Details for entry \(A_3(10,6;5)\)

Lower bounds

• ef_computation ( show
  [(0, 1, 2, 3, 4), (0, 1, 5, 6, 7), (0, 4, 5, 8, 9), (2, 3, 5, 7, 9), (2, 4, 6, 7, 8), (1, 3, 6, 8, 9)]
  ) : 14349660
• Gorla_Ravagnani_2014 ( ) : 14349658
• pending_dots ( show
  optimal [(0, 1, 2, 3, 4), (0, 1, 5, 6, 7), (0, 3, 6, 8, 9), (1, 2, 5, 8, 9), (2, 4, 6, 7, 8), (3, 4, 5, 7, 9)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 14349660 with optimal [(0, 1, 2, 3, 4), (0, 1, 5, 6, 7), (0, 4, 6, 8, 9), (1, 3, 5, 8, 9), (2, 3, 6, 7, 8), (2, 4, 5, 7, 9)])
  ) : 14349648
• two_pivot_block_construction ( ) : 14349636
• generalized_linkage ( 5,0 ) : 14348935
• generalized_linkage_multipleblocks ( show
  [5, 5],[0, 0]
  ) : 14348935
• CKMP2019_Cor_42 ( (5, 5) ) : 14348908
• CKMP2019_Lem_41 ( (5, 5) ) : 14348908
• LiuChangFeng2019_Theo_2_6 ( ) : 14348908
• improved_linkage ( 5 ) : 14348908
• multicomponent ( ) : 14348908
• HKK_lemma_2_4_lower_bound ( ) : 1596585
• JohnsonLB ( ) : 1592255
• sphere_covering ( ) : 12699
• graham_sloane ( ) : 865

Upper bounds

• Ahlswede_Aydinian ( 0, 9 ) : 14886440
• improved_johnson ( ) : 14886440
• linear_programming_bound ( ) : 15146056

Bound for codes containing the lifted MRD code

Do you have better bounds?