Details for entry \(A_5(6,3)\)

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: 15712 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,)])
  ) : 15712
• 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)]
  ) : 15712
• improved_cdc_lower_bound ( ) : 15688
• layer_construction ( ) : 15688
• cdc_lower_bound ( ) : 15686
• cdc_average_argument ( ) : 3777
• gilbert_varshamov ( ) : 692
• trivial_4 ( ) : 2
• trivial_2 ( ) : 0

Upper bounds

• Etzion_Vardy_ilp ( ) : 17178
• special_improved_cdc_upper_bound ( ) : 17178
• heinlein_ihringer_semidefinite_programming ( ) : 17179
• Ahlswede_Aydinian_ilp ( ) : 17180
• improved_cdc_upper_bound ( ) : 17180
• cdc_upper_bound ( ) : 17182
• relax_d ( ) : 2566368
• trivial_3 ( ) : 3583232

Do you have better bounds?