Details for entry \(A_8(18,4;9)\)

Go to API

Lower bounds

CKMP2019_Cor_45 (

(9,),(5,),(4,)

) : 105342076388007705792562679545704178557661605228144984187966849024
CossidentePavese14_theorem311 ( ) : 105342076388007705792562679545704138086285816717655470742556780105
CKMP2019_Cor_42 ( (9, 9) ) : 105342076388007705792562679545704137992842397924804136293464276992
CKMP2019_Lem_41 ( (9, 9) ) : 105342076388007705792562679545704137992842397924804136293464276992
LiuChangFeng2019_Theo_2_6 ( ) : 105342076388007705792562679545704137992842397924804136293464276992
generalized_linkage ( 9,0 ) : 105342076388007705792562679545704137992842397924804136293464276992
generalized_linkage_multipleblocks (

[9, 9],[0, 0]

) : 105342076388007705792562679545704137992842397924804136293464276992
ChenHeWengXu2019_T31 ( ) : 105342076388007705792562679545704137992842397924804136293464276991
ChenHeWengXu2019_T41 ( ) : 105342076388007705792562679545704137992842397924804136293464276991
XuChen2018 ( ) : 105342076388007705792562679545704137992842397924804136293464276991
two_pivot_block_construction ( ) : 105338008955899935614292508482442721298669351302876851444624916480
improved_linkage ( 9 ) : 105312291668557192545577568956931241418685154638980207373595507809
multicomponent ( ) : 105312291668557192543924577007282429652188084692425987432571207681
linkage_GLT ( 9 ) : 105312291668557186697918027683670432318895095400549111254310977537
LMRD ( ) : 105312291668557186697918027683670432318895095400549111254310977536
HKK_lemma_2_4_lower_bound ( ) : 13167306854854097620966347824626542078843268330877783114493886984
JohnsonLB ( ) : 13167306842584212420871648743059863880525344172330233637643435041
graham_sloane ( ) : 6391000345071413092335406568674195419778152655915749559390
sphere_covering ( ) : 5592125385266645715653492031014667163204897808411152280312
trivial_1 ( ) : 0

Upper bounds

Ahlswede_Aydinian ( 0, 17 ) : 107223187753071699611430532672104706297863167467382317970481086055
ilp_4 ( 17 ) : 107223187753071699611430532672104706297863167467382317970481086055
johnson_2 ( ) : 107223187753071699611430532672104706297863167467382317970481086055
ilp_1 ( 1 ) : 107223187753071699611430532672104706297916360232376487550181846839
improved_johnson ( ) : 107223187753071699611430532672104706297916360232376487550181846839
johnson_1 ( ) : 107223187753071699611430532672104706297916360232376487550181846839
anticode ( ) : 107223193345197007407998284067134011916955457034958022906249028161
ilp_2 ( 8 ) : 107223193345197007407998284067134011916955457034958022906249028161
ilp_3 ( 10 ) : 107223193345197007407998284067134011916955457034958022906249028161
linear_programming_bound ( ) : 107223193345197007407998284067134011916955457034958022906249028161
singleton ( ) : 122540791367385816847328484466902844685204927676575001337492657801
all_subs ( ) : 16447146727193329004058368902159475477287925292359143177690227084224353929
sphere_packing ( ) : 16447146727193329004058368902159475477287925292359143177690227084224353929

Bound for codes containing the lifted MRD code

(see EtzionSilberstein2012, Heinlein2018, and Kurz2019 for details)
105342675246460027617833780442836000132734777941630469148666237520

Do you have better bounds?

You are welcome to contribute more information, clarifications, corrections and feature requests. If you want to contact us, press the “Contribute” button in the upper right corner or visit the About page. The preferred syntax for codes is GAP but feel free to submit any data in any format.