Details for entry \(A_3(10,5)\)

Lower bounds

• echelon_ferrers ( show
  optimal [(0, 1, 2, 3, 4), (0, 1, 2, 5, 8, 9), (0, 1, 5, 6, 7), (0, 2, 3, 6, 7, 8, 9), (0, 3, 4, 5, 7, 9), (0, 4, 6, 8), (1, 2, 4, 6, 7, 9), (1, 3, 4, 5, 6, 8, 9), (1, 3, 7, 8), (2, 3, 5, 6), (2, 4, 5, 7, 8), (9,)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 14351158 with not optimal [(0, 1, 2, 3, 4), (0, 1, 2, 5, 8, 9), (0, 1, 5, 6, 7), (0, 2, 4, 6, 7, 9), (0, 3, 4, 5, 7, 8), (1, 3, 7, 8, 9), (1, 4, 6, 8), (2, 3, 5, 6)])
  ) : 14351108
• ef_computation ( show
  [(0, 1, 2, 3, 4), (0, 1, 2, 6, 7, 9), (1, 4, 5, 6), (0, 2, 5, 6, 8), (2, 3, 5, 7), (0, 1, 3, 5, 8, 9), (0, 3, 4, 6, 7, 8), (0, 4, 5, 7, 9), (3, 6, 9), (1, 7, 8), (1, 2, 3, 4, 5, 6, 7, 8, 9), (2, 4, 8, 9)]
  ) : 14350144
• improved_cdc_lower_bound ( ) : 14349662
• layer_construction ( ) : 14349662
• cdc_lower_bound ( ) : 14349660
• cdc_average_argument ( ) : 2121549
• gilbert_varshamov ( ) : 17553
• trivial_4 ( ) : 2
• trivial_2 ( ) : 0

Upper bounds

• heinlein_ihringer_semidefinite_programming ( ) : 16008007
• improved_cdc_upper_bound ( ) : 16008458
• cdc_upper_bound ( ) : 16008462
• relax_d ( ) : 4112061519
• trivial_3 ( ) : 2544826627424

Do you have better bounds?