Details for entry \(A_3(19,8;5)\)

Lower bounds

• construction_ST_A_1 ( ) : 22880284121794
• 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)]
  ) : 22880284107916
• CKMP2019_Cor_42 ( (14, 5) ) : 22880280892735
• CKMP2019_Lem_41 ( (14, 5) ) : 22880280892735
• generalized_linkage ( 14,0 ) : 22880280892735
• generalized_linkage_multipleblocks ( show
  [14, 5],[0, 0]
  ) : 22880280892735
• improved_linkage ( 14 ) : 22880280892735
• linkage_GLT ( 14 ) : 22880280892735
• multicomponent ( ) : 22880279770804
• LMRD ( ) : 22876792454961
• LiuChangFeng2019_Theo_2_6 ( ) : 22876792454961
• sphere_covering ( ) : 19221919278
• HKK_lemma_2_4_lower_bound ( ) : 43584726
• graham_sloane ( ) : 5681022
• trivial_1 ( ) : 0

Upper bounds

• improved_johnson ( ) : 23258436836655
• Ahlswede_Aydinian ( 0, 18, o ) : 23258436836659
• ilp_1 ( 1 ) : 23258436836659
• johnson_1 ( ) : 23258436836659
• anticode ( ) : 23258466133332
• ilp_2 ( 2 ) : 23258466133332
• linear_programming_bound ( ) : 23258466133332
• singleton ( ) : 38604583680520
• ilp_4 ( 18 ) : 627977924262530
• johnson_2 ( ) : 627977924262530
• HKK_lemma_2_4_upper_bound ( ) : 1375273954420379747
• sphere_packing ( ) : 5137286863805203869314997
• ilp_3 ( 8 ) : 177711640790778366991306153
• all_subs ( ) : 4459723384904004537589585475440372

Bound for codes containing the lifted MRD code

Do you have better bounds?