Details for entry \(A_9(19,8;5)\)

Lower bounds

• construction_1 ( ) : 523347645185048907969003136
• construction_ST_A_1 ( ) : 523347645185048877034552336
• ef_computation ( show
  [(0, 1, 2, 3, 4), (4, 5, 6, 7, 8), (2, 6, 9, 10, 11), (3, 8, 11, 12, 13), (0, 5, 10, 12, 14), (1, 7, 9, 12, 15), (1, 6, 13, 14, 16), (4, 10, 13, 15, 17), (2, 8, 14, 15, 18), (0, 8, 9, 16, 17), (3, 7, 10, 16, 18), (1, 5, 11, 17, 18)]
  ) : 523347645185048876980206844
• CKMP2019_Cor_42 ( (14, 5) ) : 523347645185028541623053053
• CKMP2019_Lem_41 ( (14, 5) ) : 523347645185028541623053053
• generalized_linkage ( 14,0 ) : 523347645185028541623053053
• generalized_linkage_multipleblocks ( show
  [14, 5],[0, 0]
  ) : 523347645185028541623053053
• improved_linkage ( 14 ) : 523347645185028541623053053
• linkage_GLT ( 14 ) : 523347645185028541623053053
• multicomponent ( ) : 523347645185026278699976804
• LMRD ( ) : 523347633027360537213511521
• LiuChangFeng2019_Theo_2_6 ( ) : 523347633027360537213511521
• sphere_covering ( ) : 864837992193717477326
• HKK_lemma_2_4_lower_bound ( ) : 1853302661435052
• graham_sloane ( ) : 23198497954296
• trivial_1 ( ) : 0

Upper bounds

• improved_johnson ( ) : 523436276068246643227234993
• Ahlswede_Aydinian ( 0, 18, o ) : 523436276068246643227235014
• ilp_1 ( 1 ) : 523436276068246643227235014
• johnson_1 ( ) : 523436276068246643227235014
• anticode ( ) : 523436276069253518132042064
• ilp_2 ( 2 ) : 523436276069253518132042064
• linear_programming_bound ( ) : 523436276069253518132042064
• singleton ( ) : 596125663245224644870826488
• ilp_4 ( 18 ) : 381585045253301511381035709794
• johnson_2 ( ) : 381585045253301511381035709794
• HKK_lemma_2_4_upper_bound ( ) : 1825112876581927964605943243403370331
• sphere_packing ( ) : 37629639475741901049147133807995177603349876564043
• ilp_3 ( 8 ) : 30437746136116296700646966229901852929751322431249926
• all_subs ( ) : 7148137820029694060329151542340927025750946128111633510288306711436

Bound for codes containing the lifted MRD code

Do you have better bounds?