Details for entry \(A_7(9,5)\)

Lower bounds

• cdc_average_argument ( ) : 564916901
• 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)]
  ) : 282478050
• echelon_ferrers ( show
  optimal [(0, 1, 2, 3, 4), (0, 1, 5, 6), (0, 2, 6, 7, 8), (1, 4, 7, 8), (2, 3, 5, 8), (3, 4, 5, 6, 7)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 282478050 with optimal [(0, 1, 2, 3, 4), (0, 1, 2, 6, 7, 8), (0, 3, 5, 6), (1, 4, 5, 8), (2, 5, 7), (3, 4, 6, 7, 8)])
  ) : 282477702
• improved_cdc_lower_bound ( ) : 282475594
• layer_construction ( ) : 282475594
• cdc_lower_bound ( ) : 282475593
• gilbert_varshamov ( ) : 194616
• trivial_4 ( ) : 2
• trivial_2 ( ) : 0

Upper bounds

• johnson_MDC_Lemma_4 ( ) : 566262546
• special_improved_cdc_upper_bound ( ) : 566262546
• heinlein_ihringer_semidefinite_programming ( ) : 566262547
• improved_cdc_upper_bound ( ) : 566262548
• cdc_upper_bound ( ) : 566262552
• relax_d ( ) : 4864200471305
• trivial_3 ( ) : 194585754101247008

Do you have better bounds?