Details for entry \(A_9(18,6;4)\)

Lower bounds

• construction_1 ( ) : 523348619300856206823149857
• CKMP2019_Cor_42 ( (14, 4) ) : 523348619300856206768744416
• CKMP2019_Lem_41 ( (14, 4) ) : 523348619300856206768744416
• generalized_linkage ( 14,0 ) : 523348619300856206768744416
• generalized_linkage_multipleblocks ( show
  [14, 4],[0, 0]
  ) : 523348619300856206768744416
• improved_linkage ( 14 ) : 523348619300856206768744416
• linkage_GLT ( 14 ) : 523348619300856206768744416
• construction_ST_A_1 ( ) : 523348617969229891288251457
• ef_computation ( show
  [(0, 1, 2, 3), (2, 4, 5, 6), (3, 5, 7, 8), (0, 4, 7, 9), (1, 6, 7, 10), (0, 6, 8, 11), (2, 8, 9, 10), (1, 5, 9, 11), (1, 4, 8, 12), (3, 4, 10, 11), (3, 6, 9, 12), (0, 5, 10, 12), (2, 7, 11, 12), (2, 13, 14, 15), (5, 15, 16, 17)]
  ) : 523348617966938995053746215
• multicomponent ( ) : 523348617800115744500380645
• LMRD ( ) : 523347633027360537213511521
• LiuChangFeng2019_Theo_2_6 ( ) : 523347633027360537213511521
• JohnsonLB ( ) : 523338771592089086404197491
• sphere_covering ( ) : 70242080585295340948167
• graham_sloane ( ) : 110955817483625295782
• HKK_lemma_2_4_lower_bound ( ) : 1855565546254110
• trivial_1 ( ) : 0

Upper bounds

• improved_johnson ( ) : 524146405326332306853282161
• Ahlswede_Aydinian ( 0, 17, o ) : 524146405326332306853282174
• ilp_1 ( 1 ) : 524146405326332306853282174
• johnson_1 ( ) : 524146405326332306853282174
• anticode ( ) : 524146405327250032360575873
• ilp_2 ( 2 ) : 524146405327250032360575873
• linear_programming_bound ( ) : 524146405327250032360575873
• singleton ( ) : 596125663245224644870826488
• ilp_4 ( 17 ) : 42455858831375464472611108130
• johnson_2 ( ) : 42455858831375464472611108130
• HKK_lemma_2_4_upper_bound ( ) : 1827616460774769130511326630804214850
• sphere_packing ( ) : 14805699252828530837200265569395953551
• ilp_3 ( 6 ) : 6372516557474480965096086648549180037473526732
• all_subs ( ) : 312457123513307273614414913918190370261341325673469556

Bound for codes containing the lifted MRD code

Do you have better bounds?