Details for entry \(A_8(15,4;3)\)

Lower bounds

• EF_Kurz2020_linkage_special ( ) : 4732758539089585747081
• generalized_linkage ( 12,0 ) : 4732758539089563877449
• generalized_linkage_multipleblocks ( show
  [12, 3],[0, 0]
  ) : 4732758539089563877449
• CKMP2019_Cor_42 ( (12, 3) ) : 4732758539089563877377
• CKMP2019_Lem_41 ( (12, 3) ) : 4732758539089563877377
• improved_linkage ( 12 ) : 4732758539089563877377
• linkage_GLT ( 12 ) : 4732758539089563877377
• linkage_ST ( 3 ) : 4732758539089563877377
• construction_D ( 3 ) : 4732758539089563877376
• construction_1 ( ) : 4723705022121983980681
• construction_ST_A_1 ( ) : 4723705022121983980681
• ef_computation ( show
  [(0, 1, 2), (2, 3, 4), (1, 3, 5), (0, 4, 5), (0, 3, 6), (1, 4, 6), (2, 5, 6), (4, 7, 8), (5, 7, 9), (6, 8, 9), (3, 7, 10), (6, 7, 11), (5, 8, 10), (0, 8, 11), (0, 7, 12), (1, 9, 10), (2, 8, 12), (2, 7, 13), (4, 9, 11), (2, 10, 11), (1, 8, 13), (3, 9, 12), (1, 7, 14), (0, 9, 13), (3, 8, 14), (6, 10, 12), (4, 10, 13), (1, 11, 12), (2, 9, 14), (3, 11, 13), (0, 10, 14), (5, 12, 13), (5, 11, 14), (4, 12, 14), (6, 13, 14)]
  ) : 4723702081713920390281
• construction_ST_B_recursive ( ) : 4723537739959022957706
• construction_ST_B ( ) : 4723519963131293482821
• multicomponent ( ) : 4723519685917965025793
• two_pivot_block_construction ( ) : 4723519685917965025280
• JohnsonLB ( ) : 4722569697840974791379
• LMRD ( ) : 4722366482869645213696
• LiuChangFeng2019_Theo_2_6 ( ) : 4722366482869645213696
• graham_sloane ( ) : 75104887373786554441
• sphere_covering ( ) : 65845380712209744410
• HKK_lemma_2_4_lower_bound ( ) : 4467856773128
• trivial_1 ( ) : 0

Upper bounds

• Ahlswede_Aydinian ( 1, 2 ) : 4806712791930946228801
• anticode ( ) : 4806712791930946228801
• ilp_1 ( 1 ) : 4806712791930946228801
• ilp_2 ( 2 ) : 4806712791930946228801
• improved_johnson ( ) : 4806712791930946228801
• johnson_1 ( ) : 4806712791930946228801
• linear_programming_bound ( ) : 4806712791930946228801
• singleton ( ) : 5482656778286418474121
• ilp_4 ( 14 ) : 38453702304600997036615
• johnson_2 ( ) : 38453702304600997036615
• HKK_lemma_2_4_upper_bound ( ) : 80662951797791333922940694600
• ilp_3 ( 4 ) : 645303614908193267476563388317
• all_subs ( ) : 377502614721293061473789582165641
• sphere_packing ( ) : 377502614721293061473789582165641

Bound for codes containing the lifted MRD code

Do you have better bounds?