{"upper_bound_constraints": [{"parameter": "", "name": "all_subs", "value": 494205307747746503853075131001823990245}, {"parameter": "", "name": "singleton", "value": 6108368805}, {"parameter": "2", "name": "ilp_2", "value": 4295294992}, {"parameter": "3", "name": "ilp_2", "value": 281565193049325}, {"parameter": "4", "name": "ilp_2", "value": 18470694003827687503}, {"parameter": "5", "name": "ilp_2", "value": 1215242370593835043935489}, {"parameter": "6", "name": "ilp_2", "value": 80906265408076731845773862209}, {"parameter": "7", "name": "ilp_2", "value": 5655752483351603939678821837720145}, {"parameter": "9", "name": "ilp_3", "value": 5655752483351603939678821837720145}, {"parameter": "10", "name": "ilp_3", "value": 80906265408076731845773862209}, {"parameter": "11", "name": "ilp_3", "value": 1215242370593835043935489}, {"parameter": "12", "name": "ilp_3", "value": 18470694003827687503}, {"parameter": "13", "name": "ilp_3", "value": 281565193049325}, {"parameter": "14", "name": "ilp_3", "value": 4295294992}, {"parameter": "", "name": "anticode", "value": 4295294992}, {"parameter": "", "name": "linear_programming_bound", "value": 4295294992}, {"parameter": "", "name": "sphere_packing", "value": 783848672710520}, {"parameter": "1", "name": "ilp_1", "value": 4295098369}, {"parameter": "15", "name": "ilp_4", "value": 4295098369}, {"parameter": "", "name": "johnson_1", "value": 4295098369}, {"parameter": "", "name": "johnson_2", "value": 4295098369}, {"parameter": "0, 8", "name": "Ahlswede_Aydinian", "value": 494205307747746503853075131001823990245}, {"parameter": "0, 9", "name": "Ahlswede_Aydinian", "value": 5655752483351603939678821837720145}, {"parameter": "0, 10", "name": "Ahlswede_Aydinian", "value": 80906265408076731845773862209}, {"parameter": "0, 11", "name": "Ahlswede_Aydinian", "value": 1215242370593835043935489}, {"parameter": "0, 12", "name": "Ahlswede_Aydinian", "value": 18470694003827687503}, {"parameter": "0, 13", "name": "Ahlswede_Aydinian", "value": 281565193049325}, {"parameter": "0, 14", "name": "Ahlswede_Aydinian", "value": 4295294992}, {"parameter": "0, 15", "name": "Ahlswede_Aydinian", "value": 4295098369}, {"parameter": "1, 7", "name": "Ahlswede_Aydinian", "value": 5655752483351603939678821837720145}, {"parameter": "1, 8", "name": "Ahlswede_Aydinian", "value": 258906715785161172974135097680}, {"parameter": "1, 9", "name": "Ahlswede_Aydinian", "value": 14815495804286185140528080}, {"parameter": "1, 10", "name": "Ahlswede_Aydinian", "value": 890300813838934252764}, {"parameter": "1, 11", "name": "Ahlswede_Aydinian", "value": 54167078956856304}, {"parameter": "1, 12", "name": "Ahlswede_Aydinian", "value": 3312581585478}, {"parameter": "1, 13", "name": "Ahlswede_Aydinian", "value": 3351401474323}, {"parameter": "1, 14", "name": "Ahlswede_Aydinian", "value": 3518963365838}, {"parameter": "1, 15", "name": "Ahlswede_Aydinian", "value": 4295294977}, {"parameter": "2, 6", "name": "Ahlswede_Aydinian", "value": 80906265408076731845773862209}, {"parameter": "2, 7", "name": "Ahlswede_Aydinian", "value": 14815495804286185140528080}, {"parameter": "2, 8", "name": "Ahlswede_Aydinian", "value": 3391243637043875938519}, {"parameter": "2, 9", "name": "Ahlswede_Aydinian", "value": 815193433898335545}, {"parameter": "2, 10", "name": "Ahlswede_Aydinian", "value": 198426236926185}, {"parameter": "2, 11", "name": "Ahlswede_Aydinian", "value": 199009744982760}, {"parameter": "2, 12", "name": "Ahlswede_Aydinian", "value": 201970647005469}, {"parameter": "2, 13", "name": "Ahlswede_Aydinian", "value": 838196184009}, {"parameter": "2, 14", "name": "Ahlswede_Aydinian", "value": 4298113768}, {"parameter": "3, 5", "name": "Ahlswede_Aydinian", "value": 1215242370593835043935489}, {"parameter": "3, 6", "name": "Ahlswede_Aydinian", "value": 890300813838934252764}, {"parameter": "3, 7", "name": "Ahlswede_Aydinian", "value": 815193433898335545}, {"parameter": "3, 8", "name": "Ahlswede_Aydinian", "value": 783848672710520}, {"parameter": "3, 9", "name": "Ahlswede_Aydinian", "value": 782303724160779}, {"parameter": "3, 10", "name": "Ahlswede_Aydinian", "value": 785321423532687}, {"parameter": "3, 11", "name": "Ahlswede_Aydinian", "value": 12465272464411}, {"parameter": "3, 12", "name": "Ahlswede_Aydinian", "value": 207655503779}, {"parameter": "3, 13", "name": "Ahlswede_Aydinian", "value": 4316024845}, {"parameter": "4, 4", "name": "Ahlswede_Aydinian", "value": 18470694003827687503}, {"parameter": "4, 5", "name": "Ahlswede_Aydinian", "value": 54167078956856304}, {"parameter": "4, 6", "name": "Ahlswede_Aydinian", "value": 198426236926185}, {"parameter": "4, 7", "name": "Ahlswede_Aydinian", "value": 196148348399337}, {"parameter": "4, 8", "name": "Ahlswede_Aydinian", "value": 196338777022987}, {"parameter": "4, 9", "name": "Ahlswede_Aydinian", "value": 12366900384658}, {"parameter": "4, 10", "name": "Ahlswede_Aydinian", "value": 790440945471}, {"parameter": "4, 11", "name": "Ahlswede_Aydinian", "value": 52660130239}, {"parameter": "4, 12", "name": "Ahlswede_Aydinian", "value": 4379774217}, {"parameter": "5, 3", "name": "Ahlswede_Aydinian", "value": 281565193049325}, {"parameter": "5, 4", "name": "Ahlswede_Aydinian", "value": 3312581585478}, {"parameter": "5, 5", "name": "Ahlswede_Aydinian", "value": 3157342793233}, {"parameter": "5, 6", "name": "Ahlswede_Aydinian", "value": 3158103999453}, {"parameter": "5, 7", "name": "Ahlswede_Aydinian", "value": 826762767574}, {"parameter": "5, 8", "name": "Ahlswede_Aydinian", "value": 206730979115}, {"parameter": "5, 9", "name": "Ahlswede_Aydinian", "value": 52637187353}, {"parameter": "5, 10", "name": "Ahlswede_Aydinian", "value": 14021355173}, {"parameter": "5, 11", "name": "Ahlswede_Aydinian", "value": 4654011921}, {"parameter": "6, 2", "name": "Ahlswede_Aydinian", "value": 4295294992}, {"parameter": "6, 3", "name": "Ahlswede_Aydinian", "value": 4295357397}, {"parameter": "6, 4", "name": "Ahlswede_Aydinian", "value": 4295607034}, {"parameter": "6, 5", "name": "Ahlswede_Aydinian", "value": 4296605812}, {"parameter": "6, 6", "name": "Ahlswede_Aydinian", "value": 4300604609}, {"parameter": "6, 7", "name": "Ahlswede_Aydinian", "value": 4316658956}, {"parameter": "6, 8", "name": "Ahlswede_Aydinian", "value": 4381836986}, {"parameter": "6, 9", "name": "Ahlswede_Aydinian", "value": 4658877514}, {"parameter": "6, 10", "name": "Ahlswede_Aydinian", "value": 6108368805}, {"parameter": "0, 8, o", "name": "Ahlswede_Aydinian", "value": 494205307747746503853075131001823990245}, {"parameter": "0, 9, o", "name": "Ahlswede_Aydinian", "value": 5655752483351603939678821837720145}, {"parameter": "0, 10, o", "name": "Ahlswede_Aydinian", "value": 80906265408076731845773862209}, {"parameter": "0, 11, o", "name": "Ahlswede_Aydinian", "value": 1215242370593835043935489}, {"parameter": "0, 12, o", "name": "Ahlswede_Aydinian", "value": 18470694003827687503}, {"parameter": "0, 13, o", "name": "Ahlswede_Aydinian", "value": 281565193049325}, {"parameter": "0, 14, o", "name": "Ahlswede_Aydinian", "value": 4295294992}, {"parameter": "0, 15, o", "name": "Ahlswede_Aydinian", "value": 4295098369}, {"parameter": "1, 7, o", "name": "Ahlswede_Aydinian", "value": 5655752483351603939678821837720145}, {"parameter": "1, 8, o", "name": "Ahlswede_Aydinian", "value": 258906715785161172974135097680}, {"parameter": "1, 9, o", "name": "Ahlswede_Aydinian", "value": 14815495804286185140528080}, {"parameter": "1, 10, o", "name": "Ahlswede_Aydinian", "value": 890300813838934252764}, {"parameter": "1, 11, o", "name": "Ahlswede_Aydinian", "value": 54167078956856304}, {"parameter": "1, 12, o", "name": "Ahlswede_Aydinian", "value": 3312581585478}, {"parameter": "1, 13, o", "name": "Ahlswede_Aydinian", "value": 3351401474323}, {"parameter": "1, 14, o", "name": "Ahlswede_Aydinian", "value": 3518963365838}, {"parameter": "1, 15, o", "name": "Ahlswede_Aydinian", "value": 4295294977}, {"parameter": "2, 6, o", "name": "Ahlswede_Aydinian", "value": 80906265408076731845773862209}, {"parameter": "2, 7, o", "name": "Ahlswede_Aydinian", "value": 14815495804286185140528080}, {"parameter": "2, 8, o", "name": "Ahlswede_Aydinian", "value": 3391243637043875938519}, {"parameter": "2, 9, o", "name": "Ahlswede_Aydinian", "value": 815193433898335545}, {"parameter": "2, 10, o", "name": "Ahlswede_Aydinian", "value": 198426236926185}, {"parameter": "2, 11, o", "name": "Ahlswede_Aydinian", "value": 199009744982760}, {"parameter": "2, 12, o", "name": "Ahlswede_Aydinian", "value": 201970647005469}, {"parameter": "2, 13, o", "name": "Ahlswede_Aydinian", "value": 838196184009}, {"parameter": "2, 14, o", "name": "Ahlswede_Aydinian", "value": 4298113768}, {"parameter": "3, 5, o", "name": "Ahlswede_Aydinian", "value": 1215242370593835043935489}, {"parameter": "3, 6, o", "name": "Ahlswede_Aydinian", "value": 890300813838934252764}, {"parameter": "3, 7, o", "name": "Ahlswede_Aydinian", "value": 815193433898335545}, {"parameter": "3, 8, o", "name": "Ahlswede_Aydinian", "value": 783848672710520}, {"parameter": "3, 9, o", "name": "Ahlswede_Aydinian", "value": 782303724160779}, {"parameter": "3, 10, o", "name": "Ahlswede_Aydinian", "value": 785321423532687}, {"parameter": "3, 11, o", "name": "Ahlswede_Aydinian", "value": 12465272464411}, {"parameter": "3, 12, o", "name": "Ahlswede_Aydinian", "value": 207655503779}, {"parameter": "3, 13, o", "name": "Ahlswede_Aydinian", "value": 4316024845}, {"parameter": "4, 4, o", "name": "Ahlswede_Aydinian", "value": 18470694003827687503}, {"parameter": "4, 5, o", "name": "Ahlswede_Aydinian", "value": 54167078956856304}, {"parameter": "4, 6, o", "name": "Ahlswede_Aydinian", "value": 198426236926185}, {"parameter": "4, 7, o", "name": "Ahlswede_Aydinian", "value": 196148348399337}, {"parameter": "4, 8, o", "name": "Ahlswede_Aydinian", "value": 196338777022987}, {"parameter": "4, 9, o", "name": "Ahlswede_Aydinian", "value": 12366900384658}, {"parameter": "4, 10, o", "name": "Ahlswede_Aydinian", "value": 790440945471}, {"parameter": "4, 11, o", "name": "Ahlswede_Aydinian", "value": 52660130239}, {"parameter": "4, 12, o", "name": "Ahlswede_Aydinian", "value": 4379774217}, {"parameter": "5, 3, o", "name": "Ahlswede_Aydinian", "value": 281565193049325}, {"parameter": "5, 4, o", "name": "Ahlswede_Aydinian", "value": 3312581585478}, {"parameter": "5, 5, o", "name": "Ahlswede_Aydinian", "value": 3157342793233}, {"parameter": "5, 6, o", "name": "Ahlswede_Aydinian", "value": 3158103999453}, {"parameter": "5, 7, o", "name": "Ahlswede_Aydinian", "value": 826762767574}, {"parameter": "5, 8, o", "name": "Ahlswede_Aydinian", "value": 206730979115}, {"parameter": "5, 9, o", "name": "Ahlswede_Aydinian", "value": 52637187353}, {"parameter": "5, 10, o", "name": "Ahlswede_Aydinian", "value": 14021355173}, {"parameter": "5, 11, o", "name": "Ahlswede_Aydinian", "value": 4654011921}, {"parameter": "6, 2, o", "name": "Ahlswede_Aydinian", "value": 4295294992}, {"parameter": "6, 3, o", "name": "Ahlswede_Aydinian", "value": 4295357397}, {"parameter": "6, 4, o", "name": "Ahlswede_Aydinian", "value": 4295607034}, {"parameter": "6, 5, o", "name": "Ahlswede_Aydinian", "value": 4296605812}, {"parameter": "6, 6, o", "name": "Ahlswede_Aydinian", "value": 4300604609}, {"parameter": "6, 7, o", "name": "Ahlswede_Aydinian", "value": 4316658956}, {"parameter": "6, 8, o", "name": "Ahlswede_Aydinian", "value": 4381836986}, {"parameter": "6, 9, o", "name": "Ahlswede_Aydinian", "value": 4658877514}, {"parameter": "6, 10, o", "name": "Ahlswede_Aydinian", "value": 6108368805}, {"parameter": "", "name": "improved_johnson", "value": 4295098369}, {"parameter": "", "name": "HKK_theorem_3_3_i_upper_bound_cdc", "value": 4295098369}], "known_codes": [], "upper_bound": 4295098369, "classified": false, "lower_bound": 4294967297, "lower_bound_constraints": [{"parameter": "", "name": "trivial_1", "value": 0}, {"parameter": "", "name": "LMRD", "value": 4294967296}, {"parameter": "", "name": "sphere_covering", "value": 184}, {"parameter": "", "name": "graham_sloane", "value": 1}, {"parameter": "", "name": "multicomponent", "value": 4294967297}, {"parameter": "[(0, 1, 2, 3, 4, 5, 6, 7), (3, 9, 10, 11, 12, 13, 14, 15)]", "name": "ef_computation", "value": 4294967297}, {"parameter": "", "name": "LiuChangFeng2019_Theo_2_6", "value": 4294967296}, {"parameter": "(8, 8)", "name": "CKMP2019_Lem_41", "value": 4294967297}, {"parameter": "(8, 8)", "name": "CKMP2019_Cor_42", "value": 4294967297}, {"parameter": "", "name": "construction_1", "value": 4294967297}, {"parameter": "8", "name": "linkage_GLT", "value": 4294967297}, {"parameter": "8", "name": "improved_linkage", "value": 4294967297}, {"parameter": "9", "name": "improved_linkage", "value": 65537}, {"parameter": "8,0", "name": "generalized_linkage", "value": 4294967297}, {"parameter": "8,1", "name": "generalized_linkage", "value": 4294967297}, {"parameter": "9,1", "name": "generalized_linkage", "value": 65537}, {"parameter": "[8, 8],[0, 0]", "name": "generalized_linkage_multipleblocks", "value": 4294967297}, {"parameter": "[8, 8],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 4294967297}, {"parameter": "[9, 7],[0, 1]", "name": "generalized_linkage_multipleblocks", "value": 65537}, {"parameter": "", "name": "JohnsonLB", "value": 1048573}, {"parameter": "", "name": "HKK_theorem_3_3_i_lower_bound_cdc", "value": 4294967297}, {"parameter": "", "name": "HKK_lemma_2_4_lower_bound", "value": 1048580}], "request": [4, 16, 14, 8], "liftedmrdsizebound": 4294967297, "comments": "", "equal_bound_constraints": []}