Details for entry \(A_4(6,3)\)

Lower bounds

• echelon_ferrers ( show
  optimal [(0, 1, 2), (0, 1, 3, 5), (0, 2, 4, 5), (0, 3, 4), (1, 2, 3, 4, 5), (1, 4), (2, 3), (5,)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 4154 with optimal [(0, 1, 2), (0, 1, 3, 5), (0, 2, 4, 5), (0, 3, 4), (1, 2, 3, 4, 5), (1, 4), (2, 3), (5,)])
  ) : 4154
• ef_computation ( show
  [(0, 1, 2), (0, 3, 4), (0, 1, 4, 5), (1, 3), (0, 2, 3, 5), (2, 4), 5, (1, 2, 3, 4, 5)]
  ) : 4154
• improved_cdc_lower_bound ( ) : 4139
• layer_construction ( ) : 4139
• cdc_lower_bound ( ) : 4137
• cdc_average_argument ( ) : 1298
• gilbert_varshamov ( ) : 287
• trivial_4 ( ) : 2
• trivial_2 ( ) : 0

Upper bounds

• Etzion_Vardy_ilp ( ) : 4771
• special_improved_cdc_upper_bound ( ) : 4771
• heinlein_ihringer_semidefinite_programming ( ) : 4772
• Ahlswede_Aydinian_ilp ( ) : 4773
• improved_cdc_upper_bound ( ) : 4773
• cdc_upper_bound ( ) : 4775
• relax_d ( ) : 379535
• trivial_3 ( ) : 565723

Do you have better bounds?