Details for entry \(A_2(18,4;4)\)

Lower bounds

• EF_Kurz2020_linkage_special ( ) : 5158164354661
• CKMP2019_Cor_45 ( show
  (6,),(2,),(1,)
  ) : 5158157544758
• CKMP2019_Cor_42 ( (12, 6) ) : 5158157282614
• CKMP2019_Lem_41 ( (12, 6) ) : 5158157282614
• generalized_linkage ( 12,0 ) : 5158157282614
• generalized_linkage_multipleblocks ( show
  [12, 6],[0, 0]
  ) : 5158157282614
• improved_linkage ( 12 ) : 5158154277569
• linkage_GLT ( 12 ) : 5158154272789
• linkage_ST ( 6 ) : 5158154272789
• construction_D ( 6 ) : 5158154272768
• ChenHeWengXu2019_T31 ( ) : 5059116668929
• JohnsonLB ( ) : 4849364032549
• construction_ST_B_recursive ( ) : 4765809566917
• LiuChangFeng2019_Theo_3_12 ( ) : 4741644468190
• construction_ST_B ( ) : 4692395211418
• LiuChangFeng2019_Theo_3_14 ( ) : 4692395197440
• two_pivot_block_construction ( ) : 4691249610752
• multicomponent ( ) : 4467856773137
• LiuChangFeng2019_Theo_2_6 ( ) : 4398047084510
• LMRD ( ) : 4398046511104
• graham_sloane ( ) : 893523633507
• sphere_covering ( ) : 476572238064
• HKK_lemma_2_4_lower_bound ( ) : 3271158070
• coset_construction_parallelism_part ( show
  [(357908480, '(1,1), 2: 357908480'), (782888960, '(1,1), 4: 782888960'), (909941760, '(1,1), 6: 909941760'), (942360320, '(1,1), 8: 942360320'), (235590080, '(1,1), 10: 235590080'), (14217840, '(1,1), 12: 14217840'), (764540, '(1,1), 14: 764540'), (21845, '(1,1), 16: 21845'), (21845, '(2,2), 16: 21845'), (357908480, '(2,2), 2: 357908480')]
  ) : 942360320
• trivial_1 ( ) : 0

Upper bounds

• improved_johnson ( ) : 7148379931141
• Ahlswede_Aydinian ( 0, 17, o ) : 7148379931144
• ilp_1 ( 1 ) : 7148379931144
• johnson_1 ( ) : 7148379931144
• anticode ( ) : 7148379951117
• ilp_2 ( 3 ) : 7148379951117
• linear_programming_bound ( ) : 7148379951117
• singleton ( ) : 13402854502595
• ilp_4 ( 17 ) : 14295450755069
• johnson_2 ( ) : 14295450755069
• HKK_lemma_2_4_upper_bound ( ) : 3777457576134061
• ilp_3 ( 5 ) : 7555837608330669
• all_subs ( ) : 234230965858250739
• sphere_packing ( ) : 234230965858250739

Bound for codes containing the lifted MRD code

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