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

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Lower bounds

CKMP2019_Cor_45 (

(12,),(4,),(3,)

) : 1797321852988389531920805010386458522272468414930785473613
CKMP2019_Cor_42 ( (6, 12) ) : 1797321852988389531920805006952774701979955930272936384332
CKMP2019_Lem_41 ( (6, 12) ) : 1797321852988389531920805006952774701979955930272936384332
generalized_linkage ( 6,0 ) : 1797321852988389531920805006952774701979955930272936384332
generalized_linkage_multipleblocks (

[6, 12],[0, 0]

) : 1797321852988389531920805006952774701979955930272936384332
ChenHeWengXu2019_T31 ( ) : 1797321852988389531920805006910376195496045505877454362241
ChenHeWengXu2019_T41 ( ) : 1797321852988389530407874000031880315113074804045244546241
improved_linkage ( 12 ) : 1797321798992227247573956339573838993177080207666517907611
linkage_GLT ( 12 ) : 1797321798992227247573956339573838993176930089476205843292
linkage_ST ( 6 ) : 1797321798992227247573956339573838993176930089476205843292
construction_D ( 6 ) : 1797321798992227247573956339573838993176930089476205843291
JohnsonLB ( ) : 1797287533339500451982978935669045430177497821611508527162
construction_ST_B_recursive ( ) : 1797284276678768304936651365767825912265045395131270458430
construction_ST_B ( ) : 1797284276163312220558186709402738780477580107934039798173
LiuChangFeng2019_Theo_3_14 ( ) : 1797284276163312220558186702619119525767196206280406105532
LiuChangFeng2019_Theo_3_12 ( ) : 1797284234920384355883986655239316939972744765951440750805
two_pivot_block_construction ( ) : 1797284234411369371681264619652362995907913031708517072896
multicomponent ( ) : 1797010300429808731292999990002803251088546408595933889767
LiuChangFeng2019_Theo_2_6 ( ) : 1797010299914432315025280162310240527657014323655024213282
LMRD ( ) : 1797010299914431210413179829509605039731475627537851106401
graham_sloane ( ) : 30860543510703510571158523743928991141817598789555307
sphere_covering ( ) : 27431645849314822674310346842984264239824927330517053
HKK_lemma_2_4_lower_bound ( ) : 375775339696204628932013991687821312197353149381004
trivial_1 ( ) : 0

Upper bounds

Ahlswede_Aydinian ( 1, 5 ) : 1822284233764248491688153676911903438897112830041993324884
anticode ( ) : 1822284233764248491688153676911903438897112830041993324884
ilp_1 ( 1 ) : 1822284233764248491688153676911903438897112830041993324884
ilp_2 ( 5 ) : 1822284233764248491688153676911903438897112830041993324884
improved_johnson ( ) : 1822284233764248491688153676911903438897112830041993324884
johnson_1 ( ) : 1822284233764248491688153676911903438897112830041993324884
linear_programming_bound ( ) : 1822284233764248491688153676911903438897112830041993324884
singleton ( ) : 2050065905416034207242060732309202881550943087590159038828
ilp_4 ( 17 ) : 16400558099748845695818511299706367619275550617911675936703
johnson_2 ( ) : 16400558099748845695818511299706367619275550617911675936703
HKK_lemma_2_4_upper_bound ( ) : 107604084189412099448735253474869619933259359609476612763903559
ilp_3 ( 7 ) : 968436757951593294748644224470796025353998069504618815300565564
all_subs ( ) : 579000252913277034724666671128579290474420179812795955722564434314244
sphere_packing ( ) : 579000252913277034724666671128579290474420179812795955722564434314244

Bound for codes containing the lifted MRD code

(see EtzionSilberstein2012, Heinlein2018, and Kurz2019 for details)
1797326608581278929739608488085824000196634848308240436444

Do you have better bounds?

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