Details for entry \(A_2(19,12;8)\)

Lower bounds

• ef_computation ( show
  [(0, 1, 2, 3, 4, 5, 6, 7), (0, 1, 8, 9, 10, 11, 12, 13), (7, 12, 13, 14, 15, 16, 17, 18)] (if conjecture about Ferrers Diagram Rank-Metric Codes is true: 8589938689)
  ) : 8589934657
• greedy_multicomponent ( show
  q^33 + q^6 + 1
  ) : 8589934657
• CKMP2019_Cor_42 ( (8, 11) ) : 8589934593
• CKMP2019_Lem_41 ( (8, 11) ) : 8589934593
• LiuChangFeng2019_Theo_2_6 ( ) : 8589934593
• generalized_linkage ( 8,0 ) : 8589934593
• generalized_linkage_multipleblocks ( show
  [8, 11],[0, 0]
  ) : 8589934593
• improved_linkage ( 8 ) : 8589934593
• linkage_GLT ( 8 ) : 8589934593
• multicomponent ( ) : 8589934593
• LMRD ( ) : 8589934592
• HKK_lemma_2_4_lower_bound ( ) : 33562626
• sphere_covering ( ) : 92135
• graham_sloane ( ) : 1
• trivial_1 ( ) : 0

Upper bounds

• improved_johnson ( ) : 8767859154
• Ahlswede_Aydinian ( 0, 18, o ) : 8767859159
• ilp_1 ( 1 ) : 8767859159
• johnson_1 ( ) : 8767859159
• anticode ( ) : 8829365933
• ilp_2 ( 3 ) : 8829365933
• linear_programming_bound ( ) : 8829365933
• singleton ( ) : 26167664835
• ilp_4 ( 18 ) : 280434576927
• johnson_2 ( ) : 280434576927
• HKK_lemma_2_4_upper_bound ( ) : 561692347329
• ilp_3 ( 13 ) : 290280963680126
• sphere_packing ( ) : 8849788782474253
• all_subs ( ) : 1066968301301093995246996371

Bound for codes containing the lifted MRD code

Do you have better bounds?