{"upper_bound_constraints": [{"parameter": "", "name": "trivial_3", "value": 8283458}, {"parameter": "", "name": "cdc_upper_bound", "value": 8283458}, {"parameter": "", "name": "relax_d", "value": 8283458}, {"parameter": "", "name": "improved_cdc_upper_bound", "value": 8283458}, {"parameter": "", "name": "special_improved_cdc_upper_bound", "value": 8283456}], "known_codes": [{"nrisotypes": "1", "details": "", "file": "", "size": 4141729}], "upper_bound": 4141729, "classified": true, "lower_bound": 4141729, "lower_bound_constraints": [{"parameter": "", "name": "trivial_2", "value": 0}, {"parameter": "", "name": "gilbert_varshamov", "value": 157861}, {"parameter": "", "name": "trivial_4", "value": 2}, {"parameter": "optimal [(), (0, 1), (0, 1, 2, 3), (0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5, 6, 7), (0, 1, 2, 3, 4, 5, 6, 8), (0, 1, 2, 3, 4, 5, 7, 8), (0, 1, 2, 3, 4, 6), (0, 1, 2, 3, 4, 6, 7, 8), (0, 1, 2, 3, 4, 7), (0, 1, 2, 3, 4, 8), (0, 1, 2, 3, 5, 6), (0, 1, 2, 3, 5, 6, 7, 8), (0, 1, 2, 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4, 5, 7), (0, 2, 3, 4, 5, 8), (0, 2, 3, 4, 6, 7), (0, 2, 3, 4, 6, 8), (0, 2, 3, 4, 7, 8), (0, 2, 3, 5), (0, 2, 3, 5, 6, 7), (0, 2, 3, 5, 6, 8), (0, 2, 3, 5, 7, 8), (0, 2, 3, 6), (0, 2, 3, 6, 7, 8), (0, 2, 3, 7), (0, 2, 3, 8), (0, 2, 4, 5), (0, 2, 4, 5, 6, 7), (0, 2, 4, 5, 6, 8), (0, 2, 4, 5, 7, 8), (0, 2, 4, 6), (0, 2, 4, 6, 7, 8), (0, 2, 4, 7), (0, 2, 4, 8), (0, 2, 5, 6), (0, 2, 5, 6, 7, 8), (0, 2, 5, 7), (0, 2, 5, 8), (0, 2, 6, 7), (0, 2, 6, 8), (0, 2, 7, 8), (0, 3), (0, 3, 4, 5), (0, 3, 4, 5, 6, 7), (0, 3, 4, 5, 6, 8), (0, 3, 4, 5, 7, 8), (0, 3, 4, 6), (0, 3, 4, 6, 7, 8), (0, 3, 4, 7), (0, 3, 4, 8), (0, 3, 5, 6), (0, 3, 5, 6, 7, 8), (0, 3, 5, 7), (0, 3, 5, 8), (0, 3, 6, 7), (0, 3, 6, 8), (0, 3, 7, 8), (0, 4), (0, 4, 5, 6), (0, 4, 5, 6, 7, 8), (0, 4, 5, 7), (0, 4, 5, 8), (0, 4, 6, 7), (0, 4, 6, 8), (0, 4, 7, 8), (0, 5), (0, 5, 6, 7), (0, 5, 6, 8), (0, 5, 7, 8), (0, 6), (0, 6, 7, 8), (0, 7), (0, 8), (1, 2), (1, 2, 3, 4), (1, 2, 3, 4, 5, 6), (1, 2, 3, 4, 5, 6, 7, 8), (1, 2, 3, 4, 5, 7), (1, 2, 3, 4, 5, 8), (1, 2, 3, 4, 6, 7), (1, 2, 3, 4, 6, 8), (1, 2, 3, 4, 7, 8), (1, 2, 3, 5), (1, 2, 3, 5, 6, 7), (1, 2, 3, 5, 6, 8), (1, 2, 3, 5, 7, 8), (1, 2, 3, 6), (1, 2, 3, 6, 7, 8), (1, 2, 3, 7), (1, 2, 3, 8), (1, 2, 4, 5), (1, 2, 4, 5, 6, 7), (1, 2, 4, 5, 6, 8), (1, 2, 4, 5, 7, 8), (1, 2, 4, 6), (1, 2, 4, 6, 7, 8), (1, 2, 4, 7), (1, 2, 4, 8), (1, 2, 5, 6), (1, 2, 5, 6, 7, 8), (1, 2, 5, 7), (1, 2, 5, 8), (1, 2, 6, 7), (1, 2, 6, 8), (1, 2, 7, 8), (1, 3), (1, 3, 4, 5), (1, 3, 4, 5, 6, 7), (1, 3, 4, 5, 6, 8), (1, 3, 4, 5, 7, 8), (1, 3, 4, 6), (1, 3, 4, 6, 7, 8), (1, 3, 4, 7), (1, 3, 4, 8), (1, 3, 5, 6), (1, 3, 5, 6, 7, 8), (1, 3, 5, 7), (1, 3, 5, 8), (1, 3, 6, 7), (1, 3, 6, 8), (1, 3, 7, 8), (1, 4), (1, 4, 5, 6), (1, 4, 5, 6, 7, 8), (1, 4, 5, 7), (1, 4, 5, 8), (1, 4, 6, 7), (1, 4, 6, 8), (1, 4, 7, 8), (1, 5), (1, 5, 6, 7), (1, 5, 6, 8), (1, 5, 7, 8), (1, 6), (1, 6, 7, 8), (1, 7), (1, 8), (2, 3), (2, 3, 4, 5), (2, 3, 4, 5, 6, 7), (2, 3, 4, 5, 6, 8), (2, 3, 4, 5, 7, 8), (2, 3, 4, 6), (2, 3, 4, 6, 7, 8), (2, 3, 4, 7), (2, 3, 4, 8), (2, 3, 5, 6), (2, 3, 5, 6, 7, 8), (2, 3, 5, 7), (2, 3, 5, 8), (2, 3, 6, 7), (2, 3, 6, 8), (2, 3, 7, 8), (2, 4), (2, 4, 5, 6), (2, 4, 5, 6, 7, 8), (2, 4, 5, 7), (2, 4, 5, 8), (2, 4, 6, 7), (2, 4, 6, 8), (2, 4, 7, 8), (2, 5), (2, 5, 6, 7), (2, 5, 6, 8), (2, 5, 7, 8), (2, 6), (2, 6, 7, 8), (2, 7), (2, 8), (3, 4), (3, 4, 5, 6), (3, 4, 5, 6, 7, 8), (3, 4, 5, 7), (3, 4, 5, 8), (3, 4, 6, 7), (3, 4, 6, 8), (3, 4, 7, 8), (3, 5), (3, 5, 6, 7), (3, 5, 6, 8), (3, 5, 7, 8), (3, 6), (3, 6, 7, 8), (3, 7), (3, 8), (4, 5), (4, 5, 6, 7), (4, 5, 6, 8), (4, 5, 7, 8), (4, 6), (4, 6, 7, 8), (4, 7), (4, 8), (5, 6), (5, 6, 7, 8), (5, 7), (5, 8), (6, 7), (6, 8), (7, 8)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 4141729 with optimal [(), (0, 1), (0, 1, 2, 3), (0, 1, 2, 3, 4, 5), (0, 1, 2, 3, 4, 5, 6, 7), (0, 1, 2, 3, 4, 5, 6, 8), (0, 1, 2, 3, 4, 5, 7, 8), (0, 1, 2, 3, 4, 6), (0, 1, 2, 3, 4, 6, 7, 8), (0, 1, 2, 3, 4, 7), (0, 1, 2, 3, 4, 8), (0, 1, 2, 3, 5, 6), (0, 1, 2, 3, 5, 6, 7, 8), (0, 1, 2, 3, 5, 7), (0, 1, 2, 3, 5, 8), (0, 1, 2, 3, 6, 7), (0, 1, 2, 3, 6, 8), (0, 1, 2, 3, 7, 8), (0, 1, 2, 4), (0, 1, 2, 4, 5, 6), (0, 1, 2, 4, 5, 6, 7, 8), (0, 1, 2, 4, 5, 7), (0, 1, 2, 4, 5, 8), (0, 1, 2, 4, 6, 7), (0, 1, 2, 4, 6, 8), (0, 1, 2, 4, 7, 8), (0, 1, 2, 5), (0, 1, 2, 5, 6, 7), (0, 1, 2, 5, 6, 8), (0, 1, 2, 5, 7, 8), (0, 1, 2, 6), (0, 1, 2, 6, 7, 8), (0, 1, 2, 7), (0, 1, 2, 8), (0, 1, 3, 4), (0, 1, 3, 4, 5, 6), (0, 1, 3, 4, 5, 6, 7, 8), (0, 1, 3, 4, 5, 7), (0, 1, 3, 4, 5, 8), (0, 1, 3, 4, 6, 7), (0, 1, 3, 4, 6, 8), (0, 1, 3, 4, 7, 8), (0, 1, 3, 5), (0, 1, 3, 5, 6, 7), (0, 1, 3, 5, 6, 8), (0, 1, 3, 5, 7, 8), (0, 1, 3, 6), (0, 1, 3, 6, 7, 8), (0, 1, 3, 7), (0, 1, 3, 8), (0, 1, 4, 5), (0, 1, 4, 5, 6, 7), (0, 1, 4, 5, 6, 8), (0, 1, 4, 5, 7, 8), (0, 1, 4, 6), (0, 1, 4, 6, 7, 8), (0, 1, 4, 7), (0, 1, 4, 8), (0, 1, 5, 6), (0, 1, 5, 6, 7, 8), (0, 1, 5, 7), (0, 1, 5, 8), (0, 1, 6, 7), (0, 1, 6, 8), (0, 1, 7, 8), (0, 2), (0, 2, 3, 4), (0, 2, 3, 4, 5, 6), (0, 2, 3, 4, 5, 6, 7, 8), (0, 2, 3, 4, 5, 7), (0, 2, 3, 4, 5, 8), (0, 2, 3, 4, 6, 7), (0, 2, 3, 4, 6, 8), (0, 2, 3, 4, 7, 8), (0, 2, 3, 5), (0, 2, 3, 5, 6, 7), (0, 2, 3, 5, 6, 8), (0, 2, 3, 5, 7, 8), (0, 2, 3, 6), (0, 2, 3, 6, 7, 8), (0, 2, 3, 7), (0, 2, 3, 8), (0, 2, 4, 5), (0, 2, 4, 5, 6, 7), (0, 2, 4, 5, 6, 8), (0, 2, 4, 5, 7, 8), (0, 2, 4, 6), (0, 2, 4, 6, 7, 8), (0, 2, 4, 7), (0, 2, 4, 8), (0, 2, 5, 6), (0, 2, 5, 6, 7, 8), (0, 2, 5, 7), (0, 2, 5, 8), (0, 2, 6, 7), (0, 2, 6, 8), (0, 2, 7, 8), (0, 3), (0, 3, 4, 5), (0, 3, 4, 5, 6, 7), (0, 3, 4, 5, 6, 8), (0, 3, 4, 5, 7, 8), (0, 3, 4, 6), (0, 3, 4, 6, 7, 8), (0, 3, 4, 7), (0, 3, 4, 8), (0, 3, 5, 6), (0, 3, 5, 6, 7, 8), (0, 3, 5, 7), (0, 3, 5, 8), (0, 3, 6, 7), (0, 3, 6, 8), (0, 3, 7, 8), (0, 4), (0, 4, 5, 6), (0, 4, 5, 6, 7, 8), (0, 4, 5, 7), (0, 4, 5, 8), (0, 4, 6, 7), (0, 4, 6, 8), (0, 4, 7, 8), (0, 5), (0, 5, 6, 7), (0, 5, 6, 8), (0, 5, 7, 8), (0, 6), (0, 6, 7, 8), (0, 7), (0, 8), (1, 2), (1, 2, 3, 4), (1, 2, 3, 4, 5, 6), (1, 2, 3, 4, 5, 6, 7, 8), (1, 2, 3, 4, 5, 7), (1, 2, 3, 4, 5, 8), (1, 2, 3, 4, 6, 7), (1, 2, 3, 4, 6, 8), (1, 2, 3, 4, 7, 8), (1, 2, 3, 5), (1, 2, 3, 5, 6, 7), (1, 2, 3, 5, 6, 8), (1, 2, 3, 5, 7, 8), (1, 2, 3, 6), (1, 2, 3, 6, 7, 8), (1, 2, 3, 7), (1, 2, 3, 8), (1, 2, 4, 5), (1, 2, 4, 5, 6, 7), (1, 2, 4, 5, 6, 8), (1, 2, 4, 5, 7, 8), (1, 2, 4, 6), (1, 2, 4, 6, 7, 8), (1, 2, 4, 7), (1, 2, 4, 8), (1, 2, 5, 6), (1, 2, 5, 6, 7, 8), (1, 2, 5, 7), (1, 2, 5, 8), (1, 2, 6, 7), (1, 2, 6, 8), (1, 2, 7, 8), (1, 3), (1, 3, 4, 5), (1, 3, 4, 5, 6, 7), (1, 3, 4, 5, 6, 8), (1, 3, 4, 5, 7, 8), (1, 3, 4, 6), (1, 3, 4, 6, 7, 8), (1, 3, 4, 7), (1, 3, 4, 8), (1, 3, 5, 6), (1, 3, 5, 6, 7, 8), (1, 3, 5, 7), (1, 3, 5, 8), (1, 3, 6, 7), (1, 3, 6, 8), (1, 3, 7, 8), (1, 4), (1, 4, 5, 6), (1, 4, 5, 6, 7, 8), (1, 4, 5, 7), (1, 4, 5, 8), (1, 4, 6, 7), (1, 4, 6, 8), (1, 4, 7, 8), (1, 5), (1, 5, 6, 7), (1, 5, 6, 8), (1, 5, 7, 8), (1, 6), (1, 6, 7, 8), (1, 7), (1, 8), (2, 3), (2, 3, 4, 5), (2, 3, 4, 5, 6, 7), (2, 3, 4, 5, 6, 8), (2, 3, 4, 5, 7, 8), (2, 3, 4, 6), (2, 3, 4, 6, 7, 8), (2, 3, 4, 7), (2, 3, 4, 8), (2, 3, 5, 6), (2, 3, 5, 6, 7, 8), (2, 3, 5, 7), (2, 3, 5, 8), (2, 3, 6, 7), (2, 3, 6, 8), (2, 3, 7, 8), (2, 4), (2, 4, 5, 6), (2, 4, 5, 6, 7, 8), (2, 4, 5, 7), (2, 4, 5, 8), (2, 4, 6, 7), (2, 4, 6, 8), (2, 4, 7, 8), (2, 5), (2, 5, 6, 7), (2, 5, 6, 8), (2, 5, 7, 8), (2, 6), (2, 6, 7, 8), (2, 7), (2, 8), (3, 4), (3, 4, 5, 6), (3, 4, 5, 6, 7, 8), (3, 4, 5, 7), (3, 4, 5, 8), (3, 4, 6, 7), (3, 4, 6, 8), (3, 4, 7, 8), (3, 5), (3, 5, 6, 7), (3, 5, 6, 8), (3, 5, 7, 8), (3, 6), (3, 6, 7, 8), (3, 7), (3, 8), (4, 5), (4, 5, 6, 7), (4, 5, 6, 8), (4, 5, 7, 8), (4, 6), (4, 6, 7, 8), (4, 7), (4, 8), (5, 6), (5, 6, 7, 8), (5, 7), (5, 8), (6, 7), (6, 8), (7, 8)])", "name": "echelon_ferrers", "value": 4141729}, {"parameter": "", "name": "cdc_lower_bound", "value": 3309747}, {"parameter": "", "name": "cdc_average_argument", "value": 71444}, {"parameter": "", "name": "layer_construction", "value": 4141729}, {"parameter": "", "name": "improved_cdc_lower_bound", "value": 4141729}], "request": [2, 9, 2], "comments": "", "equal_bound_constraints": [{"parameter": "", "name": "d2", "value": 4141729}]}