Details for entry \(A_9(10,4)\)

Lower bounds

• improved_cdc_lower_bound ( ) : 12159772591358508653
• layer_construction ( ) : 12159772591358508653
• cdc_lower_bound ( ) : 12159772591358508651
• ef_computation ( show
  [(0, 1, 2, 3, 4), (0, 1, 2, 5, 6), (0, 1, 3, 5, 7), (0, 1, 3, 6, 8), (0, 2, 3, 6, 7), (0, 2, 3, 5, 8), (0, 3, 4, 5, 6), (0, 1, 2, 7, 8), (0, 1, 4, 6, 7), (0, 1, 4, 5, 8), (0, 2, 4, 5, 7), (1, 2, 3, 5, 9), (0, 2, 4, 6, 8), (1, 2, 4, 6, 9), (0, 3, 4, 7, 8), (1, 2, 3, 4, 5, 6, 7), (0, 1, 9), (1, 3, 4, 7, 9), (2, 3, 4, 8, 9), (0, 5, 6, 7, 8), (1, 5, 6, 7, 9), (1, 2, 3, 6, 7, 8, 9), (4, 5, 9), (2, 5, 6, 8, 9), (3, 6, 9), (1, 2, 4, 5, 7, 8, 9), (2, 7, 9), (1, 3, 4, 5, 6, 8, 9), (3, 5, 7, 8, 9), (0, 2, 3, 4, 5, 6, 7, 8, 9), 8, (4, 6, 7, 8, 9)]
  ) : 12159543650787728040
• echelon_ferrers ( show
  optimal [(0, 1, 2, 3, 4), (0, 1, 2, 5, 6), (0, 1, 2, 7, 8), (0, 1, 3, 5, 7), (0, 1, 3, 6, 8), (0, 1, 4, 5, 8), (0, 1, 4, 6, 7), (0, 1, 9), (0, 2, 3, 4, 5, 6, 7, 8, 9), (0, 2, 3, 5, 8), (0, 2, 3, 6, 7), (0, 2, 4, 5, 7), (0, 2, 4, 6, 8), (0, 3, 4, 5, 6), (0, 3, 4, 7, 8), (0, 5, 6, 7, 8), (1, 2, 3, 4, 5, 6, 7), (1, 2, 3, 5, 9), (1, 2, 3, 6, 7, 8, 9), (1, 2, 4, 5, 7, 8, 9), (1, 2, 4, 6, 9), (1, 3, 4, 5, 6, 8, 9), (1, 3, 4, 7, 9), (1, 5, 6, 7, 9), (2, 3, 4, 8, 9), (2, 5, 6, 8, 9), (2, 7, 9), (3, 5, 7, 8, 9), (3, 6, 9), (4, 5, 9), (4, 6, 7, 8, 9), (8,)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 12159543650787725312 with optimal [(0, 1, 2, 3, 4), (0, 1, 2, 5, 6), (0, 1, 2, 7, 8), (0, 1, 3, 5, 7), (0, 1, 3, 6, 8), (0, 1, 4, 5, 8), (0, 1, 4, 6, 7), (0, 1, 9), (0, 2, 3, 4, 5, 6, 7, 8, 9), (0, 2, 3, 5, 8), (0, 2, 3, 6, 7), (0, 2, 4, 5, 7), (0, 2, 4, 6, 8), (0, 3, 4, 5, 6), (0, 3, 4, 7, 8), (0, 5, 6, 7, 8), (1, 2, 3, 4, 5, 6, 7), (1, 2, 3, 5, 9), (1, 2, 3, 6, 7, 8, 9), (1, 2, 4, 5, 7, 8, 9), (1, 2, 4, 6, 9), (1, 3, 4, 5, 6, 8, 9), (1, 3, 4, 7, 9), (1, 5, 6, 7, 9), (2, 3, 4, 8, 9), (2, 5, 6, 8, 9), (2, 7, 9), (3, 5, 7, 8, 9), (3, 6, 9), (4, 5, 9), (4, 6, 7, 8, 9), (8,)])
  ) : 12159543650787725312
• cdc_average_argument ( ) : 2824285807064
• gilbert_varshamov ( ) : 834913383389
• trivial_4 ( ) : 2
• trivial_2 ( ) : 0

Upper bounds

• relax_d ( ) : 12631411651454061892
• special_improved_cdc_upper_bound ( ) : 12631411651454061892
• improved_cdc_upper_bound ( ) : 12631411651454061894
• cdc_upper_bound ( ) : 12631411651454061896
• trivial_3 ( ) : 1001235747932175990213632

Do you have better bounds?