Details for entry \(A_5(15,8;7)\)

Lower bounds

• two_pivot_block_construction ( ) : 23283064365539548725248
• ef_computation ( show
  [(0, 1, 2, 3, 4, 5, 6), (0, 2, 4, 7, 8, 9, 10), (1, 2, 5, 7, 8, 11, 12), (1, 3, 6, 7, 8, 9, 14), (0, 3, 5, 7, 9, 11, 13), (1, 3, 4, 9, 10, 11, 12), (0, 1, 6, 8, 10, 11, 13), (2, 3, 6, 7, 10, 12, 13), (1, 4, 5, 7, 10, 13, 14), (0, 3, 5, 8, 10, 12, 14), (0, 4, 6, 7, 11, 12, 14), (2, 3, 4, 8, 11, 13, 14), (2, 5, 6, 9, 10, 11, 14), (4, 5, 6, 8, 9, 12, 13), (0, 1, 2, 9, 12, 13, 14)]
  ) : 23283064365417502098275
• generalized_linkage ( 7,0 ) : 23283064365386963285020
• generalized_linkage_multipleblocks ( show
  [7, 8],[0, 0]
  ) : 23283064365386963285020
• improved_linkage ( 7 ) : 23283064365386962968751
• multicomponent ( ) : 23283064365386962968751
• LiuChangFeng2019_Theo_2_6 ( ) : 23283064365386962890658
• CKMP2019_Cor_42 ( (7, 8) ) : 23283064365386962890626
• CKMP2019_Lem_41 ( (7, 8) ) : 23283064365386962890626
• linkage_GLT ( 7 ) : 23283064365386962890626
• LMRD ( ) : 23283064365386962890625
• JohnsonLB ( ) : 23283004761095299648745
• JohnsonLB_special ( ) : 23283004761095299648745
• HKK_lemma_2_4_lower_bound ( ) : 37252903015195328755
• sphere_covering ( ) : 72836195647625
• graham_sloane ( ) : 256876662
• trivial_1 ( ) : 0

Upper bounds

• improved_johnson ( ) : 23329633454083565610111
• Ahlswede_Aydinian ( 0, 14, o ) : 23329633454083565610123
• ilp_1 ( 1 ) : 23329633454083565610123
• johnson_1 ( ) : 23329633454083565610123
• anticode ( ) : 23329633455427854003751
• ilp_2 ( 4 ) : 23329633455427854003751
• linear_programming_bound ( ) : 23329633455427854003751
• singleton ( ) : 30609934249224268600431
• ilp_4 ( 13 ) : 2914005377983880924169499
• johnson_2 ( ) : 2914005377983880924169499
• ilp_3 ( 10 ) : 2916211587706284632662228
• sphere_packing ( ) : 191390966510956743667487502655
• all_subs ( ) : 1825218456001772231793929085435472462931

Bound for codes containing the lifted MRD code

Do you have better bounds?