Details for entry \(A_8(18,4;6)\)

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Lower bounds

CKMP2019_Cor_45 (

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

) : 1532929073533720132661410675974800560957626023178928128
CKMP2019_Cor_42 ( (6, 12) ) : 1532929073533720132661410596746638046693288429634977792
CKMP2019_Lem_41 ( (6, 12) ) : 1532929073533720132661410596746638046693288429634977792
generalized_linkage ( 6,0 ) : 1532929073533720132661410596746638046693288429634977792
generalized_linkage_multipleblocks (

[6, 12],[0, 0]

) : 1532929073533720132661410596746638046693288429634977792
ChenHeWengXu2019_T31 ( ) : 1532929073533720132661410595508347901522332371491487744
ChenHeWengXu2019_T41 ( ) : 1532929073533720120343154848157539946320174365857546241
improved_linkage ( 12 ) : 1532928950959632586319202220195864206348896487823790656
linkage_GLT ( 12 ) : 1532928950959632586319202220195864206330877522059722753
linkage_ST ( 6 ) : 1532928950959632586319202220195864206330877522059722753
construction_D ( 6 ) : 1532928950959632586319202220195864206330877522059722752
JohnsonLB ( ) : 1532875534180601098285076639229478276960372367101213960
construction_ST_B_recursive ( ) : 1532869869444958844901232682939560758444622493792337920
construction_ST_B ( ) : 1532869868017362617960174776335274005188614590576467842
LiuChangFeng2019_Theo_3_14 ( ) : 1532869868017362617960174620316738593821950780842101624
LiuChangFeng2019_Theo_3_12 ( ) : 1532869778056151916248632365805982625167311487895339008
two_pivot_block_construction ( ) : 1532869776651204092403240916354737729105827039207751680
multicomponent ( ) : 1532495542293136552393534905231451065275435992255561729
LiuChangFeng2019_Theo_2_6 ( ) : 1532495540865895179214179953700219242497095704285806592
LMRD ( ) : 1532495540865888858358347027150309183618739122183602176
graham_sloane ( ) : 47616637318166345607857311819929827082815270108759
sphere_covering ( ) : 41664716592282292658620457343209165930400005924394
HKK_lemma_2_4_lower_bound ( ) : 730957487048110095465599675204240181870696595456
trivial_1 ( ) : 0

Upper bounds

Ahlswede_Aydinian ( 1, 5 ) : 1560301971644512899016862755866569763318815655984177729
anticode ( ) : 1560301971644512899016862755866569763318815655984177729
ilp_1 ( 1 ) : 1560301971644512899016862755866569763318815655984177729
ilp_2 ( 5 ) : 1560301971644512899016862755866569763318815655984177729
improved_johnson ( ) : 1560301971644512899016862755866569763318815655984177729
johnson_1 ( ) : 1560301971644512899016862755866569763318815655984177729
linear_programming_bound ( ) : 1560301971644512899016862755866569763318815655984177729
singleton ( ) : 1783195450928011476668648470344552094424349050302879369
ilp_4 ( 17 ) : 12482415763143029719256373400834214443734548296560316999
johnson_2 ( ) : 12482415763143029719256373400834214443734548296560316999
HKK_lemma_2_4_upper_bound ( ) : 51127999344819751967660646122948444643364811247569356272254
ilp_3 ( 7 ) : 409023995091874635940228064878877984564869415324170471940673
all_subs ( ) : 122540725761559997805240746641257692029742922745214204200122046089
sphere_packing ( ) : 122540725761559997805240746641257692029742922745214204200122046089

Bound for codes containing the lifted MRD code

(see EtzionSilberstein2012, Heinlein2018, and Kurz2019 for details)
1532937664995506006343249992786327296848741562223501889

Do you have better bounds?

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