SC: A_8(18,10;8)

Lower bounds

ef_computation (

[(0, 1, 2, 3, 4, 5, 6, 7), (0, 2, 4, 8, 9, 10, 11, 12), (1, 3, 5, 8, 9, 10, 13, 15), (1, 3, 6, 8, 11, 12, 14, 16), (2, 6, 7, 8, 9, 13, 14, 17), (4, 5, 6, 10, 11, 13, 16, 17), (0, 5, 7, 9, 11, 14, 15, 16), (3, 4, 7, 10, 12, 14, 15, 17), (0, 1, 2, 12, 13, 15, 16, 17)]

) : 1329227995784915872906058868686357505

generalized_linkage ( 8,3 ) : 1329227995784915872903807060297121793

generalized_linkage_multipleblocks (

[8, 10],[0, 3]

) : 1329227995784915872903807060297121793

improved_linkage ( 8 ) : 1329227995784915872903807060297121793

multicomponent ( ) : 1329227995784915872903807060297121793

CKMP2019_Cor_42 ( (8, 10) ) : 1329227995784915872903807060280344577

CKMP2019_Lem_41 ( (8, 10) ) : 1329227995784915872903807060280344577

LiuChangFeng2019_Theo_2_6 ( ) : 1329227995784915872903807060280344577

linkage_GLT ( 8 ) : 1329227995784915872903807060280344577

LMRD ( ) : 1329227995784915872903807060280344576

JohnsonLB ( ) : 1329227985881395567844136829222649921

HKK_lemma_2_4_lower_bound ( ) : 5070602400912919857786628870152

sphere_covering ( ) : 4058856872761066295217

graham_sloane ( ) : 136653121

trivial_1 ( ) : 0

Upper bounds

improved_johnson ( ) : 1329274345696838298381545994407120217

Ahlswede_Aydinian ( 0, 17, o ) : 1329274345696838298381545994407120233

ilp_1 ( 1 ) : 1329274345696838298381545994407120233

johnson_1 ( ) : 1329274345696838298381545994407120233

anticode ( ) : 1329274345696838324757167913105092169

ilp_2 ( 4 ) : 1329274345696838324757167913105092169

linear_programming_bound ( ) : 1329274345696838324757167913105092169

singleton ( ) : 1546628304496854696033468524851058313

ilp_4 ( 17 ) : 5444627401282664130471364849789664628735

johnson_2 ( ) : 5444627401282664130471364849789664628735

HKK_lemma_2_4_upper_bound ( ) : 5444627436777595259221079961284916247517

sphere_packing ( ) : 19251230185622379849692290339649042397569987

ilp_3 ( 12 ) : 22301523007898096353932975419597202648958024

all_subs ( ) : 2055893327496266957357670186770148926269239171925460767841525522246915721

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Details for entry \(A_8(18,10;8)\)

Lower bounds

Upper bounds

Bound for codes containing the lifted MRD code

Do you have better bounds?