Details for entry \(A_5(15,4;3)\)

Lower bounds

• EF_Kurz2020_linkage_special ( ) : 60179901440933431
• generalized_linkage ( 12,0 ) : 60179901440328156
• generalized_linkage_multipleblocks ( show
  [12, 3],[0, 0]
  ) : 60179901440328156
• CKMP2019_Cor_42 ( (12, 3) ) : 60179901440328126
• CKMP2019_Lem_41 ( (12, 3) ) : 60179901440328126
• improved_linkage ( 12 ) : 60179901440328126
• linkage_GLT ( 12 ) : 60179901440328126
• linkage_ST ( 3 ) : 60179901440328126
• construction_D ( 3 ) : 60179901440328125
• construction_1 ( ) : 59728821115620931
• construction_ST_A_1 ( ) : 59728821115620931
• 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)]
  ) : 59727630933120931
• construction_ST_B_recursive ( ) : 59704016553145932
• construction_ST_B ( ) : 59700312003096180
• two_pivot_block_construction ( ) : 59700165039453744
• multicomponent ( ) : 59700165039453251
• JohnsonLB ( ) : 59636978540328338
• LMRD ( ) : 59604644775390625
• LiuChangFeng2019_Theo_2_6 ( ) : 59604644775390625
• graham_sloane ( ) : 2503555305645031
• sphere_covering ( ) : 2018996222220099
• HKK_lemma_2_4_lower_bound ( ) : 6357828755
• trivial_1 ( ) : 0

Upper bounds

• Ahlswede_Aydinian ( 1, 2 ) : 62588882690347651
• anticode ( ) : 62588882690347651
• ilp_1 ( 1 ) : 62588882690347651
• ilp_2 ( 2 ) : 62588882690347651
• improved_johnson ( ) : 62588882690347651
• johnson_1 ( ) : 62588882690347651
• linear_programming_bound ( ) : 62588882690347651
• singleton ( ) : 77610214474995931
• ilp_4 ( 14 ) : 312944388840787654
• johnson_2 ( ) : 312944388840787654
• HKK_lemma_2_4_upper_bound ( ) : 24487961015669402161280
• ilp_3 ( 4 ) : 122439815108616830483592
• all_subs ( ) : 19100611156944225555440431
• sphere_packing ( ) : 19100611156944225555440431

Bound for codes containing the lifted MRD code

Do you have better bounds?