Details for entry \(A_7(10,6;4)\)

Lower bounds

• construction_1 ( ) : 13841404963
• ef_computation ( show
  [(0, 1, 2, 3), (0, 4, 5, 6), (1, 4, 7, 8), (2, 5, 7, 9), (3, 6, 8, 9)]
  ) : 13841404907
• pending_dots ( show
  optimal [(0, 1, 2, 3), (0, 6, 7, 8), (1, 5, 8, 9), (2, 4, 5, 6), (3, 4, 7, 9)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 13841404907 with optimal [(0, 1, 2, 3), (0, 4, 7, 8), (1, 4, 5, 6), (2, 5, 7, 9), (3, 6, 8, 9)])
  ) : 13841304017
• generalized_linkage ( 4,1 ) : 13841289603
• generalized_linkage_multipleblocks ( show
  [4, 6],[0, 1]
  ) : 13841289603
• improved_linkage ( 4 ) : 13841289603
• multicomponent ( ) : 13841289603
• CKMP2019_Cor_42 ( (4, 6) ) : 13841287202
• CKMP2019_Lem_41 ( (4, 6) ) : 13841287202
• LiuChangFeng2019_Theo_2_6 ( ) : 13841287201
• JohnsonLB ( ) : 13840464058
• HKK_lemma_2_4_lower_bound ( ) : 5781615
• sphere_covering ( ) : 4873141
• graham_sloane ( ) : 17215

Upper bounds

• improved_johnson ( ) : 13887542467
• Ahlswede_Aydinian ( 2, 2 ) : 13887542473
• linear_programming_bound ( ) : 13887542473
• HKK_lemma_2_4_upper_bound ( ) : 679555315748

Bound for codes containing the lifted MRD code

Do you have better bounds?