{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 2919192676733890085582652682004928556}, {"parameter": "", "name": "singleton", "value": 1525878906}, {"parameter": "1", "name": "ilp_2", "value": 1222659380}, {"parameter": "2", "name": "ilp_2", "value": 1504540449571175650}, {"parameter": "3", "name": "ilp_2", "value": 1913122112937768133471171192}, {"parameter": "5", "name": "ilp_3", "value": 3737762710286671044279965021773276}, {"parameter": "6", "name": "ilp_3", "value": 5741570983543273493517611400573}, {"parameter": "7", "name": "ilp_3", "value": 9113138113247733259896879495}, {"parameter": "", "name": "anticode", "value": 1222659380}, {"parameter": "", "name": "linear_programming_bound", "value": 1222659380}, {"parameter": "", "name": "sphere_packing", "value": 12263603296048171585708233}, {"parameter": "", "name": "DrakeFreeman", "value": 1222659378}, {"parameter": "", "name": "partial_spread_5", "value": 1222659379}, {"parameter": "", "name": "partial_spread_kurz16_28", "value": 1222659376}, {"parameter": "", "name": "spread_bound", "value": 1222659380}, {"parameter": "", "name": "XiaFuJohnson1", "value": 1222659380}, {"parameter": "8", "name": "ilp_4", "value": 9113138113247733259896879495}, {"parameter": "9", "name": "ilp_4", "value": 72788672891302041619241105}, {"parameter": "10", "name": "ilp_4", "value": 582495695943032946071473}, {"parameter": "11", "name": "ilp_4", "value": 4660561668607001578408}, {"parameter": "12", "name": "ilp_4", "value": 37312626831067296595}, {"parameter": "13", "name": "ilp_4", "value": 298500251708910403}, {"parameter": "14", "name": "ilp_4", "value": 2388003234374914}, {"parameter": "15", "name": "ilp_4", "value": 19104029781249}, {"parameter": "16", "name": "ilp_4", "value": 152832422625}, {"parameter": "", "name": "johnson_1", "value": 1222659380}, {"parameter": "", "name": "johnson_2", "value": 152832422625}, {"parameter": "0, 4", "name": "Ahlswede_Aydinian", "value": 2919192676733890085582652682004928556}, {"parameter": "0, 5", "name": "Ahlswede_Aydinian", "value": 3737762710286671044279965021773276}, {"parameter": "0, 6", "name": "Ahlswede_Aydinian", "value": 5741570983543273493517611400573}, {"parameter": "0, 7", "name": "Ahlswede_Aydinian", "value": 9113138113247733259896879495}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 9113138113247733259896879495}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 72788672891302041619241105}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 582495695943032946071473}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 4660561668607001578408}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 37312626831067296595}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 298500251708910403}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 2388003234374914}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 19104029781249}, {"parameter": "0, 16", "name": "Ahlswede_Aydinian", "value": 152832422625}, {"parameter": "1, 3", "name": "Ahlswede_Aydinian", "value": 1913122112937768133471171192}, {"parameter": "1, 4", "name": "Ahlswede_Aydinian", "value": 12263603296048171585708233}, {"parameter": "1, 5", "name": "Ahlswede_Aydinian", "value": 94214622299431102196514}, {"parameter": "1, 6", "name": "Ahlswede_Aydinian", "value": 94214623833148554060201}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 3738714137774293588478}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 149883265110480616885}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 6018269545304372776}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 240717947602017481}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 9629378949892279}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 385284903184667}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 15431019633271}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 621197340842}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 25670633886}, {"parameter": "1, 16", "name": "Ahlswede_Aydinian", "value": 1230547501}, {"parameter": "2, 2", "name": "Ahlswede_Aydinian", "value": 1504540449571175650}, {"parameter": "2, 3", "name": "Ahlswede_Aydinian", "value": 48533562926329872}, {"parameter": "2, 4", "name": "Ahlswede_Aydinian", "value": 48533563111015423}, {"parameter": "2, 5", "name": "Ahlswede_Aydinian", "value": 9335767808457358}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 1926428461202378}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 384694190037159}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 77033686045234}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 15405973828338}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 3081529442554}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 616487651657}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 123481331619}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 24881237292}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 5168576533}, {"parameter": "2, 15", "name": "Ahlswede_Aydinian", "value": 1271565751}, {"parameter": "3, 1", "name": "Ahlswede_Aydinian", "value": 1222659380}, {"parameter": "3, 2", "name": "Ahlswede_Aydinian", "value": 1222659380}, {"parameter": "3, 3", "name": "Ahlswede_Aydinian", "value": 1222659384}, {"parameter": "3, 4", "name": "Ahlswede_Aydinian", "value": 1222659405}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 1222659509}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 1222660026}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 1222662614}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 1222675551}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 1222740242}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 1223063781}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 1224683562}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 1232835039}, {"parameter": "3, 13", "name": "Ahlswede_Aydinian", "value": 1274949845}, {"parameter": "3, 14", "name": "Ahlswede_Aydinian", "value": 1525878906}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 2919192676733890085582652682004928556}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 1913122112937768133471171192}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 1504540449571175650}, {"parameter": "0, 16, o", "name": "Ahlswede_Aydinian", "value": 1222659380}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 3737762710286671044279965021773276}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 12263603296048171585708233}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 48533562926329872}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 50151348351687261}, {"parameter": "1, 16, o", "name": "Ahlswede_Aydinian", "value": 60181617980953876}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 5741570983543273493517611400573}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 94214622299431102196514}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 94944018037037460030671}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 98741778693306427283045}, {"parameter": "2, 15, o", "name": "Ahlswede_Aydinian", "value": 122439805078347010806401}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 9113138113247733259896879495}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 9127625664957009738238577515}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 9200646664239199464715162655}, {"parameter": "3, 13, o", "name": "Ahlswede_Aydinian", "value": 9580940027001942042085550254}, {"parameter": "3, 14, o", "name": "Ahlswede_Aydinian", "value": 11957012900737114492991256681}, {"parameter": "", "name": "improved_johnson", "value": 1222659376}, {"parameter": "", "name": "HKK_lemma_2_4_upper_bound", "value": 11943855041410100}], "known_codes": [], "upper_bound": 1222659376, "classified": false, "lower_bound": 1222659376, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 1220703125}, {"parameter": "", "name": "sphere_covering", "value": 7837561}, {"parameter": "", "name": "graham_sloane", "value": 27}, {"parameter": "", "name": "partial_spread_3", "value": 1222659376}, {"parameter": "", "name": "multicomponent", "value": 1222659376}, {"parameter": "[(0, 1, 2, 3), (4, 5, 6, 7), (8, 9, 10, 11), (13, 14, 15, 16)]", "name": "ef_computation", "value": 1222659376}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 1220703125}, {"parameter": "(4, 13)", "name": "CKMP2019_Lem_41", "value": 1222659376}, {"parameter": "(5, 12)", "name": "CKMP2019_Lem_41", "value": 244531876}, {"parameter": "(6, 11)", "name": "CKMP2019_Lem_41", "value": 48906251}, {"parameter": "(7, 10)", "name": "CKMP2019_Lem_41", "value": 9781251}, {"parameter": "(8, 9)", "name": "CKMP2019_Lem_41", "value": 1222659376}, {"parameter": "(9, 8)", "name": "CKMP2019_Lem_41", "value": 1221094376}, {"parameter": "(10, 7)", "name": "CKMP2019_Lem_41", "value": 1220781251}, {"parameter": "(11, 6)", "name": "CKMP2019_Lem_41", "value": 1220718751}, {"parameter": "(12, 5)", "name": "CKMP2019_Lem_41", "value": 1222659376}, {"parameter": "(13, 4)", "name": "CKMP2019_Lem_41", "value": 1222656876}, {"parameter": "(4, 4, 9)", "name": "CKMP2019_Lem_41", "value": 1222659376}, {"parameter": "(4, 5, 8)", "name": "CKMP2019_Lem_41", "value": 1221094376}, {"parameter": "(4, 6, 7)", "name": "CKMP2019_Lem_41", "value": 1220781251}, {"parameter": "(4, 7, 6)", "name": "CKMP2019_Lem_41", "value": 1220718751}, {"parameter": "(4, 8, 5)", "name": "CKMP2019_Lem_41", "value": 1222659376}, {"parameter": "(4, 9, 4)", "name": "CKMP2019_Lem_41", "value": 1222656876}, {"parameter": "(5, 4, 8)", "name": "CKMP2019_Lem_41", "value": 244531876}, {"parameter": "(5, 5, 7)", "name": "CKMP2019_Lem_41", "value": 244218751}, {"parameter": "(5, 6, 6)", "name": "CKMP2019_Lem_41", "value": 244156251}, {"parameter": "(5, 7, 5)", "name": "CKMP2019_Lem_41", "value": 244143751}, {"parameter": "(5, 8, 4)", "name": "CKMP2019_Lem_41", "value": 244531876}, {"parameter": "(6, 4, 7)", "name": "CKMP2019_Lem_41", "value": 48906251}, {"parameter": "(6, 5, 6)", "name": "CKMP2019_Lem_41", "value": 48843751}, {"parameter": "(6, 6, 5)", "name": "CKMP2019_Lem_41", "value": 48831251}, {"parameter": "(6, 7, 4)", "name": "CKMP2019_Lem_41", "value": 48828751}, {"parameter": "(7, 4, 6)", "name": "CKMP2019_Lem_41", "value": 9781251}, {"parameter": "(7, 5, 5)", "name": "CKMP2019_Lem_41", "value": 9768751}, {"parameter": "(7, 6, 4)", "name": "CKMP2019_Lem_41", "value": 9766251}, {"parameter": "(8, 4, 5)", "name": "CKMP2019_Lem_41", "value": 1222659376}, {"parameter": "(8, 5, 4)", "name": "CKMP2019_Lem_41", "value": 1222656876}, {"parameter": "(9, 4, 4)", "name": "CKMP2019_Lem_41", "value": 1221094376}, {"parameter": "(4, 4, 4, 5)", "name": "CKMP2019_Lem_41", "value": 1222659376}, {"parameter": "(4, 4, 5, 4)", "name": "CKMP2019_Lem_41", "value": 1222656876}, {"parameter": "(4, 5, 4, 4)", "name": "CKMP2019_Lem_41", "value": 1221094376}, {"parameter": "(5, 4, 4, 4)", "name": "CKMP2019_Lem_41", "value": 244531876}, {"parameter": "(4, 13)", "name": "CKMP2019_Cor_42", "value": 1222659376}, {"parameter": "(5, 12)", "name": "CKMP2019_Cor_42", "value": 244531876}, {"parameter": "(6, 11)", "name": "CKMP2019_Cor_42", "value": 48906251}, {"parameter": "(7, 10)", "name": "CKMP2019_Cor_42", "value": 9781251}, {"parameter": "(8, 9)", "name": "CKMP2019_Cor_42", "value": 1222659376}, {"parameter": "(9, 8)", "name": "CKMP2019_Cor_42", "value": 1221094376}, {"parameter": "(10, 7)", "name": "CKMP2019_Cor_42", "value": 1220781251}, {"parameter": "(11, 6)", "name": "CKMP2019_Cor_42", "value": 1220718751}, {"parameter": "(12, 5)", "name": "CKMP2019_Cor_42", "value": 1222659376}, {"parameter": "(13, 4)", "name": "CKMP2019_Cor_42", "value": 1222656876}, {"parameter": "(4, 4, 9)", "name": "CKMP2019_Cor_42", "value": 1222659376}, {"parameter": "(4, 5, 8)", "name": "CKMP2019_Cor_42", "value": 1221094376}, {"parameter": "(4, 6, 7)", "name": "CKMP2019_Cor_42", "value": 1220781251}, {"parameter": "(4, 7, 6)", "name": "CKMP2019_Cor_42", "value": 1220718751}, {"parameter": "(4, 8, 5)", "name": "CKMP2019_Cor_42", "value": 1222659376}, {"parameter": "(4, 9, 4)", "name": "CKMP2019_Cor_42", "value": 1222656876}, {"parameter": "(5, 4, 8)", "name": "CKMP2019_Cor_42", "value": 244531876}, {"parameter": "(5, 5, 7)", "name": "CKMP2019_Cor_42", "value": 244218751}, {"parameter": "(5, 6, 6)", "name": "CKMP2019_Cor_42", "value": 244156251}, {"parameter": "(5, 7, 5)", "name": "CKMP2019_Cor_42", "value": 244143751}, {"parameter": "(5, 8, 4)", "name": "CKMP2019_Cor_42", "value": 244531876}, {"parameter": "(6, 4, 7)", "name": "CKMP2019_Cor_42", "value": 48906251}, {"parameter": "(6, 5, 6)", "name": "CKMP2019_Cor_42", "value": 48843751}, {"parameter": "(6, 6, 5)", "name": "CKMP2019_Cor_42", "value": 48831251}, {"parameter": "(6, 7, 4)", "name": "CKMP2019_Cor_42", "value": 48828751}, {"parameter": "(7, 4, 6)", "name": "CKMP2019_Cor_42", "value": 9781251}, {"parameter": "(7, 5, 5)", "name": "CKMP2019_Cor_42", "value": 9768751}, {"parameter": "(7, 6, 4)", "name": "CKMP2019_Cor_42", "value": 9766251}, {"parameter": "(8, 4, 5)", "name": "CKMP2019_Cor_42", "value": 1222659376}, {"parameter": "(8, 5, 4)", "name": "CKMP2019_Cor_42", "value": 1222656876}, {"parameter": "(9, 4, 4)", "name": "CKMP2019_Cor_42", "value": 1221094376}, {"parameter": "(4, 4, 4, 5)", "name": "CKMP2019_Cor_42", "value": 1222659376}, {"parameter": "(4, 4, 5, 4)", "name": "CKMP2019_Cor_42", "value": 1222656876}, {"parameter": "(4, 5, 4, 4)", "name": "CKMP2019_Cor_42", "value": 1221094376}, {"parameter": "(5, 4, 4, 4)", "name": "CKMP2019_Cor_42", "value": 244531876}, {"parameter": "4", "name": "linkage_GLT", "value": 1222659376}, {"parameter": "5", "name": "linkage_GLT", "value": 244531876}, {"parameter": "6", "name": "linkage_GLT", "value": 48906251}, {"parameter": "7", "name": "linkage_GLT", "value": 9781251}, {"parameter": "8", "name": "linkage_GLT", "value": 1222659376}, {"parameter": "9", "name": "linkage_GLT", "value": 1221094376}, {"parameter": "10", "name": "linkage_GLT", "value": 1220781251}, {"parameter": "11", "name": "linkage_GLT", "value": 1220718751}, {"parameter": "12", "name": "linkage_GLT", "value": 1222659376}, {"parameter": "13", "name": "linkage_GLT", "value": 1222656876}, {"parameter": "4", "name": "improved_linkage", "value": 1222659376}, {"parameter": "5", "name": "improved_linkage", "value": 244531876}, {"parameter": "6", "name": "improved_linkage", "value": 48906251}, {"parameter": "7", "name": "improved_linkage", "value": 9781251}, {"parameter": "8", "name": "improved_linkage", "value": 1222659376}, {"parameter": "9", "name": "improved_linkage", "value": 1221094376}, {"parameter": "10", "name": "improved_linkage", "value": 1220781251}, {"parameter": "11", "name": "improved_linkage", "value": 1220718751}, {"parameter": "12", "name": "improved_linkage", "value": 1222659376}, {"parameter": "13", "name": "improved_linkage", "value": 1222656876}, {"parameter": "4,0", "name": "generalized_linkage", "value": 1222659376}, {"parameter": "5,0", "name": "generalized_linkage", "value": 244531876}, {"parameter": "6,0", "name": "generalized_linkage", "value": 48906251}, {"parameter": "7,0", "name": "generalized_linkage", "value": 9781251}, {"parameter": "8,0", "name": "generalized_linkage", "value": 1222659376}, {"parameter": "9,0", "name": "generalized_linkage", "value": 1221094376}, {"parameter": "10,0", "name": "generalized_linkage", "value": 1220781251}, {"parameter": "11,0", "name": "generalized_linkage", "value": 1220718751}, {"parameter": "12,0", "name": "generalized_linkage", "value": 1222659376}, {"parameter": "13,0", "name": "generalized_linkage", "value": 1222656876}, {"parameter": "[4, 13],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1222659376}, {"parameter": "[5, 12],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 244531876}, {"parameter": "[6, 11],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 48906251}, {"parameter": "[7, 10],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 9781251}, {"parameter": "[8, 9],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1222659376}, {"parameter": "[9, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1221094376}, {"parameter": "[10, 7],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1220781251}, {"parameter": "[11, 6],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1220718751}, {"parameter": "[12, 5],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1222659376}, {"parameter": "[13, 4],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1222656876}, {"parameter": "[4, 4, 9],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1222659376}, {"parameter": "[4, 5, 8],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1221094376}, {"parameter": "[4, 6, 7],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1220781251}, {"parameter": "[4, 7, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1220718751}, {"parameter": "[4, 8, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1222659376}, {"parameter": "[4, 9, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1222656876}, {"parameter": "[5, 4, 8],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 244531876}, {"parameter": "[5, 5, 7],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 244218751}, {"parameter": "[5, 6, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 244156251}, {"parameter": "[5, 7, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 244143751}, {"parameter": "[5, 8, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 244531876}, {"parameter": "[6, 4, 7],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 48906251}, {"parameter": "[6, 5, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 48843751}, {"parameter": "[6, 6, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 48831251}, {"parameter": "[6, 7, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 48828751}, {"parameter": "[7, 4, 6],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 9781251}, {"parameter": "[7, 5, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 9768751}, {"parameter": "[7, 6, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 9766251}, {"parameter": "[8, 4, 5],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1222659376}, {"parameter": "[8, 5, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1222656876}, {"parameter": "[9, 4, 4],[0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1221094376}, {"parameter": "[4, 4, 4, 5],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1222659376}, {"parameter": "[4, 4, 5, 4],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1222656876}, {"parameter": "[4, 5, 4, 4],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 1221094376}, {"parameter": "[5, 4, 4, 4],[0, 0, 0, 0]", "name": "generalized_linkage_multipleblocks", "value": 244531876}, {"parameter": "", "name": "JohnsonLB", "value": 1220315625}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 5}], "request": [5, 17, 8, 4], "liftedmrdsizebound": 1222659376, "comments": "", "equal_bound_constraints": [{"parameter": "", "name": "partial_spread_2", "value": 1222659376}, {"parameter": "", "name": "partial_spread_NS", "value": 1222659376}]}