Details for entry \(A_8(19,4;7)\)

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Lower bounds

EF_Kurz2020_special ( ) : 105338454839596844486744190127909498074561619935428942997712801930
construction_ST_B_recursive ( ) : 105338015236067410645641833582747817345721344700034406281261861226
construction_ST_B ( ) : 105338015236043828033693010347597699674861874860667671950170888540
LiuChangFeng2019_Theo_3_14 ( ) : 105338015236043828033693005488124256917769293480199665085752680960
LiuChangFeng2019_Theo_3_12 ( ) : 105338008955927361721322820431991052266405009601624054245600788480
two_pivot_block_construction ( ) : 105338008955899935614292508482442721298669351302876851444624916480
CKMP2019_Cor_45 (

(12,),(5,),(4,)

) : 105312757182486344739742229549304180594247174548760225245414031360
CKMP2019_Cor_42 ( (7, 12) ) : 105312757182486344739742229549283411406813035238246103260097150976
CKMP2019_Lem_41 ( (7, 12) ) : 105312757182486344739742229549283411406813035238246103260097150976
generalized_linkage ( 7,0 ) : 105312757182486344739742229549283411406813035238246103260097150976
generalized_linkage_multipleblocks (

[7, 12],[0, 0]

) : 105312757182486344739742229549283411406813035238246103260097150976
improved_linkage ( 7 ) : 105312291670090062963030990904770662927134096179493305843937419776
multicomponent ( ) : 105312291670089682238806217287227350534006147615004718669360005121
LiuChangFeng2019_Theo_2_6 ( ) : 105312291668584986949367496344365823429947929067749345974017851392
linkage_GLT ( 7 ) : 105312291668557186697918027683670432318914443601195423398215797098
LMRD ( ) : 105312291668557186697918027683670432318895095400549111254310977536
ChenHeWengXu2019_T31 ( ) : 1645970071250364083979171048170329592881327502684259725229962902
graham_sloane ( ) : 409023995091874635940228064878877984564869415324170471940673
HKK_lemma_2_4_lower_bound ( ) : 401848158999182157487410052666150380705333718522525936254976
sphere_covering ( ) : 357896166368789264029914539124721793194602432908327995925716
trivial_1 ( ) : 0

Upper bounds

Ahlswede_Aydinian ( 1, 6 ) : 107223186169559421659361686191203195377693657432543346050601132609
anticode ( ) : 107223186169559421659361686191203195377693657432543346050601132609
ilp_1 ( 1 ) : 107223186169559421659361686191203195377693657432543346050601132609
ilp_2 ( 6 ) : 107223186169559421659361686191203195377693657432543346050601132609
improved_johnson ( ) : 107223186169559421659361686191203195377693657432543346050601132609
johnson_1 ( ) : 107223186169559421659361686191203195377693657432543346050601132609
linear_programming_bound ( ) : 107223186169559421659361686191203195377693657432543346050601132609
singleton ( ) : 122540725761559997805240746641257692029742922745214204200122046089
ilp_4 ( 18 ) : 857785488668381875591010704423524986046608619543435113457135161927
johnson_2 ( ) : 857785488668381875591010704423524986046608619543435113457135161927
HKK_lemma_2_4_upper_bound ( ) : 439186196369357745234922218003467700578739682482801492986169674018167
ilp_3 ( 8 ) : 3513489573818030098472922941319498008141342469938284393950635593754077
all_subs ( ) : 8420938568600494548364485694992800253522721858112233429779216106152115820169
sphere_packing ( ) : 8420938568600494548364485694992800253522721858112233429779216106152115820169

Bound for codes containing the lifted MRD code

(see EtzionSilberstein2012, Heinlein2018, and Kurz2019 for details)
105342675120138671265196784912656724495344057824863910700556211849

Do you have better bounds?

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