Details for entry \(A_4(13,6;5)\)

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)]
  ) : 281476339467536
• generalized_linkage ( 5,2 ) : 281476050456616
• generalized_linkage_multipleblocks ( show
  [5, 8],[0, 2]
  ) : 281476050456616
• improved_linkage ( 5 ) : 281476050456616
• two_pivot_block_construction ( ) : 281476050456576
• multicomponent ( ) : 281476050452481
• CKMP2019_Cor_42 ( (5, 8) ) : 281474976711681
• CKMP2019_Lem_41 ( (5, 8) ) : 281474976711681
• linkage_GLT ( 5 ) : 281474976711681
• LiuChangFeng2019_Theo_2_6 ( ) : 281474976710657
• LMRD ( ) : 281474976710656
• JohnsonLB ( ) : 281407351537213
• HKK_lemma_2_4_lower_bound ( ) : 274945692676
• sphere_covering ( ) : 49571331746
• graham_sloane ( ) : 1169203013
• trivial_1 ( ) : 0

Upper bounds

• improved_johnson ( ) : 287313458357361
• Ahlswede_Aydinian ( 0, 11, o ) : 287313458357365
• ilp_1 ( 1 ) : 287313458357365
• johnson_1 ( ) : 287313458357365
• anticode ( ) : 287344698156292
• ilp_2 ( 3 ) : 287344698156292
• linear_programming_bound ( ) : 287344698156292
• singleton ( ) : 406672215935205
• ilp_4 ( 12 ) : 4596738990566735
• johnson_2 ( ) : 4596738990566735
• HKK_lemma_2_4_upper_bound ( ) : 18391165430207023
• sphere_packing ( ) : 58906335277193071
• ilp_3 ( 7 ) : 1177317542708798800
• all_subs ( ) : 1755207390500040817377765

Bound for codes containing the lifted MRD code

Do you have better bounds?