973443128709827}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 991507514127004417822895295683375}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 248574450132003441468272753578907}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 62143602109603814979433340652901}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 15552797538608649729220340681422}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 3902427891357004624275495821543}, {"parameter": "2, 15", "name": "Ahlswede_Aydinian", "value": 990124720317891920384714054177}, {"parameter": "2, 16", "name": "Ahlswede_Aydinian", "value": 262989411049665518272799910151}, {"parameter": "2, 17", "name": "Ahlswede_Aydinian", "value": 86272391606125817394457344593}, {"parameter": "3, 4", "name": "Ahlswede_Aydinian", "value": 79640915055349984855720676435}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 79640919714444113952491993416}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 79640938350825040972367361990}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 79641012896419319243496967308}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 79641311079925559681219091878}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 79642503832016833465367501439}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 79647275129460482649699207755}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 79666364945616154503959245799}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 79742798304355553676469279464}, {"parameter": "3, 13", "name": "Ahlswede_Aydinian", "value": 80049721872431322967986137137}, {"parameter": "3, 14", "name": "Ahlswede_Aydinian", "value": 81296759100088512354916804078}, {"parameter": "3, 15", "name": "Ahlswede_Aydinian", "value": 86614926132340431070694527890}, {"parameter": "3, 16", "name": "Ahlswede_Aydinian", "value": 114917519925881846404167134693}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 543378943916057125960798910073683007821226491613669}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 24290932059870711531536404218635756404689489}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 1357361608205073629238157318970909956}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 79640915055349984855720676435}, {"parameter": "0, 16, o", "name": "Ahlswede_Aydinian", "value": 79640915055349984855720676435}, {"parameter": "0, 17, o", "name": "Ahlswede_Aydinian", "value": 79640915055348875125964032808}, {"parameter": "0, 18, o", "name": "Ahlswede_Aydinian", "value": 79640915055348875125964032808}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 24874293610256677773440096592981597977625382999}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 4448074188896028996716066847026601958669}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 994404164101100324054888305039287}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 995131508816547317152775417787590}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 998058365669719019677227742254885}, {"parameter": "1, 16, o", "name": "Ahlswede_Aydinian", "value": 1009940010721777670099137177782576}, {"parameter": "1, 17, o", "name": "Ahlswede_Aydinian", "value": 1060437001626474566565600955391260}, {"parameter": "1, 18, o", "name": "Ahlswede_Aydinian", "value": 1325546188827086881185255351968077}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 1423323926840885190913361977602773942712110}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 1018099103714400908039821524083854839}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 1018332184844280245379736136413852541}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 1019265406486180697140045578826494203}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 1023012703082012361562902117385344471}, {"parameter": "2, 15, o", "name": "Ahlswede_Aydinian", "value": 1038236095307856328647877410778762194}, {"parameter": "2, 16, o", "name": "Ahlswede_Aydinian", "value": 1103125801169029190395131692041122600}, {"parameter": "2, 17, o", "name": "Ahlswede_Aydinian", "value": 1447852268844670754004670824367475281}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 85515492350071065043074462569653823895}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 85520630546489819543902647432637485164}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 85541188331537836309173913375321690977}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 85623499539812804489290246211390287217}, {"parameter": "3, 13, o", "name": "Ahlswede_Aydinian", "value": 85954030481194488607691292849700359538}, {"parameter": "3, 14, o", "name": "Ahlswede_Aydinian", "value": 87297058289732771991847628746214189423}, {"parameter": "3, 15, o", "name": "Ahlswede_Aydinian", "value": 93025909996966826017119416985591255881}, {"parameter": "3, 16, o", "name": "Ahlswede_Aydinian", "value": 123549912998815788062283863044996567525}, {"parameter": "", "name": "improved_johnson", "value": 79640915055348875125964032801}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 326211822104646477602213200214691}], "known_codes": [], "upper_bound": 79640915055348875125964032801, "classified": false, "lower_bound": 79228162532711081671548469248, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 79228162514264337593543950336}, {"parameter": "", "name": "sphere_covering", "value": 3289780083494222458904}, {"parameter": "", "name": "graham_sloane", "value": 78488233443094053}, {"parameter": "", "name": "multicomponent", "value": 79228162532711081667253518337}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 79228162514264337593543950337}, {"parameter": "", "name": "two_pivot_block_construction", "value": 79228162532711081667253501952}, {"parameter": "(7, 12)", "name": "CKMP2019_Lem_41", "value": 79228162514264337593812386049}, {"parameter": "(8, 11)", "name": "CKMP2019_Lem_41", "value": 309485009821345068724797441}, {"parameter": "(9, 10)", "name": "CKMP2019_Lem_41", "value": 1208925819614629174706177}, {"parameter": "(10, 9)", "name": "CKMP2019_Lem_41", "value": 4722366482869645213697}, {"parameter": "(11, 8)", "name": "CKMP2019_Lem_41", "value": 302249901647731003228161}, {"parameter": "(12, 7)", "name": "CKMP2019_Lem_41", "value": 19342831632635734542778369}, {"parameter": "(7, 12)", "name": "CKMP2019_Cor_42", "value": 79228162514264337593812386049}, {"parameter": "(8, 11)", "name": "CKMP2019_Cor_42", "value": 309485009821345068724797441}, {"parameter": "(9, 10)", "name": "CKMP2019_Cor_42", "value": 1208925819614629174706177}, {"parameter": "(10, 9)", "name": "CKMP2019_Cor_42", "value": 4722366482869645213697}, {"parameter": "(11, 8)", "name": "CKMP2019_Cor_42", "value": 302249901647731003228161}, {"parameter": "(12, 7)", "name": "CKMP2019_Cor_42", "value": 19342831632635734542778369}, {"parameter": "7", "name": "linkage_GLT", "value": 79228162514264337593812386049}, {"parameter": "8", "name": "linkage_GLT", "value": 309485009821345068724797441}, {"parameter": "9", "name": "linkage_GLT", "value": 1208925819614629174706177}, {"parameter": "10", "name": "linkage_GLT", "value": 4722366482869645213697}, {"parameter": "11", "name": "linkage_GLT", "value": 302249901647731003228161}, {"parameter": "12", "name": "linkage_GLT", "value": 19342831632635734542778369}, {"parameter": "7", "name": "improved_linkage", "value": 79228162532711081671548469248}, {"parameter": "8", "name": "improved_linkage", "value": 309485009893402662779503824}, {"parameter": "9", "name": "improved_linkage", "value": 1208925819619027221221441}, {"parameter": "10", "name": "improved_linkage", "value": 4722366482869913649409}, {"parameter": "11", "name": "improved_linkage", "value": 302249901647731003244545}, {"parameter": "12", "name": "improved_linkage", "value": 19342831632635734542778369}, {"parameter": "13", "name": "improved_linkage", "value": 19342813132134338328002561}, {"parameter": "14", "name": "improved_linkage", "value": 19342813118342395181662209}, {"parameter": "15", "name": "improved_linkage", "value": 302231454974026037854209}, {"parameter": "7,0", "name": "generalized_linkage", "value": 79228162514264355532565778700}, {"parameter": "7,1", "name": "generalized_linkage", "value": 79228162514265538260242617681}, {"parameter": "7,2", "name": "generalized_linkage", "value": 79228162514336395187598673104}, {"parameter": "7,3", "name": "generalized_linkage", "value": 79228162532711081671548469248}, {"parameter": "8,0", "name": "generalized_linkage", "value": 309485009821345069819757836}, {"parameter": "8,1", "name": "generalized_linkage", "value": 309485009821345361051272513}, {"parameter": "8,2", "name": "generalized_linkage", "value": 309485009821349466771296321}, {"parameter": "8,3", "name": "generalized_linkage", "value": 309485009893402662779503824}, {"parameter": "9,0", "name": "generalized_linkage", "value": 1208925819614629174773004}, {"parameter": "9,1", "name": "generalized_linkage", "value": 1208925819614629192549441}, {"parameter": "9,2", "name": "generalized_linkage", "value": 1208925819614629443141889}, {"parameter": "9,3", "name": "generalized_linkage", "value": 1208925819619027221221441}, {"parameter": "10,0", "name": "generalized_linkage", "value": 4722366482869645280524}, {"parameter": "10,1", "name": "generalized_linkage", "value": 4722366482869645214785}, {"parameter": "10,2", "name": "generalized_linkage", "value": 4722366482869645230081}, {"parameter": "10,3", "name": "generalized_linkage", "value": 4722366482869913649409}, {"parameter": "11,0", "name": "generalized_linkage", "value": 302249901647731003294988}, {"parameter": "11,1", "name": "generalized_linkage", "value": 302249901647731003229249}, {"parameter": "11,2", "name": "generalized_linkage", "value": 302249901647731003228161}, {"parameter": "11,3", "name": "generalized_linkage", "value": 302249901647731003244545}, {"parameter": "12,0", "name": "generalized_linkage", "value": 19342831632635734543044673}, {"parameter": "12,1", "name": "generalized_linkage", "value": 19342831632635734542779457}, {"parameter": "12,2", "name": "generalized_linkage", "value": 19342831632635734542778369}, {"parameter": "12,3", "name": "generalized_linkage", "value": 19342831632635734542778369}, {"parameter": "13,1", "name": "generalized_linkage", "value": 19342813132134338328003649}, {"parameter": "13,2", "name": "generalized_linkage", "value": 19342813132134338328002561}, {"parameter": "13,3", "name": "generalized_linkage", "value": 19342813132134338328002561}, {"parameter": "14,2", "name": "generalized_linkage", "value": 19342813118342395181662209}, {"parameter": "14,3", "name": "generalized_linkage", "value": 19342813118342395181662209}, {"parameter": "15,3", "name": "generalized_linkage", "value": 302231454974026037854209}, {"parameter": "[7, 12],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 79228162514264355532565778700}, {"parameter": "[7, 12],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 79228162514265538260242617681}, {"parameter": "[7, 12],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 79228162514336395187598673104}, {"parameter": "[7, 12],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 79228162532711081671548469248}, {"parameter": "[8, 11],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 309485009821345069819757836}, {"parameter": "[8, 11],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 309485009821345361051272513}, {"parameter": "[8, 11],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 309485009821349466771296321}, {"parameter": "[8, 11],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 309485009893402662779503824}, {"parameter": "[9, 10],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1208925819614629174773004}, {"parameter": "[9, 10],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 1208925819614629192549441}, {"parameter": "[9, 10],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 1208925819614629443141889}, {"parameter": "[9, 10],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 1208925819619027221221441}, {"parameter": "[10, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 4722366482869645280524}, {"parameter": "[10, 9],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 4722366482869645214785}, {"parameter": "[10, 9],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 4722366482869645230081}, {"parameter": "[10, 9],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 4722366482869913649409}, {"parameter": "[11, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 302249901647731003294988}, {"parameter": "[11, 8],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 302249901647731003229249}, {"parameter": "[11, 8],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 302249901647731003228161}, {"parameter": "[11, 8],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 302249901647731003244545}, {"parameter": "[12, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 19342831632635734543044673}, {"parameter": "[12, 7],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 19342831632635734542779457}, {"parameter": "[12, 7],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 19342831632635734542778369}, {"parameter": "[12, 7],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 19342831632635734542778369}, {"parameter": "[13, 6],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 19342813132134338328003649}, {"parameter": "[13, 6],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 19342813132134338328002561}, {"parameter": "[13, 6],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 19342813132134338328002561}, {"parameter": "[14, 5],[0, 2]", "name": "generalized_linkage_multipleblocks", "value": 19342813118342395181662209}, {"parameter": "[14, 5],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 19342813118342395181662209}, {"parameter": "[15, 4],[0, 3]", "name": "generalized_linkage_multipleblocks", "value": 302231454974026037854209}, {"parameter": "[7, 4, 8],[0, 3, 0]", "name": "generalized_linkage_multipleblocks", "value": 302249901647731008908540}, {"parameter": "[7, 4, 8],[0, 3, 1]", "name": "generalized_linkage_multipleblocks", "value": 302249901647731003294988}, {"parameter": "[7, 4, 8],[0, 3, 2]", "name": "generalized_linkage_multipleblocks", "value": 302249901647731003294988}, {"parameter": "[7, 4, 8],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 302249901647732098204940}, {"parameter": "[7, 5, 7],[0, 2, 0]", "name": "generalized_linkage_multipleblocks", "value": 19342813185891660850401548}, {"parameter": "[7, 5, 7],[0, 2, 1]", "name": "generalized_linkage_multipleblocks", "value": 19342813185891660834362828}, {"parameter": "[7, 5, 7],[0, 2, 2]", "name": "generalized_linkage_multipleblocks", "value": 19342813185891660833293580}, {"parameter": "[7, 5, 7],[0, 2, 3]", "name": "generalized_linkage_multipleblocks", "value": 19342813185891660833293580}, {"parameter": "[7, 5, 7],[0, 3, 0]", "name": "generalized_linkage_multipleblocks", "value": 19342813185891660850401548}, {"parameter": "[7, 5, 7],[0, 3, 1]", "name": "generalized_linkage_multipleblocks", "value": 19342813185891660834362828}, {"parameter": "[7, 5, 7],[0, 3, 2]", "name": "generalized_linkage_multipleblocks", "value": 19342813185891660833293580}, {"parameter": "[7, 5, 7],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 19342813185891660833293580}, {"parameter": "[7, 6, 6],[0, 1, 1]", "name": "generalized_linkage_multipleblocks", "value": 19342813115034733497174028}, {"parameter": "[7, 6, 6],[0, 1, 2]", "name": "generalized_linkage_multipleblocks", "value": 19342813115034733492897036}, {"parameter": "[7, 6, 6],[0, 1, 3]", "name": "generalized_linkage_multipleblocks", "value": 19342813115034733492897036}, {"parameter": "[7, 6, 6],[0, 2, 1]", "name": "generalized_linkage_multipleblocks", "value": 19342813113838464846153740}, {"parameter": "[7, 6, 6],[0, 2, 2]", "name": "generalized_linkage_multipleblocks", "value": 19342813113838464841876748}, {"parameter": "[7, 6, 6],[0, 2, 3]", "name": "generalized_linkage_multipleblocks", "value": 19342813113838464841876748}, {"parameter": "[7, 6, 6],[0, 3, 1]", "name": "generalized_linkage_multipleblocks", "value": 19342813113838464846153740}, {"parameter": "[7, 6, 6],[0, 3, 2]", "name": "generalized_linkage_multipleblocks", "value": 19342813113838464841876748}, {"parameter": "[7, 6, 6],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 19342813113838464841876748}, {"parameter": "[7, 7, 5],[0, 0, 2]", "name": "generalized_linkage_multipleblocks", "value": 19342813113852005800019212}, {"parameter": "[7, 7, 5],[0, 0, 3]", "name": "generalized_linkage_multipleblocks", "value": 19342813113852005800019212}, {"parameter": "[7, 7, 5],[0, 1, 2]", "name": "generalized_linkage_multipleblocks", "value": 19342813113834140078245132}, {"parameter": "[7, 7, 5],[0, 1, 3]", "name": "generalized_linkage_multipleblocks", "value": 19342813113834140078245132}, {"parameter": "[7, 7, 5],[0, 2, 2]", "name": "generalized_linkage_multipleblocks", "value": 19342813113834067063801100}, {"parameter": "[7, 7, 5],[0, 2, 3]", "name": "generalized_linkage_multipleblocks", "value": 19342813113834067063801100}, {"parameter": "[7, 7, 5],[0, 3, 2]", "name": "generalized_linkage_multipleblocks", "value": 19342813113834067063801100}, {"parameter": "[7, 7, 5],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 19342813113834067063801100}, {"parameter": "[7, 8, 4],[0, 0, 3]", "name": "generalized_linkage_multipleblocks", "value": 302231454903658388653324}, {"parameter": "[7, 8, 4],[0, 1, 3]", "name": "generalized_linkage_multipleblocks", "value": 302231454903657298216204}, {"parameter": "[7, 8, 4],[0, 2, 3]", "name": "generalized_linkage_multipleblocks", "value": 302231454903657293759756}, {"parameter": "[7, 8, 4],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 302231454903657562195212}, {"parameter": "[8, 4, 7],[0, 3, 0]", "name": "generalized_linkage_multipleblocks", "value": 1180663678311454911740}, {"parameter": "[8, 4, 7],[0, 3, 1]", "name": "generalized_linkage_multipleblocks", "value": 1180663678311449298188}, {"parameter": "[8, 4, 7],[0, 3, 2]", "name": "generalized_linkage_multipleblocks", "value": 1180663678311449298188}, {"parameter": "[8, 4, 7],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 1180663678311449298188}, {"parameter": "[8, 5, 6],[0, 2, 1]", "name": "generalized_linkage_multipleblocks", "value": 1180591625115458950604}, {"parameter": "[8, 5, 6],[0, 2, 2]", "name": "generalized_linkage_multipleblocks", "value": 1180591625115457881356}, {"parameter": "[8, 5, 6],[0, 2, 3]", "name": "generalized_linkage_multipleblocks", "value": 1180591625115457881356}, {"parameter": "[8, 5, 6],[0, 3, 1]", "name": "generalized_linkage_multipleblocks", "value": 1180591625115458950604}, {"parameter": "[8, 5, 6],[0, 3, 2]", "name": "generalized_linkage_multipleblocks", "value": 1180591625115457881356}, {"parameter": "[8, 5, 6],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 1180591625115457881356}, {"parameter": "[8, 6, 5],[0, 1, 2]", "name": "generalized_linkage_multipleblocks", "value": 1180591621009737581836}, {"parameter": "[8, 6, 5],[0, 1, 3]", "name": "generalized_linkage_multipleblocks", "value": 1180591621009737581836}, {"parameter": "[8, 6, 5],[0, 2, 2]", "name": "generalized_linkage_multipleblocks", "value": 1180591620717679805708}, {"parameter": "[8, 6, 5],[0, 2, 3]", "name": "generalized_linkage_multipleblocks", "value": 1180591620717679805708}, {"parameter": "[8, 6, 5],[0, 3, 2]", "name": "generalized_linkage_multipleblocks", "value": 1180591620717679805708}, {"parameter": "[8, 6, 5],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 1180591620717679805708}, {"parameter": "[8, 7, 4],[0, 0, 3]", "name": "generalized_linkage_multipleblocks", "value": 1180591620718506280204}, {"parameter": "[8, 7, 4],[0, 1, 3]", "name": "generalized_linkage_multipleblocks", "value": 1180591620717429212428}, {"parameter": "[8, 7, 4],[0, 2, 3]", "name": "generalized_linkage_multipleblocks", "value": 1180591620717411386636}, {"parameter": "[8, 7, 4],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 1180591620717411386636}, {"parameter": "[9, 4, 6],[0, 3, 1]", "name": "generalized_linkage_multipleblocks", "value": 72061992084505868}, {"parameter": "[9, 4, 6],[0, 3, 2]", "name": "generalized_linkage_multipleblocks", "value": 72061992084505868}, {"parameter": "[9, 4, 6],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 72061992084505868}, {"parameter": "[9, 5, 5],[0, 2, 2]", "name": "generalized_linkage_multipleblocks", "value": 72057594306430220}, {"parameter": "[9, 5, 5],[0, 2, 3]", "name": "generalized_linkage_multipleblocks", "value": 72057594306430220}, {"parameter": "[9, 5, 5],[0, 3, 2]", "name": "generalized_linkage_multipleblocks", "value": 72057594306430220}, {"parameter": "[9, 5, 5],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 72057594306430220}, {"parameter": "[9, 6, 4],[0, 1, 3]", "name": "generalized_linkage_multipleblocks", "value": 72057594055836940}, {"parameter": "[9, 6, 4],[0, 2, 3]", "name": "generalized_linkage_multipleblocks", "value": 72057594038011148}, {"parameter": "[9, 6, 4],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 72057594038011148}, {"parameter": "[10, 4, 5],[0, 3, 2]", "name": "generalized_linkage_multipleblocks", "value": 4398315013388}, {"parameter": "[10, 4, 5],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 4398315013388}, {"parameter": "[10, 5, 4],[0, 2, 3]", "name": "generalized_linkage_multipleblocks", "value": 4398046594316}, {"parameter": "[10, 5, 4],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 4398046594316}, {"parameter": "[11, 4, 4],[0, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 4398315029772}, {"parameter": "[7, 4, 4, 4],[0, 3, 3, 3]", "name": "generalized_linkage_multipleblocks", "value": 4399415536892}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 1208925891672224291623172}], "request": [4, 19, 8, 7], "liftedmrdsizebound": 79228162541020522696568892901, "comments": "", "equal_bound_constraints": []}