{"upper_bound_constraints": [{"parameter": "", "name": "trivial_3", "value": 3387887032202}, {"parameter": "", "name": "heinlein_ihringer_semidefinite_programming", "value": 2341621613}, {"parameter": "", "name": "cdc_upper_bound", "value": 2365492170}, {"parameter": "", "name": "relax_d", "value": 1693943516101}, {"parameter": "", "name": "improved_cdc_upper_bound", "value": 2365492168}], "known_codes": [], "upper_bound": 2341621613, "classified": false, "lower_bound": 2157018288, "lower_bound_constraints": [{"parameter": "", "name": "trivial_2", "value": 0}, {"parameter": "", "name": "gilbert_varshamov", "value": 26481478}, {"parameter": "", "name": "trivial_4", "value": 2}, {"parameter": "optimal [(), (0, 1, 2, 3), (0, 1, 2, 4, 5), (0, 1, 2, 6, 8), (0, 1, 3, 4, 6), (0, 1, 3, 5, 7), (0, 1, 4, 7), (0, 1, 5, 6), (0, 2, 3, 4, 5, 7), (0, 2, 3, 4, 8), (0, 2, 3, 5, 6), (0, 2, 4, 5, 6, 7, 8), (0, 2, 4, 6), (0, 2, 5, 8), (0, 2, 7), (0, 3, 4, 5, 6, 8), (0, 3, 6, 7), (1, 2, 3, 4, 5, 6, 7, 8), (1, 2, 3, 4, 7), (1, 2, 3, 5, 8), (1, 2, 4, 8), (1, 2, 5, 7), (1, 3, 4, 5), (1, 3, 6, 8), (1, 4, 5, 7, 8), (1, 6, 7), (2, 3, 7, 8), (3, 4, 6, 7, 8), (4, 5, 6), (5, 6, 7, 8)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 1147270584 with optimal [(), (0, 1, 2, 3), (0, 1, 2, 4, 5), (0, 1, 2, 6, 8), (0, 1, 3, 4, 6), (0, 1, 3, 5, 7), (0, 1, 4, 7), (0, 1, 5, 6), (0, 2, 3, 4, 5, 7), (0, 2, 3, 4, 8), (0, 2, 3, 5, 6), (0, 2, 4, 5, 6, 7, 8), (0, 2, 4, 6), (0, 2, 5, 8), (0, 2, 7), (0, 3, 4, 5, 6, 8), (0, 3, 6, 7), (1, 2, 3, 4, 5, 6, 7, 8), (1, 2, 3, 4, 7), (1, 2, 3, 5, 8), (1, 2, 4, 8), (1, 2, 5, 7), (1, 3, 4, 5), (1, 3, 6, 8), (1, 4, 5, 7, 8), (1, 6, 7), (2, 3, 7, 8), (3, 4, 6, 7, 8), (4, 5, 6), (5, 6, 7, 8)])", "name": "echelon_ferrers", "value": 1147270584}, {"parameter": "[(0, 1, 2, 3), (0, 1, 2, 4, 5), (0, 1, 3, 4, 6), (1, 3, 4, 5), (0, 2, 3, 5, 6), (0, 1, 3, 5, 7), (0, 2, 3, 4, 8), (0, 1, 5, 6), (0, 2, 4, 6), (0, 1, 4, 7), (0, 1, 2, 6, 8), (1, 2, 3, 4, 7), (1, 2, 5, 7), (1, 2, 4, 8), (1, 2, 3, 5, 8), (0, 2, 3, 4, 5, 7), (0, 2, 7), (0, 2, 5, 8), (0, 3, 6, 7), (2, 3, 6, 8), (4, 5, 6), (1, 3, 7, 8), (0, 1, 4, 5, 6, 7, 8), (0, 3, 4, 5, 6, 8), (1, 6, 7), (2, 4, 5, 7, 8), (3, 4, 6, 7, 8), (1, 2, 3, 4, 5, 6, 7, 8), 3, (5, 6, 7, 8)]", "name": "ef_computation", "value": 1147270584}, {"parameter": "", "name": "cdc_lower_bound", "value": 1078557605}, {"parameter": "", "name": "cdc_average_argument", "value": 2157018288}, {"parameter": "", "name": "layer_construction", "value": 1078575079}, {"parameter": "", "name": "improved_cdc_lower_bound", "value": 1078575079}], "request": [4, 9, 3], "comments": "", "equal_bound_constraints": []}