Details for entry \(A_2(19,10;7)\)

Lower bounds

• greedy_multicomponent ( show
  q^36 + q^21 + q^12 + q^6 + q^4 + 2
  ) : 68721578066
• ef_computation ( show
  [(0, 1, 2, 3, 4, 5, 6), (1, 2, 7, 8, 9, 10, 11), (3, 4, 7, 11, 12, 13, 14), (0, 6, 8, 10, 12, 13, 15), (3, 5, 9, 10, 14, 15, 16), (4, 5, 8, 9, 12, 17, 18), (1, 6, 11, 14, 15, 17, 18), (0, 2, 7, 13, 16, 17, 18)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 68721580114)
  ) : 68721574690
• generalized_linkage ( 7,2 ) : 68721573889
• generalized_linkage_multipleblocks ( show
  [7, 12],[0, 2]
  ) : 68721573889
• improved_linkage ( 7 ) : 68721573889
• multicomponent ( ) : 68721573889
• CKMP2019_Cor_42 ( (7, 12) ) : 68719476865
• CKMP2019_Lem_41 ( (7, 12) ) : 68719476865
• LiuChangFeng2019_Theo_2_6 ( ) : 68719476737
• LMRD ( ) : 68719476736
• HKK_lemma_2_4_lower_bound ( ) : 134348930
• sphere_covering ( ) : 6168988
• graham_sloane ( ) : 880

Upper bounds

• improved_johnson ( ) : 72575460033
• Ahlswede_Aydinian ( 0, 17, o ) : 72575460036
• linear_programming_bound ( ) : 72628655257
• HKK_lemma_2_4_upper_bound ( ) : 9328219312518

Bound for codes containing the lifted MRD code

Do you have better bounds?