Details for entry \(A_5(10,6)\)

Lower bounds

• cdc_lower_bound ( ) : 30517593810
• ef_computation ( show
  [(0, 1, 2, 3, 4), (0, 1, 5, 6, 7), (0, 3, 5, 8, 9), (2, 3, 6, 7, 9), (2, 4, 5, 7, 8), (1, 4, 6, 8, 9)]
  ) : 30517593810
• improved_cdc_lower_bound ( ) : 30517593810
• layer_construction ( ) : 30517593810
• echelon_ferrers ( show
  optimal [(0, 1, 2, 3, 4), (0, 1, 5, 6, 7), (0, 2, 3, 6, 7, 8, 9), (1, 2, 5, 8, 9), (3, 4, 5, 6, 9)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 30517593810 with optimal [(0, 1, 2, 3, 4), (0, 1, 5, 6, 7), (0, 3, 5, 8, 9), (1, 4, 6, 8, 9), (2, 3, 6, 7, 9), (2, 4, 5, 7, 8)])
  ) : 30517593781
• cdc_average_argument ( ) : 93741
• gilbert_varshamov ( ) : 28371
• trivial_4 ( ) : 2
• trivial_2 ( ) : 0

Upper bounds

• johnson_MDC_Lemma_6 ( ) : 30703446960
• heinlein_ihringer_semidefinite_programming ( ) : 30703887393
• relax_d ( ) : 31196584033
• improved_cdc_upper_bound ( ) : 31196590084
• cdc_upper_bound ( ) : 31196590088
• trivial_3 ( ) : 549874114073747456

Do you have better bounds?