Details for entry \(A_7(18,6;4)\)

Lower bounds

• construction_1 ( ) : 459990459421583032725007
• CKMP2019_Cor_42 ( (14, 4) ) : 459990459421583024901758
• CKMP2019_Lem_41 ( (14, 4) ) : 459990459421583024901758
• generalized_linkage ( 14,0 ) : 459990459421583024901758
• generalized_linkage_multipleblocks ( show
  [14, 4],[0, 0]
  ) : 459990459421583024901758
• improved_linkage ( 14 ) : 459990459421583024901758
• linkage_GLT ( 14 ) : 459990459421583024901758
• construction_ST_A_1 ( ) : 459990448305183897518607
• 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)]
  ) : 459990448261645752975357
• multicomponent ( ) : 459990446399021757009701
• LMRD ( ) : 459986536544739960976801
• LiuChangFeng2019_Theo_2_6 ( ) : 459986536544739960976801
• JohnsonLB ( ) : 459959180859420592582875
• sphere_covering ( ) : 161938157155177363904
• graham_sloane ( ) : 572087706370988046
• HKK_lemma_2_4_lower_bound ( ) : 33330102881208
• trivial_1 ( ) : 0

Upper bounds

• improved_johnson ( ) : 461523747870636864003714
• Ahlswede_Aydinian ( 0, 17, o ) : 461523747870636864003724
• ilp_1 ( 1 ) : 461523747870636864003724
• johnson_1 ( ) : 461523747870636864003724
• anticode ( ) : 461523747887016228848203
• ilp_2 ( 2 ) : 461523747887016228848203
• linear_programming_bound ( ) : 461523747887016228848203
• singleton ( ) : 547831187620860507371400
• ilp_4 ( 17 ) : 22614663645096011116557992
• johnson_2 ( ) : 22614663645096011116557992
• HKK_lemma_2_4_upper_bound ( ) : 130376792886902374708518467090456
• sphere_packing ( ) : 798843055717193780002007180633154
• ilp_3 ( 6 ) : 36828530074162577714239167361389047822604
• all_subs ( ) : 252837102920174710815258157966943521953179933604

Bound for codes containing the lifted MRD code

Do you have better bounds?