Details for entry \(A_8(14,6;5)\)

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, 4, 5, 9, 10), (0, 2, 7, 8, 9), (3, 4, 7, 8, 10), (2, 3, 6, 9, 10), (0, 2, 5, 11, 12), (1, 3, 6, 11, 12), (1, 4, 5, 11, 13), (0, 3, 7, 11, 13), (0, 4, 6, 12, 13), (2, 6, 8, 11, 13), (1, 2, 7, 12, 13), (4, 7, 9, 11, 12), (5, 8, 9, 12, 13)]
  ) : 2417851659532444951978560
• generalized_linkage ( 5,2 ) : 2417851657243657009927872
• generalized_linkage_multipleblocks ( show
  [5, 9],[0, 2]
  ) : 2417851657243657009927872
• improved_linkage ( 5 ) : 2417851657243657009927872
• multicomponent ( ) : 2417851657243656858927105
• two_pivot_block_construction ( ) : 2417851657243656858894336
• CKMP2019_Cor_42 ( (5, 9) ) : 2417851639229259423154689
• CKMP2019_Lem_41 ( (5, 9) ) : 2417851639229259423154689
• linkage_GLT ( 5 ) : 2417851639229259423154689
• LiuChangFeng2019_Theo_2_6 ( ) : 2417851639229258349412353
• LMRD ( ) : 2417851639229258349412352
• JohnsonLB ( ) : 2417842433906804397815350
• HKK_lemma_2_4_lower_bound ( ) : 9223407298653717064
• sphere_covering ( ) : 7964271125097154393
• graham_sloane ( ) : 18341191546577547
• trivial_1 ( ) : 0

Upper bounds

• improved_johnson ( ) : 2423248794198534818894377
• Ahlswede_Aydinian ( 2, 3 ) : 2423248794198534818894400
• anticode ( ) : 2423248794198534818894400
• ilp_1 ( 1 ) : 2423248794198534818894400
• ilp_2 ( 3 ) : 2423248794198534818894400
• johnson_1 ( ) : 2423248794198534818894400
• linear_programming_bound ( ) : 2423248794198534818894400
• singleton ( ) : 2812613653548502301460105
• ilp_4 ( 13 ) : 155087636825619997489549887
• johnson_2 ( ) : 155087636825619997489549887
• HKK_lemma_2_4_upper_bound ( ) : 9925646546224871267205824788
• sphere_packing ( ) : 70584391394994211273980408512
• ilp_3 ( 7 ) : 40655542874000006523566904413823
• all_subs ( ) : 50681462910057431534320730090844329858697

Bound for codes containing the lifted MRD code

Do you have better bounds?