Details for entry \(A_3(13,6;5)\)

Lower bounds

• ef_computation ( show
  [(0, 1, 2, 3, 4), (2, 4, 5, 6, 7), (0, 3, 5, 6, 8), (1, 3, 5, 7, 9), (1, 4, 6, 8, 9), (1, 2, 5, 8, 10), (0, 1, 6, 7, 10), (0, 2, 7, 8, 9), (0, 4, 5, 9, 10), (3, 4, 7, 8, 10), (2, 3, 6, 9, 10), (0, 2, 5, 11, 12), (3, 4, 6, 11, 12), (1, 7, 8, 11, 12)]
  ) : 282449429766
• generalized_linkage ( 5,2 ) : 282443886141
• generalized_linkage_multipleblocks ( show
  [5, 8],[0, 2]
  ) : 282443886141
• improved_linkage ( 5 ) : 282443886141
• two_pivot_block_construction ( ) : 282443886116
• multicomponent ( ) : 282443885389
• CKMP2019_Cor_42 ( (5, 8) ) : 282429536725
• CKMP2019_Lem_41 ( (5, 8) ) : 282429536725
• linkage_GLT ( 5 ) : 282429536725
• LiuChangFeng2019_Theo_2_6 ( ) : 282429536482
• LMRD ( ) : 282429536481
• JohnsonLB ( ) : 282057247651
• HKK_lemma_2_4_lower_bound ( ) : 1163911440
• sphere_covering ( ) : 246562529
• graham_sloane ( ) : 17041783
• trivial_1 ( ) : 0

Upper bounds

• improved_johnson ( ) : 297994507610
• Ahlswede_Aydinian ( 0, 11, o ) : 297994507612
• ilp_1 ( 1 ) : 297994507612
• johnson_1 ( ) : 297994507612
• anticode ( ) : 298183032894
• ilp_2 ( 3 ) : 298183032894
• linear_programming_bound ( ) : 298183032894
• singleton ( ) : 494894285941
• ilp_4 ( 12 ) : 2681554016132
• johnson_2 ( ) : 2681554016132
• HKK_lemma_2_4_upper_bound ( ) : 8054484590582
• sphere_packing ( ) : 18190998220631
• ilp_3 ( 7 ) : 217758848138613
• all_subs ( ) : 21658948312410865183

Bound for codes containing the lifted MRD code

Do you have better bounds?