Details for entry \(A_7(19,8;6)\)

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Lower bounds

generalized_linkage ( 6,2 ) : 909543680195573503184417845947542
generalized_linkage_multipleblocks (

[6, 13],[0, 2]

) : 909543680195573503184417845947542
improved_linkage ( 6 ) : 909543680195573503184417845947542
multicomponent ( ) : 909543680195573503183753141315888
CKMP2019_Cor_42 ( (12, 7) ) : 909543680131230136733073148990301
CKMP2019_Lem_41 ( (12, 7) ) : 909543680131230136733073148990301
linkage_GLT ( 12 ) : 909543680131230136733073148990301
LiuChangFeng2019_Theo_2_6 ( ) : 909543680129861140820205019889144
LMRD ( ) : 909543680129861140820205019889143
sphere_covering ( ) : 18888281898134804504937533
HKK_lemma_2_4_lower_bound ( ) : 3219906314363793726549906
graham_sloane ( ) : 4004886270338579670
trivial_1 ( ) : 0

Upper bounds

improved_johnson ( ) : 909984534074017423330104337844030
Ahlswede_Aydinian ( 0, 18, o ) : 909984534074017423330104337844041
ilp_1 ( 1 ) : 909984534074017423330104337844041
johnson_1 ( ) : 909984534074017423330104337844041
anticode ( ) : 909984534130369605914676459216754
ilp_2 ( 3 ) : 909984534130369605914676459216754
linear_programming_bound ( ) : 909984534130369605914676459216754
singleton ( ) : 1086408630029793075132746383601600
ilp_4 ( 18 ) : 312124695209928849224655725470533164
johnson_2 ( ) : 312124695209928849224655725470533164
HKK_lemma_2_4_upper_bound ( ) : 5245886122238604645204542194722303532449
sphere_packing ( ) : 446038770474695112334315585808236529098578458840475
ilp_3 ( 9 ) : 508268815853654995342908677236025319036448215760102
all_subs ( ) : 988615051072874322550386866436854764388885735727579997588502269428

Bound for codes containing the lifted MRD code

(see EtzionSilberstein2012, Heinlein2018, and Kurz2019 for details)
909543680197166687347465895292893

Do you have better bounds?

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