Details for entry \(A_4(9,5)\)

Lower bounds

• cdc_average_argument ( ) : 2095115
• ef_computation ( show
  [(0, 1, 2, 3), (0, 1, 4, 6, 7), (3, 4, 5), (1, 2, 5, 6, 8), (0, 2, 4, 5, 7, 8), (3, 6, 7, 8)]
  ) : 1048917
• echelon_ferrers ( show
  optimal [(0, 1, 2, 3), (0, 1, 4, 5, 8), (0, 2, 3, 5, 6, 7, 8), (1, 5, 6, 7), (2, 4, 7, 8), (3, 4, 6)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 1048917 with optimal [(0, 1, 2, 3), (0, 1, 4, 6, 7), (0, 2, 4, 5, 7, 8), (1, 2, 5, 6, 8), (3, 4, 5), (3, 6, 7, 8)])
  ) : 1048851
• improved_cdc_lower_bound ( ) : 1048642
• layer_construction ( ) : 1048642
• cdc_lower_bound ( ) : 1048641
• gilbert_varshamov ( ) : 5626
• trivial_4 ( ) : 2
• trivial_2 ( ) : 0

Upper bounds

• johnson_MDC_Lemma_4 ( ) : 2132180
• special_improved_cdc_upper_bound ( ) : 2132180
• heinlein_ihringer_semidefinite_programming ( ) : 2132181
• improved_cdc_upper_bound ( ) : 2132182
• cdc_upper_bound ( ) : 2132186
• relax_d ( ) : 1170810807
• trivial_3 ( ) : 3387887032202

Do you have better bounds?