SC: A_9(19,10;7)

Lower bounds

ef_computation (

[(0, 1, 2, 3, 4, 5, 6), (1, 2, 7, 8, 9, 10, 11), (3, 4, 7, 11, 12, 13, 14), (0, 6, 8, 10, 12, 13, 15), (3, 5, 9, 10, 14, 15, 16), (4, 5, 8, 9, 12, 17, 18), (1, 6, 11, 14, 15, 17, 18), (0, 2, 7, 13, 16, 17, 18)]

) : 22528399544939283830829279817612184

generalized_linkage ( 7,2 ) : 22528399544939283830829279387131851

generalized_linkage_multipleblocks (

[7, 12],[0, 2]

) : 22528399544939283830829279387131851

improved_linkage ( 7 ) : 22528399544939283830829279387131851

multicomponent ( ) : 22528399544939283830829279387131851

CKMP2019_Cor_42 ( (7, 12) ) : 22528399544939174411840147879555611

CKMP2019_Lem_41 ( (7, 12) ) : 22528399544939174411840147879555611

linkage_GLT ( 7 ) : 22528399544939174411840147879555611

LiuChangFeng2019_Theo_2_6 ( ) : 22528399544939174411840147874772642

LMRD ( ) : 22528399544939174411840147874772641

HKK_lemma_2_4_lower_bound ( ) : 58149737019717241777477236

sphere_covering ( ) : 69934753784802759358116

graham_sloane ( ) : 392869422

trivial_1 ( ) : 0

Upper bounds

improved_johnson ( ) : 22528828170170202047687233898055747

Ahlswede_Aydinian ( 0, 17, o ) : 22528828170170202047687233898055781

ilp_1 ( 1 ) : 22528828170170202047687233898055781

johnson_1 ( ) : 22528828170170202047687233898055781

anticode ( ) : 22528828173999107390633096601500531

ilp_2 ( 3 ) : 22528828173999107390633096601500531

linear_programming_bound ( ) : 22528828173999107390633096601500531

singleton ( ) : 25696504083440779881815469635549047

ilp_4 ( 18 ) : 147811641612449674906279658540011831730

johnson_2 ( ) : 147811641612449674906279658540011831730

HKK_lemma_2_4_upper_bound ( ) : 107754689238297473280471005050399543073979

sphere_packing ( ) : 453157775175801874516256113306018575984195247083

ilp_3 ( 11 ) : 273897963281002786554205194045094977972722798619128958

all_subs ( ) : 163526807242071685115835813551024717375245692141260970752894675669210919312157204

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Details for entry \(A_9(19,10;7)\)

Lower bounds

Upper bounds

Bound for codes containing the lifted MRD code

Do you have better bounds?